hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Graded-commutative ring
In algebra, a graded-commutative ring (also called a skew-commutative ring) is a graded ring that is commutative in the graded sense; that is, homogeneous elements x, y satisfy

where |x| and |y| denote the degrees of x and y.

A commutative (non-graded) ring, with trivial grading, is a basic example. For a nontrivial example, an exterior algebra is generally not a commutative ring but is a graded-commutative ring.

A cup product on cohomology satisfies the skew-commutative relation; hence, a cohomology ring is graded-commutative. In fact, many examples of graded-commutative rings come from algebraic topology and homological algebra.

Commutative ring
In mathematics, a commutative ring is a ring in which the multiplication operation is commutative. The study of commutative rings is called commutative algebra. Complementarily, noncommutative algebra is the study of ring properties that are not specific to commutative rings. This distinction results from the high number of fundamental properties of commutative rings that do not extend to noncommutative rings.

Commutative rings appear in the following chain of class inclusions:

rngs ⊃ rings ⊃ commutative rings ⊃  integral domains ⊃ integrally closed domains ⊃ GCD domains ⊃ unique factorization domains ⊃ principal ideal domains ⊃ Euclidean domains ⊃ fields ⊃ algebraically closed fields
Renel Brooks-Moon
Renel Brooks-Moon (born September 22, 1958), known on-air simply as Renel, is an American former radio personality who hosted shows on radio stations KCBS, KFRC, KMEL, and KISQ before serving as the public address announcer for the San Francisco Giants from 2000 to 2024. Though she is the second female PA announcer in Giants and Major League Baseball history, Renel is the first African-American woman to be a Major League Baseball PA announcer as well as the first female PA announcer to announce a championship game and MLB's annual All-Star Game.

KMEL
KMEL (106.1 FM) is an urban contemporary radio station that is licensed to San Francisco, California, serving the San Francisco Bay Area. It is owned and operated by iHeartMedia.

KMEL has studios located in the SoMa district, and broadcasts a "superpower" Class B signal of 69,000 watts from a transmitter atop the San Bruno Mountains south of San Francisco. The station's powerful signal is heard all over the Bay Area and covers areas as far north as Santa Rosa and as far south as the Santa Cruz Mountains. It is currently one of the highest-rated stations in the San Francisco Bay Area, with the largest listening audience in the males 18-to-34 year-old demographic.
Chiers
The Chiers (French pronunciation: [ʃjɛʁ]; Luxembourgish: Kuer [kuːɐ̯]; German: Korn [kɔʁn] ⓘ) is a river in Luxembourg, Belgium and France. It is a right tributary of the Meuse. The total length of the Chiers is approximately 140 kilometres (87 mi), of which 127 km (79 mi) in France.

The source of the Chiers is near Differdange, in Luxembourg. The Chiers flows roughly in a westerly direction, and crosses the border with Belgium and flows through Athus (province of Luxembourg).

It then crosses the border with France, flows through Longwy and Longuyon (Meurthe-et-Moselle) and forms the border with Belgium for a few kilometres near Torgny (in the municipality of Rouvroy). It continues through France, along Montmédy (Meuse) and Carignan (Ardennes).

The Chiers flows into the Meuse at Bazeilles, near Sedan.

The main tributaries of the Chiers are the Loison and the Othain, along with smaller tributaries like the Aulnois.

Othain
The Othain (French pronunciation: [ɔtɛ̃]) is a 67-kilometre (42 mi) long river in the Meurthe-et-Moselle and Meuse départements, northeastern France. Its source is at Gondrecourt-Aix, in the Woëvre. It flows generally northwest. It is a left tributary of the Chiers into which it flows between Villécloye and Montmédy.
Upper Arrow Lake Ferry
The Upper Arrow Lake Ferry is a ferry across Upper Arrow Lake in the West Kootenay region of southeastern British Columbia. Linking Shelter Bay and Galena Bay, the ferry, part of BC Highway 23, is by road about 52 kilometres (32 mi) south of Revelstoke and 47 kilometres (29 mi) north of Nakusp.

Needles Ferry
The Needles Ferry is a cable ferry across Lower Arrow Lake in the West Kootenay region of southeastern British Columbia. Linking Needles and Fauquier, the ferry, part of BC Highway 6, is by road about 135 kilometres (84 mi) southeast of Vernon and 57 kilometres (35 mi) southwest of Nakusp.
Grown Up Movie Star
Grown Up Movie Star is a 2010 Canadian drama film written, directed and co-produced by Adriana Maggs. Shawn Doyle, Jill Knox Gosse and Paul Pope are the other co-producers. The film was produced by Pope Productions and distributed in Canada by Mongrel Media.

Pope Productions
Pope Productions is a St. John's, Newfoundland and Labrador based company specializing in feature film, documentary and television formats. Founded in 1998 by Paul Pope, it has grown to be a prominent independent production company in Newfoundland and Labrador.

Founder Paul Pope died in April 2022. He was posthumously named by the Academy of Canadian Cinema and Television as a recipient of its Board of Directors Tribute Award at the 11th Canadian Screen Awards in 2023.

Pope Productions is now led by Lisa Porter, Paul Pope's wife and business partner.
Jules-Albert de Dion
Marquis Jules Félix Philippe Albert de Dion de Wandonne (French pronunciation: [ʒyl feliks filip albɛʁ də djɔ̃ də wɑ̃dɔn]; 9 March 1856 – 19 August 1946) was a French pioneer of the automobile industry. He invented a steam-powered car and used it to win the world's first auto race, but his vehicle was adjudged to be against the rules. He was a co-founder of De Dion-Bouton, the world's largest automobile manufacturer for a time, as well as the French sports newspaper L'Équipe.

De Dion-Bouton
De Dion-Bouton was a French automobile manufacturer and railcar manufacturer, which operated from 1883 to 1953. The company was founded by the Marquis Jules-Albert de Dion, Georges Bouton, and Bouton's brother-in-law Charles-Armand Trépardoux.
Wolfeboro, New Hampshire
Wolfeboro is a town in Carroll County, New Hampshire, United States. The population was 6,416 at the 2020 census. A resort area on Lake Winnipesaukee, the town includes the villages of Wolfeboro, East Wolfeboro, North Wolfeboro, South Wolfeboro, Wolfeboro Center, and Wolfeboro Falls.

Lake Winnipesaukee
Lake Winnipesaukee (/ˌwɪnɪpəˈsɔːki/) is the largest lake in the U.S. state of New Hampshire, located in the Lakes Region at the foothills of the White Mountains. It is approximately 21 miles (34 km) long (northwest-southeast) and from 1 to 9 miles (1.6 to 14.5 km) wide (northeast-southwest), covering 69 square miles (179 km2)—71 square miles (184 km2) when Paugus Bay is included—with a maximum depth of 180 feet (55 m). The center area of the lake is called The Broads.: 31

The lake contains at least 264 islands, half of which are less than 0.25 acres (0.10 ha) in size, and is indented by several peninsulas, yielding a total shoreline of approximately 288 miles (463 km). The driving distance around the lake is 63 miles (101 km). It is 504 feet (154 m) above sea level. Winnipesaukee is the third-largest lake in New England after Lake Champlain and Moosehead Lake.

Outflow is regulated by the Lakeport Dam in Lakeport, New Hampshire, on the Winnipesaukee River.
The Thirteenth Commandment
The Thirteenth Commandment is a 1920 American silent drama film directed by Robert G. Vignola and written by Alice Eyton. The film stars Ethel Clayton, Charles Meredith, Monte Blue, Anna Q. Nilsson, Irving Cummings and Winter Hall. It is based on the 1916 novel The Thirteenth Commandment by Rupert Hughes. The film was released on January 17, 1920, by Paramount Pictures. It is not known whether the film currently survives.

Charles Meredith (actor)
Charles Meredith (August 27, 1894 – November 28, 1964) was an American stage, film, and television actor, who also directed plays and taught in college drama departments. His screen career came in two widely separated phases: as a leading man for silent films in the early 1920s, and as a character actor for films and television from 1947 through 1964. He was a series regular on television shows Rocky Jones, Space Ranger and The Court of Last Resort.
War in the North
The War in the North (Spanish: Ofensiva del Norte) was a theatre of the Spanish Civil War that occurred in northern Spain from 31 March to 21 October 1937.

The Nationalists launched a number of offensives into parts of the Basque Country, Santander (Cantabria), and Asturias that formed an enclave loyal to the Republican government. The Biscay Campaign from March to July saw the bombing of Guernica and Durango and resulted in the Republicans losing the Basque Country after the Battle of Bilbao. The Nationalists captured Santander in September after the Battle of Santander and launched the Asturias Offensive against the last northern Republican stronghold in eastern Asturias. The Battle of El Mazucu saw fierce Republican resistance against Nationalist attacks and possibly the first use of carpet bombing against a military target. The War in the North ended when the Nationalists broke through the Republican lines and captured the city of Gijón at the end of October.

Biscay Campaign
The Biscay Campaign (Spanish: Campaña de Vizcaya) was an offensive of the Spanish Civil War which lasted from 31 March to 1 July 1937. 50,000 men of the Eusko Gudarostea met 65,000 men of the insurgent forces. After heavy combats the Nationalist forces with a crushing material superiority managed to occupy the city of Bilbao and the Biscay province.
Yavatmal
Yavatmal (pronunciationⓘ) is a city and municipal council in the Indian state of Maharashtra. It is the administrative headquarters of Yavatmal District. Yavatmal is around 90 km away from divisional headquarters Amravati while it is 670 km (420 mi) away from the state capital Mumbai and 150 km south west of Nagpur.

Wardha
Wardha is a city and a municipal council in Wardha district in the Indian state of Maharashtra. The administrative headquarter of Wardha district is situated here. Wardha gets its name from the Wardha River which flows on the northern, western and southern boundaries of the district. Founded in 1866, the town is now an important centre for cotton trade.
Ollie Olsen
Ollie Jngbert Christian Olsen (born Ian Christopher Olsen, 20 February 1958 – 16 October 2024) was an Australian multi-instrumentalist, composer, sound designer and pioneer of electronic music in the Southern Hemisphere. From the mid-1970s until his later years, he performed, recorded and produced electronic, rock and experimental music. His post-punk groups included Whirlywirld (1978–80), Orchestra of Skin and Bone (1984–86) and No (1987–89). Olsen joined with Michael Hutchence (of INXS) to form a short-term band, Max Q, which issued an album in 1989. He co-founded the alternative electronic music record label Psy-Harmonics with Bruce Butler in 1993, and later continued with Andrew Till.  In 2014 he formed Taipan Tiger Girls.

Orchestra of Skin and Bone
Orchestra of Skin and Bone were an Australian post-punk band active from 1984 to 1986. The band's core members were Ollie Olsen, Marie Hoy and John Murphy.

They released a self-titled album in 1985, with the line-up of Olsen on lead vocals and guitar, Murphy on drums, Arnie Hanna on guitar, Marie Hoy on keyboards, David Hoy on cello, Tom Hoy on saxophone, Loki Lockwood on piano frames, Dugald McKenzie on vocals and harmonica, James Rogers on trumpet and Peter Scully on guitar.

They also released cassettes on underground noise labels. According to Australian musicologist, Ian McFarlane, the ensemble "proved incomprehensible to local audiences and rarely played live." Two tracks from the album, "Sometimes", and "Ot-Ven-Rot" later appeared on the album by Olsen's project with Michael Hutchence, Max Q.
2018 ACB Playoffs
The 2018 ACB Playoffs, also known as 2018 Liga Endesa Playoffs for sponsorship reasons, was the postseason tournament of the ACB's 2017–18 season, which began September 29, 2017. The playoffs started on 27 May 2018 and ended on 19 June 2018 with the Finals.

Valencia Basket was the defending champion, but was defeated in quarterfinals by Herbalife Gran Canaria, who achieved qualification to the EuroLeague for the first time ever, but was defeated in semifinals by Real Madrid who won their 34th title after defeating Kirolbet Baskonia in finals.

CB Gran Canaria
Club Baloncesto Gran Canaria – Claret, S.A.D.,  known as Dreamland Gran Canaria due to sponsorship, is a professional basketball club based in Las Palmas, Spain. The team plays in the Spanish Liga ACB and the Champions League. Their home venue is the Gran Canaria Arena.
France in the Eurovision Song Contest 2022
France was represented at the Eurovision Song Contest 2022 with the song "Fulenn" performed by Alvan and Ahez. The French broadcaster France Télévisions organised the national final Eurovision France, c'est vous qui décidez ! in order to select the French entry for the 2022 contest. Twelve songs competed in the national final on 5 March 2022, where the winner was selected over two rounds of voting.

Fulenn
"Fulenn" (Breton: [ˈfyːlɛn]; transl. "Spark") is a song by French musician Alvan and the vocal group Ahez. It represented France in the Eurovision Song Contest 2022 in Turin, Italy, after winning Eurovision France, c'est vous qui décidez !, the French national final. It is the second time that France has selected a song sung in Breton, a Celtic language spoken in the region of Brittany, to represent the country at Eurovision, the first having occurred in 1996.
Porsche 911 GT3
The Porsche 911 GT3 is a high-performance homologation model of the Porsche 911 sports car. It is a range of high-performance models, which began with the 1973 911 Carrera RS. The GT3 has had a successful racing career in the one-make national and regional Porsche Carrera Cup and GT3 Cup Challenge series, as well as the international Porsche Supercup supporting the FIA F1 World Championship.
Porsche was founded by Ferdinand Porsche, a visionary automotive engineer, who established the company "Dr. Ing. h. c. F. Porsche GmbH" in Stuttgart in 1931

Porsche Supercup
The Porsche Supercup (officially known as Porsche Mobil 1 Supercup, known as Porsche Michelin Supercup prior to 2007 and often abbreviated as PSC) is an international one-make production stock car racing series supporting the FIA Formula One World Championship organized by Porsche Motorsport GmbH.

Porsche Supercup drivers compete in identical Porsche 911 GT3 Cup cars. On average, 24 race cars take part in each race. Most circuits visited by the series are European, although circuits in Bahrain, United Arab Emirates, the United States and Mexico have been included in the calendar as well.
The Good Wife (South Korean TV series)
The Good Wife (Korean: 굿 와이프) is a South Korean television series starring Jeon Do-yeon, Yoo Ji-tae and Yoon Kye-sang. It is a Korean drama remake of the American television series of the same title which aired on CBS from 2009 to 2016. It replaced Dear My Friends and aired on the cable network tvN every Fridays and Saturdays at 20:30 (KST) for 16 episodes from July 8 to August 27, 2016.

Yoon Kye-sang
Yoon Kye-sang (Korean: 윤계상; born December 20, 1978) is a South Korean actor and singer. He began his career in 1999 as part of the K-pop boy band g.o.d, then left the group in 2004 and pursued an acting career. He made his acting debut in the film Flying Boys (2004), for which he won Best New Actor at the Baeksang Arts Awards. Yoon became active in both television and film, with leading roles in romantic comedies such as My 19 Year Old Sister-in-Law (2004) and Who Are You? (2008) and the melodrama Crazy for You (2007), as well as more serious fare in The Moonlight of Seoul (2008) and The Executioner (2009). After a supporting turn in the hit series The Greatest Love (2011), he returned to the big screen in the well-received indie Poongsan (2011).
Iraqi Second Division League
The Iraqi Second Division League is a football league that is the fourth tier of the Iraqi football league system. The league was founded in 1974, and consists of 20 teams split into two groups. The winners of each group are promoted to the Iraqi First Division League and advance to the final to compete for the league title. The runners-up of each group compete in a two-legged third place play-off, with the winners also being promoted to the First Division League.

The two teams that finish bottom of their group are relegated to the Iraqi Third Division League. The ninth-placed teams of each group compete in a two-legged play-off, with the loser also being relegated to the Third Division League. The league is governed by the Iraq Football Association (IFA).

In the 2024–25 season, Aliyat Al-Shorta won the championship title after defeating Masafi Al-Shamal 3–1 in the final match.

Iraqi Third Division League
The Iraqi Third Division League is a football league that is the fifth tier of the Iraqi football league system. The league was established in 2024.

In the 2024–25 season, Al-Sinaat Al-Harbiya won the championship title after defeating New Sirwan 2–1 in the final match.
George Keith, 5th Earl Marischal
George Keith, 5th Earl Marischal (c. 1553–1623) was a Scottish nobleman and Earl Marischal. He succeeded as earl on 7 October 1581, upon the death of his grandfather, William Keith, 4th Earl Marischal.

Andrew Keith, Lord Dingwall
Andrew Keith, Lord Dingwall (died 1606) was a Scottish landowner, soldier, and diplomat.

Andrew Keith was a grandson of William Keith, 4th Earl Marischal, a son of Robert Keith, the second Commendator of Deer. He spent his early career as a soldier in the service of Sweden, as a supporter and later an official of John III of Sweden, and had been made Baron Forsholm.
Hohegeiß
Hohegeiss (German: Hohegeiß, pronounced [ˈhoːəˌɡaɪs]) is a health resort and winter sports village in the Harz mountains range in Lower Saxony, Germany. Since 1 July 1972 Hohegeiss has been part of the town of Braunlage, in the district of Goslar.

Braunlage
Braunlage (German pronunciation: [bʁaʊnˈlaːɡə] ⓘ) is a town and health resort in the Goslar district of Lower Saxony in Germany. Situated within the Harz mountain range, south of the Brocken massif, Braunlage's main business is tourism, particularly skiing. Nearby ski resorts include the Sonnenberg and the slopes on the Wurmberg.
Lemvig Line
The Lemvig Line (Danish: Lemvigbanen or Vemb-Lemvig-Thyborøn Jernbane (VLTJ)) is a 57 km (35 mi) long local railway line in Northwest Jutland, Denmark. The railway links the fishing port of Thyborøn and the market town of Lemvig with the Danish railway network.

Established in sections between 1879 and 1899, the standard gauge single track railway line is mostly level. It is currently owned and operated by the regional railway company Midtjyske Jernbaner (MJBA) which runs frequent local train services from Thyborøn and Lemvig stations to Vemb station on the Esbjerg–Struer railway line, with onward connections from Vemb to the rest of Denmark.

The unelectrified railway is operated with a fleet of five double-unit Y-train railcars, but from 2025 battery trains are gradually starting to operate on the Lemvig Line, as the first railway line in Denmark. VLTJ has its own workshop and servicing facilities on the line.

Thyborøn
Thyborøn is a fishing village in Jutland, Denmark, with a population of 1,740 (1 January 2025), mainly known for being the site of numerous shipwrecks, such as that of the Imperial Russian naval vessel Alexander Nevsky.

It is located in Region Midtjylland in Lemvig Municipality.

Thyborøn was the municipal seat of the former Thyborøn-Harboøre Municipality until 1 January 2007.

The town is served by Thyborøn railway station which opened in 1899. It is the northern terminus of the Lemvig railway line which connects Thyborøn with Lemvig, Vemb and the rest of the Danish rail network.
1963 Goa, Daman and Diu Legislative Assembly election
The first elections to the Goa, Daman and Diu Legislative Assembly were held in December 1963, to elect members of the 30 constituencies, in the Union territory of Goa, Daman and Diu, India.

The Maharashtrawadi Gomantak Party won the most seats (fourteen), and its leader, Dayanand Bandodkar was appointed as the Chief Minister of Goa, Daman and Diu. The United Goans Party won 12 seats, three seats were won by Independents, whereas the Jawaharlal Nehru-led Indian National Congress only won one seat.

United Goans Party
The United Goans Party (UGP) is a political party in state of Goa. It was formed in 1963 in the former union territory of Goa, Daman and Diu, with Jack de Sequeira as its party leader, when multiple  regional parties merged during the Konkani language agitation.
Heywood and Royton
Heywood and Royton was a parliamentary constituency centred on the Heywood and Royton districts in the north-west of Greater Manchester.  It returned one Member of Parliament (MP)  to the House of Commons of the Parliament of the United Kingdom.

The constituency was created for the 1950 general election, and abolished for the 1983 general election, when its territory was largely divided between the new constituencies of Heywood & Middleton and Oldham Central and Royton.

Heywood and Middleton North
Heywood and Middleton North is a constituency in Greater Manchester represented in the House of Commons of the UK Parliament since 2024 by Elsie Blundell of the Labour Party.

Before the 2024 general election, the constituency was known as Heywood and Middleton. The 2023 review of Westminster constituencies proposed that two of the Middleton wards be included in a new constituency named Blackley and Middleton South and this seat be renamed Heywood and Middleton North.
Kappa Delta
Kappa Delta (ΚΔ, also known as KD or Kaydee) is an American collegiate social sorority. Established in 1897, it was the first sorority founded at the State Female Normal School (now Longwood University), in Farmville, Virginia. Kappa Delta is one of the "Farmville Four", four now national sororities that were established at the university. It is a member of the National Panhellenic Conference.

Farmville, Virginia
Farmville is a town in Prince Edward (south of the Appomattox river) and Cumberland (north of the Appomattox river) counties in the Commonwealth of Virginia. It is the county seat of Prince Edward County. The population was 7,473 at the 2020 census. Farmville was a major tobacco growing area in Virginia for over 100 years.

Farmville developed near the headwaters of the Appomattox River in central Virginia; the waterway was long its main transportation access to other markets. In the 19th century, a railroad through Farmville was developed, operating until the early 2000s, and subsequently adapted as the High Bridge Trail State Park, a rail trail park, approximately 30-mile-in length (48 km). US 15, VA 45 and US 460 now intersect at Farmville. The town is the home of Longwood University and is the town nearest to Hampden–Sydney College, which together comprise the core of the town's modern economy.
Lealui
Lealui or Lialui is the dry season residence on the Barotse Floodplain of the Litunga, king of the Lozi people of western Zambia.  It is located about 14 km west of the town of Mongu and about 10 km east of the river's main channel.  At the end of the rainy season, generally in March as the Upper Zambezi flood waters encroach on the compound, the Litunga moves to Limulunga on higher ground.  The move is celebrated in the Kuomboka festival, one of Zambia's most important and popular.

Lealui is on the Mongu-Kalabo Road and is at the eastern end of the Barotse Floodplain causeway.

Mongu
Mongu is the capital of Western Province in Zambia and was the capital of the formerly-named province and historic state of Barotseland. Its population is 179,585 (2010 census), and it is also the headquarters of Mongu District. Mongu is the home of the Litunga, King of the Lozi people (currently Lubosi Imwiko III).