hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Schreier domain
In abstract algebra, a Schreier domain, named after Otto Schreier, is an integrally closed domain where every nonzero element  is primal; i.e., whenever x divides yz, x can be written as x = x1 x2 so that x1 divides y and x2 divides z. An integral domain is said to be pre-Schreier if every nonzero element is primal. A GCD domain is an example of a Schreier domain. The term "Schreier domain" was introduced by P. M. Cohn in 1960s. The term "pre-Schreier domain" is due to Muhammad Zafrullah.

In general, an irreducible element is primal if and only if it is a prime element. Consequently, in a pre-Schreier domain, every irreducible is prime. In particular, an atomic pre-Schreier domain is a unique factorization domain; this generalizes the fact that an atomic GCD domain is a UFD.

Atomic domain
In mathematics, more specifically ring theory, an atomic domain or factorization domain is an integral domain in which every non-zero non-unit  can be written in at least one way as a finite product of irreducible elements. Atomic domains are different from unique factorization domains in that this decomposition of an element into irreducibles need not be unique; stated differently, an irreducible element is not necessarily a prime element.

Important examples of atomic domains include the class of all unique factorization domains and all Noetherian domains. More generally, any integral domain satisfying the ascending chain condition on principal ideals (ACCP) is an atomic domain. Although the converse is claimed to hold in Cohn's paper, this is known to be false.

The term "atomic" is due to P. M. Cohn, who called an irreducible element of an integral domain an "atom".
DPHS
DPHS, in the United States, may stand for:

Deer Park High School (disambiguation):
Deer Park Junior/Senior High School, Cincinnati, Ohio
Deer Park High School (New York), Deer Park, New York, on Long Island
Deer Park High School (Texas), in the Deer Park Independent School District, Deer Park, Texas

Dr. Phillips High School, Orlando, Florida

Dos Pueblos High School Goleta, California

De Pere High School, a senior high school in De Pere, Wisconsin

Deer Park High School
Deer Park High School can refer to:

Deer Park Junior/Senior High School in Ohio

Deer Park High School (New York), Deer Park, New York, on Long Island

Deer Park High School (Texas)

Deer Park High School (Washington State)
William Prince (politician)
William Prince (1772 – September 8, 1824) was a U.S. representative from Indiana.

Born in Ireland in 1772, Prince immigrated to the United States in 1796 and settled in Indiana.
He studied law.
He served as Commissioner for Gibson County, Indiana, and drew the winning lot to become the county seat's namesake in 1814.
Prince served in the Indiana Territorial Council. He then served as territorial auditor.
He served in the State senate in 1816. Prince also served as state circuit judge.
He served as delegate to the State constitutional convention in 1816.
He served as captain in the Battle of Tippecanoe.
He served as member of the State house of representatives in 1821 and 1822.
He was elected as a Democratic-Republican to the Eighteenth Congress and served from March 4, 1823, until his death near Princeton, Indiana, September 8, 1824.
He was interred in the Old Cemetery, near Princeton.

Princeton, Indiana is named for him.

18th United States Congress
The 18th United States Congress was a meeting of the legislative branch of the United States federal government, consisting of the United States Senate and the United States House of Representatives. It met in Washington, D.C., from March 4, 1823, to March 4, 1825, during the seventh and eighth years of James Monroe's presidency. The apportionment of seats in the House of Representatives was based on the 1820 United States census. Both chambers had a Democratic-Republican majority.
Zolty Cracker
Zolty Cracker is a Canadian band based out of Vancouver, British Columbia, Canada.  The band was named for lead vocalist and guitarist Gilles Zolty; the other members were Annie Wilkinson (bass, accordion, vocals, cello) and Ronald Wayne Adams (drums, percussion, harmonica, vocals). Their music has been described by The Province as an "eccentric punk-folk hybrid", although their mix of styles includes punk, rock, thrash, funk, world beat, acoustic folk and traditional waltz.

The Province
The Province is a daily newspaper published in tabloid format in British Columbia by Pacific Newspaper Group, a division of Postmedia Network, alongside the Vancouver Sun broadsheet newspaper. Together, they are British Columbia's only two major newspapers.

Formerly a broadsheet, The Province later became tabloid paper-size. It publishes daily except Saturdays, Mondays (as of October 17, 2022) and selected holidays.
Valley Bend, Randolph County, West Virginia
Valley Bend is a census-designated place (CDP) in Randolph County, West Virginia, United States. Valley Bend is located on U.S. routes 219 and 250, as well as state routes 55 and 92, 3.5 miles (5.6 km) northwest of Mill Creek. Valley Bend has a post office with ZIP code 26293. As of the 2020 census, its population was 470 (down from 485 at the 2010 census).

The community was named for a nearby meander in the Tygart Valley River.

West Virginia Route 92
West Virginia Route 92 is a north–south state highway located in West Virginia, US. The southern terminus of the route is at U.S. Route 60 in White Sulphur Springs a half-mile northwest of Interstate 64 exit 181. The northern terminus is at West Virginia Route 7 in Reedsville.
Community strategy
A community strategy (strictly speaking a "sustainable community strategy" (SCS) further to the Sustainable Communities Act 2007 is a long-term strategy for the economic, social and environmental well-being of a local authority area in England.

Community strategies were first mandated under section 4 of the Local Government Act 2000  (c. 22), which then related to England and Wales, although subsequent legislation has separated the provisions into discrete statutes for each nation.

Every principal Local Authority must have a  Community Strategy 'for promoting or improving the economic, social and environmental well-being of their areas, and contributing to the achievement of sustainable development in the UK'. Each local authority should work with the voluntary sector and private sector, as well as local people, to agree the content.

Sustainable Communities Act 2007
The Sustainable Communities Act 2007 (c. 23) is an act of the Parliament of the United Kingdom.  The Bill for this Act was a Private Member's Bill.

The Sustainable Communities Act represents the campaign success by Local Works, a UK coalition of over 100 national organisations, to introduce legislation that will help reverse the trend of community decline, also called 'Ghost Town Britain'. Ghost Town Britain refers to the ongoing loss of local facilities and services including, amongst others: shops, markets, Post Offices, pubs, bank branches and health centres, etc. The term 'Ghost Town Britain' was initially coined by the British think-tank the New Economics Foundation.

The Act was amended by the Sustainable Communities Act 2007 (Amendment) Act 2010.
Jenckes Spinning Company
The Jenckes Spinning Company is a historic textile factory complex in Pawtucket, Rhode Island.  Located on Conant and Weeden Streets, the complex was developed between 1883 and 1919, and was home to the city's largest employer in the 1910s, producing cotton fabric and fabric for use in automotive tires until 1933.  The factory complex was listed on the National Register of Historic Places in 2018.

Pawtucket, Rhode Island
Pawtucket (/pəˈtʌkɪt/ ⓘ pə-TUK-it) is a city in Providence County, Rhode Island, United States. The population was 75,604 at the 2020 census, making the city the fourth-largest in the state. Pawtucket borders Providence and East Providence to the south, Central Falls and Lincoln to the north, and North Providence to the west. The city also borders the Massachusetts municipalities of Seekonk and Attleboro.

Pawtucket was an early and important center of textile manufacturing. It is home to Slater Mill, a historic textile mill recognized for helping to found the Industrial Revolution in the United States.
House of Diehl
House of Diehl was the New York-based fashion partnership of Mary Jo Diehl and Roman Milišić. House of Diehl is one of those avant garde fashion labels whose clothes are more likely to be seen in an I-D editorial or on the back of Lady Gaga, than a department store. Their work has also been exhibited in numerous in art environments, including the Massachusetts Museum of Contemporary Art, Deitch Projects gallery, the Priska C. Juschka gallery, and GAle GAtes et al.

They are best known for their rock'n'roll-style live fashion performance, called Instant Couture, with which they've supported Sonic Youth, and staged events at New York Fashion Week; at the Life Ball in Vienna, Austria. Competitive Instant Couture is called Style battling, a growing art form, which has given rise to the Style Wars- The Style Battle Championship Tour. Style Wars toured the US in Fall 2007, and again in 2009. International Style Wars battles have taken place in cities on all five continents.

I-D
i-D is a British biannual magazine dedicated to fashion, music, art, film and youth culture. The magazine was launched in 1980 by Terry Jones, originally as a hand-stapled fanzine. It has since evolved into a glossy publication.

In 2023 the magazine's publication was put on hold following its acquisition by Bedford Media. It returned in Spring 2025 as a biannual publication.
Rating system
A rating system can be any kind of rating applied to a certain application domain. They are often created using a rating scale.

Examples include:

Motion picture content rating system
Motion Picture Association film rating system
Canadian motion picture rating system

Television content rating system

Video game content rating system

DC Comics rating system

Marvel Comics rating system

Elo rating system

Glicko rating system

Chess rating system

Rating system of the Royal Navy

Star rating

Sports rating system

Wine rating

Texas Education Agency accountability ratings system

Rating system of the Royal Navy
The rating system of the Royal Navy and its predecessors were used by the Royal Navy between the beginning of the 17th century and the middle of the 19th century to categorise sailing warships, initially classing them according to their assigned complement of men, and later according to the number of their carriage-mounted guns.  The rating system of the Royal Navy formally came to an end in the late 19th century by declaration of the Admiralty; rating ships by the number of guns had become obsolete with new types of gun, the introduction of steam propulsion and the use of iron and steel armour.
Amullaivoyal
Amullaivoyal (Tamil: ஆமுல்லைவாயல்), is a rural industrial area in North Chennai, a metropolitan city in Tamil Nadu, India and a part in Manali industrial area. Though it is located within Greater Chennai Corporation limits it is lack behind the development of the neighbourhood. The arterial roads to Amullaivoyal are the Ammullaivoyal - Vaikkadu Road, Anna Salai (Andarkuppam - Red Hills Road) and the Neduchezhian street. The Inner Ring Road becoming functional the area was easily accessible from the Chennai Mofussil Bus Terminus. Also, with MTC operating more buses from Manali. Tiruvottiyur railway station is the nearest Railway Station of Amullaivoyal, which is 6 km away from Amullaivoyal.

Greater Chennai Corporation
Greater Chennai Corporation (GCC)  is a local government for the City of Chennai in the Chennai Metropolitan Area of Tamil Nadu, India. Inaugurated on 29 September 1688, under a royal charter issued by King James II of England on 30 December 1687 as the Corporation of Madras, it is the oldest municipal body of the Commonwealth of Nations outside Great Britain. It is the largest municipal corporation in Tamil Nadu with an area of 426 km2. It is headed by a mayor, who presides over 200 councillors, each of whom represents one of the 200 wards of the city. It is the second oldest corporation in the world after the City of London. The city limits, which had been expanded several times over the years, is currently coterminous with the Chennai district. It is one of the four municipal corporations located within the Chennai Metropolitan Area, the other three being the Tambaram Corporation, Avadi City Municipal Corporation and Kanchipuram Municipal Corporation.
2022 America East women's basketball tournament
The 2022 America East Women's Basketball Conference tournament was the postseason women's basketball tournament for the America East Conference that began March 5, 2022 and ended with the final on March 11, 2022. The second-seeded Albany Great Danes defeated the top seed Maine Black Bears in the tournament final to advance to the 2022 NCAA tournament, their seventh tournament appearance. All tournament games were played on the home arenas of the higher-seeded school.

Maine Black Bears women's basketball
The Maine Black Bears women's basketball team is the basketball team that represents University of Maine in Orono, Maine, United States.  The school's team currently competes in the America East Conference.
Wombat 100
The Wombat 100 is an endurance mountain biking event held each year since 2008 in Wombat State Forest, in western central Victoria, Australia. The main race is set on a 100 kilometre course with minimal repetition. The exact route changes each year, but usually features roughly equal parts of singletrack and firetrail or dirt road, with no asphalt. Categories include men, women, elite, veterans, juniors (on a much shorter course) and cyclocross.

Central Highlands (Victoria)
The Central Highlands subregion is part of the Grampians region in western Victoria. It includes the municipalities of Rural City of Ararat, City of Ballarat, Golden Plains Shire, Shire of Hepburn, Shire of Moorabool, Shire of Pyrenees.

The term is mainly used in a geological context to describe that part of the Great Dividing Range that is west of its alpine areas but does not extend to its western end in Victoria's west. The area is situated east of Ballarat, south of Bendigo, north and east of Melbourne, and west of the alpine areas. Major towns of the Central Highlands include Castlemaine, Creswick, Daylesford, Gisborne, Kyneton and Woodend. All these towns are located in what is usually referred to as the West Central Highlands. The more mountainous and more sparsely populated eastern part of the Central Highlands is referred to as the East Central Highlands and has extensive areas of temperate rainforest.
Luke Kennard
Luke Douglas Kennard (/kəˈnɑːrd/ kə-NARD; born June 24, 1996) is an American professional basketball player for the Los Angeles Lakers of the National Basketball Association (NBA). He played college basketball for the Duke Blue Devils and was drafted by the Detroit Pistons with the 12th pick in the 2017 NBA draft. He has also played for the Los Angeles Clippers, Memphis Grizzlies, and Atlanta Hawks. He currently ranks second in NBA history in career three-point field goal percentage and first amongst active players.

Duke Blue Devils
The Duke Blue Devils are the intercollegiate athletic teams that represent Duke University, located in Durham, North Carolina. Duke's athletics department features 27 varsity teams that all compete at the National Collegiate Athletic Association (NCAA) Division I level. The name comes from the French "les Diables Bleus" or "the Blue Devils," which was the nickname given during World War I to the Chasseurs Alpins, the French Alpine light infantry battalion.

Duke joined the Southern Conference in 1929, and left in 1953 to become a founder of the Atlantic Coast Conference.
Poręba, Świętokrzyskie Voivodeship
Poręba [pɔˈrɛmba] is a village in the administrative district of Gmina Gnojno, within Busko County, Świętokrzyskie Voivodeship, in south-central Poland. It lies approximately 3 km (2 mi) north of Gnojno, 20 km (12 mi) north-east of Busko-Zdrój, and 34 km (21 mi) south-east of the regional capital Kielce.

Busko County
Busko (Polish: powiat buski) is a unit of territorial administration and local government (powiat) in Świętokrzyskie Voivodeship, south-central Poland. It came into being on January 1, 1999, as a result of the Polish local government reforms passed in 1998. Its administrative seat and only town is Busko-Zdrój, which lies 47 kilometres (29 mi) south of the regional capital Kielce.

The county covers an area of 967.39 square kilometres (373.5 sq mi). As of 2019 its total population is 67,821, out of which the population of Busko-Zdrój is 15,832 and the rural population is 51,989.
Montana Vista, Texas
Montana Vista is an unincorporated community in El Paso County, Texas, United States.  This Colonia lies northeast of Horizon City and far east of El Paso.

Montana Vista is located at 32°41′55″N 107°12′47″W﻿ / ﻿32.69861°N 107.21306°W﻿ / 32.69861; -107.21306 (31.682315, -106.196127). The community is part of the El Paso Metropolitan Statistical Area.

Horizon City, Texas
Horizon City is a city in El Paso County, Texas, United States. As of the 2020 United States Census, its population was 22,489, reflecting an increase of 5,754 from the 16,735 counted in the 2010 Census.
Dickie Roche
Richard Edwin Roche (22 February 1930 – 20 February 2017) was an Irish international rugby union player.

Roche was born in Woodford, County Galway, and educated at Garbally College.

A winger, Roche played his rugby with the University of Galway, Dolphin, Galwegians and Connacht, while gaining four Ireland caps. He featured twice for Ireland in both the 1955 and 1957 Five Nations campaigns, becoming the first player to be capped while playing for a Connacht club.

Roche was an engineer and builder by trade.

Garbally College
St. Joseph's College, Garbally Park (Irish: Coláiste Sheosaimh) was an Irish voluntary Catholic secondary school situated in Garbally Park, the former seat of the Earl of Clancarty, in Ballinasloe, County Galway. It was a single-sex boys day school which had previously served as a boarding school. It was more commonly known as Garbally College (Irish: Coláiste Ghearrbhaile). It amalgamated with Ardscoil Mhuire in September 2025 to become Clonfert College.
Eagle Hotel (Waterford, Pennsylvania)
The Eagle Hotel, also called the Stone Hotel, is a former hotel built in 1826 in Waterford, Erie County in the U.S. state of Pennsylvania. It was documented by the Historic American Buildings Survey in 1933 and was listed on the National Register of Historic Places on November 28, 1977. The first floor of the Eagle Hotel is used by the Sugar 'n Spice restaurant, with the second and third floors used as a museum by the Fort Le Boeuf Historical Society.

Erie County, Pennsylvania
Erie County is the northernmost county in the Commonwealth of Pennsylvania. As of the 2020 census, the population was 270,876. Its county seat is Erie. The county was created in 1800 and later organized in 1803. The county is part of the Northwest region of the commonwealth.
USS Comet (SP-772)
The second USS Comet (SP-772) was a United States Navy patrol vessel in commission during 1918.

Comet was built as a commercial motor fishing trawler of the same name in 1910 by E. W. Heath & Company at Tacoma, Washington. On 26 November 1917, the U.S. Navy acquired her from her owner, the San Juan Fishing & Packing Company of Seattle, Washington, for use as a section patrol vessel during World War I. She was commissioned as USS Comet (SP-772) on 15 February 1918.

Assigned to the 13th Naval District in the Pacific Northwest area of the United States, Comet served on naval duties for about the next six months.

In August 1918, the Commandant, 13th Naval District, received orders to return Comet to her owner. Accordingly, Comet was returned to San Juan Fishing & Packing on 23 August 1918.

Commandant
Commandant (/ˌkɒmənˈdɑːnt/ or /ˌkɒmənˈdænt/; French: [kɔmɑ̃dɑ̃]) is a title often given to the officer in charge of a military (or other uniformed service) training establishment or academy. This usage is common in English-speaking nations. In some countries it may be a military or police rank. It is also often used to refer to the commander of a military prison or prison camp (including concentration camps and prisoner of war camps).
2017–18 Primeira Liga
The 2017–18 Primeira Liga (also known as Liga NOS for sponsorship reasons) was the 84th season of the Primeira Liga, the top professional league for Portuguese association football clubs. Benfica were the defending champions for a fourth consecutive time, but they did not retain the title. Porto became the new champions with two matches to spare, clinching their 28th league title. This was their first trophy in four years.

Since Portugal dropped from fifth to seventh place in the UEFA association coefficient rankings at the end of 2016–17 season, only the two best-ranked teams could qualify for the UEFA Champions League (the champions entered directly into the group stage, and the runners-up entered the third qualifying round). The third and fourth-placed teams qualified respectively to the UEFA Europa League third and second qualifying rounds.

C.D. Aves
Clube Desportivo das Aves (Portuguese pronunciation: [ˈkluβɨ ðɨʃpuɾˈtivu ðɐz ˈavɨʃ]), commonly known as Desportivo das Aves, or simply as Aves, was a Portuguese football club based in Vila das Aves, Santo Tirso. The club was founded on 12 November 1930 and played at the Estádio do Clube Desportivo das Aves, which holds a seating capacity of 6,230.

As a sports club, it has football schools for junior players and two futsal teams for both men and women, as well as a football trial system to help younger players come through the academy. The club's official supporters' group was the Força Avense.
Neoguillauminia
Neoguillauminia is a genus of plants in the family Euphorbiaceae first described as a genus in 1938. It contains only one known species, Neoguillauminia cleopatra,  endemic to New Caledonia. Its closest relative is Calycopeplus from Australia.

Euphorbiaceae
Euphorbiaceae (/juːˈfɔːrbiˌeɪsi.iː, -ˌaɪ/), the spurge family, is a large family of flowering plants. In English, they are also commonly called euphorbias, which is also the name of the type genus of the family. Most spurges, such as Euphorbia paralias, are herbs, but some, especially in the tropics, are shrubs or trees, such as Hevea brasiliensis. Some, such as Euphorbia canariensis,: 206  are succulent and resemble cacti because of convergent evolution. This family has a cosmopolitan global distribution. The greatest diversity of species is in the tropics; however, the Euphorbiaceae also have many species in nontropical areas of all continents except Antarctica.
Drosera sessilifolia
Drosera sessilifolia is a species in the carnivorous plant genus Drosera that is native to Brazil, Guyana, and Venezuela and grows in sandy or gravelly soils in seasonal seepages where a thin film of water collects. It produces a rosette of small, wedge-shaped to round carnivorous leaves that are usually yellowish but become redder with age. Inflorescences produce pink-lilac flowers. It has a diploid chromosome number of 2n = 20.

Rosette (botany)
In botany, a rosette is a circular arrangement of leaves or of structures resembling leaves.

In flowering plants, rosettes usually sit near the soil, but they can also be at the top of an otherwise leafless branch or trunk. Their structure is an example of a modified stem in which the internode gaps between the leaves do not expand, so that all the leaves remain clustered tightly together and at a similar height. Some insects induce the development of galls that are leafy rosettes.

In bryophytes and algae, a rosette results from the repeated branching of the thallus as the plant grows, resulting in a circular outline.