PolyAgent/wiki_arabic_en_parallel_20231101 huggingface dataset:
Galois extension

Galois extension
In mathematics, a Galois extension is an algebraic field extension E/F that is normal and separable; or equivalently, E/F is algebraic, and the field fixed by the automorphism group Aut(E/F) is precisely the base field F. The significance of being a Galois extension is that the extension has a Galois group and obeys the fundamental theorem of Galois theory.
A result of Emil Artin allows one to construct Galois extensions as follows: If E is a given field, and G is a finite group of automorphisms of E with fixed field F, then E/F is a Galois extension.
Characterization of Galois extensions
An important theorem of Emil Artin states that for a finite extension each of the following statements is equivalent to the statement that is Galois:
is a normal extension and a separable extension.
is a splitting field of a separable polynomial with coefficients in
that is, the number of automorphisms equals the degree of the extension.
Other equivalent statements are:
Every irreducible polynomial in with at least one root in splits over and is separable.
that is, the number of automorphisms is at least the degree of the extension.
is the fixed field of a subgroup of
is the fixed field of
There is a one-to-one correspondence between subfields of and subgroups of
Examples
There are two basic ways to construct examples of Galois extensions.
Take any field , any finite subgroup of , and let be the fixed field.
Take any field , any separable polynomial in , and let be its splitting field.
Adjoining to the rational number field the square root of 2 gives a Galois extension, while adjoining the cubic root of 2 gives a non-Galois extension. Both these extensions are separable, because they have characteristic zero. The first of them is the splitting field of ; the second has normal closure that includes the complex cubic roots of unity, and so is not a splitting field. In fact, it has no automorphism other than the identity, because it is contained in the real numbers and has just one real root. For more detailed examples, see the page on the fundamental theorem of Galois theory.
An algebraic closure of an arbitrary field is Galois over if and only if is a perfect field.
Notes
Citations
References
Further reading
(Galois' original paper, with extensive background and commentary.)
(Chapter 4 gives an introduction to the field-theoretic approach to Galois theory.)
(This book introduces the reader to the Galois theory of Grothendieck, and some generalisations, leading to Galois groupoids.)
. English translation (of 2nd revised edition): (Later republished in English by Springer under the title "Algebra".)
Galois theory
Algebraic number theory
Field extensions
Santiago Bakero

Santiago Bakero Escudero (born 31 January 1958) is a Spanish former professional footballer who played as a forward and a right-back.
Club career
Born in Goizueta, Navarre, Bakero represented Palencia CF and Hércules CF in Segunda División. He played his first match in the competition while in service of the former club on 2 September 1979 in a 1–1 home draw against Algeciras CF, and scored his first goal the following 20 January to close a 2–2 away draw with Recreativo de Huelva.
Bakero signed with Hércules in early 1983, achieving promotion to La Liga at the end of his first full season and remaining there a further two years. His debut took place on 2 September 1984, in a 1–0 win at Real Zaragoza where he played the full 90 minutes.
In late 1986, Bakero joined Real Sociedad, being often deployed as a right-back and sharing teams with his younger sibling José Mari. He contributed 13 league appearances during the campaign, as the side won the Copa del Rey (three matches from the player, including the 10–1 trouncing of Mallorca Atlético in the quarter-finals).
Bakero retired at the age of 31.
Personal life
Bakero's brothers José Mari and Jon were also footballers, and forwards. His nephew, also named Jon, was also involved in the sport.
Career statistics
Notes
References
External links
1958 births
Living people
People from Norte de Aralar
Spanish men's footballers
Footballers from Navarre
Men's association football defenders
Men's association football forwards
Men's association football utility players
La Liga players
Segunda División players
Segunda División B players
Palencia CF players
Hércules CF players
Real Sociedad footballers
Jennifer Harrison

Jennifer Harrison (born 1955) is a contemporary Australian poet. She is a recipient of the Christopher Brennan Award.
Born in Liverpool, Sydney, Harrison studied medicine and then specialised in psychiatry. Since her first volume of poetry, Michelangelo's Prisoners in 1994, she has published several more, winning the 1995 Anne Elder Award and being short-listed for the 2000 Kenneth Slessor Prize for Poetry. In 2011 she won the Christopher Brennan Award for lifetime achievement in poetry. Her photography has been exhibited at the National Gallery of Victoria.
Having lived in the United States and New Zealand, Harrison resides in Melbourne and is employed as a child psychiatrist. She is also a photographer. She is The Dax Poetry Collection Manager for the Dax Centre at the University of Melbourne.
Works
Poetry
Michelangelo's Prisoners. (Black Pepper publishing, 1994)
Mosaics & Mirrors: Composite poems. (Black Pepper publishing, 1995)
Cabramatta/Cudmirrah. (Black Pepper publishing, 1996)
Dear B. (Black Pepper publishing, 1998)
Folly & Grief. (Black Pepper publishing, 2006) REVIEW REVIEW
Colombine, New & Selected Poems. (Black Pepper publishing, 2010)
Edited
With Phil Ilton, Said the Rat!. (Black Pepper publishing, 2003)
With Kate Waterhouse, Motherlode; Australian Women's Poetry 1986-2008. (Puncher & Wattmann, 2009)
References
External links
Jennifer Harrison Biography at Black Pepper publishing
1955 births
Living people
Collection managers
Writers from Sydney
Psychiatrists from Melbourne
Australian women poets
Australian women psychiatrists
Aielo de Malferit

Aielo de Malferit is a municipality in the comarca of Vall d'Albaida in the Valencian Community, Spain, most famous for being the birthplace of Nino Bravo.
Notable people
Ivana Andrés (born 1994), footballer for the Spain national team and captain for Real Madrid
Nino Bravo (born 1944), baroque pop and ballad singer
References
Municipalities in the Province of Valencia
Vall d'Albaida
Harry McMullan

Harry McMullan (23 July 1884 – 24 June 1955) was an American lawyer and politician who served as North Carolina Attorney General from 1938 until his death in 1955. He served in that office longer than any other person to date (17 years).
McMullan served in the North Carolina Senate from 1929 through 1933, representing the Beaufort County area. He subsequently served as director of the Collections and Assessments Division of the state Department of Revenue, chairman of the North Carolina Industrial Commission, and assistant attorney general of the state. In 1938, Governor Clyde R. Hoey elevated McMullan to the position of attorney general to replace Aaron A. F. Seawell, who had been appointed to the North Carolina Supreme Court.
References
1884 births
1955 deaths
North Carolina Attorneys General
North Carolina lawyers
North Carolina state senators
أجمل منك (مسلسل تركي)

أجمل منك (مسلسل تركي)
أجمل منك (بالتركية: Senden Daha Güzel)؛ هو مسلسل تلفزيوني تركي، المسلسل من نوع الكوميديا الرومانسية للمخرج دينيز كولوس ومن كتابة عائشة أونير كوتلو، بطولة جيمري بايسل وبوراك جيليك. تم عرضه من 7 يونيو إلى 17 سبتمبر 2022، تم بثه على قناة FOX كل يوم الثلاثاء ولكن تم تغيره إلى يوم السبت.
ملخص
تدور احداث المسلسل حول طبيبة جلدية تعمل في قريتها بعنتاب، وتدخل في صدام مع أحد الأطباء المشهورين في مجال التجميل.
الشخصيات
المشاهدات
الموسم 1
تقويم البث
الإنتاج
صناعة
المسلسل من إخراج دنيز كولوش من أعماله «مفقود» (2014)، شمس الشتاء (2016)، عروس إسطنبول (2017). ومن كتابة عائشة أونير كوتلو من اعمالها مسلسل الطائر المبكر (2018)، أنت اطرق بابي (2020). ومن إنتاج شركة جولد فيلم بتنسيق مع قناة فوكس كمساهم.
الإصدار
في 23 مايو 2022، تم إصدار أول صور من موقع الإنتاج للمسلسل.
في 30 مايو 2022، اصدرت قناة فوكس أول عرض تشويقي للمسلسل والذي من المقرر عرضه في 7 يونيو 2020.
المراجع
روابط خارجية
باللغة التركية
برامج تلفزيونية باللغة التركية
برمجة تلفزيونية
دراما تركية
مسلسلات تلفزيونية تركية انتهت في 2022
مسلسلات تلفزيونية تركية بدأ عرضها في 2022
مسلسلات تلفزيونية درامية تركية
مسلسلات تلفزيونية رومانسية تركية
مسلسلات تلفزيونية رومانسية كوميدية تركية
Ann Bryson

Ann Bryson (born 1964) is a British actress who is best known for featuring in the television series Days Like These and Spacevets, and Philadelphia cream cheese adverts with Sara Crowe, with whom she also formed the comedy duo Flaming Hamsters. Both actresses also appeared together as bank secretaries in the 1995 film The Steal.
References
External links
1964 births
English film actresses
English television actresses
Living people
منيرة عاشور

منيرة عاشور (1 نوفمبر 1971 -)، إعلامية كويتية. هي ابنة اللاعب والحكم جواد عاشور. قدمت العديد من البرامج على تلفزيون الكويت. بدأت مشوارها الإعلامي في عام 1996. وقد كان برنامجها الأسبوعي الفني «ما يطلبه المشاهدون» من أكثر البرامج مشاهدة خلال فترة عرضه في تلفزيون الكويت.
حياتها الاسرية
في منتصف عام 2014 إحتلفت - في منزلها - بزفافها من رجل الأعمال السعودي علال شمس الدين عبد الله الفاسي ، وهو نجل رئيس المجلس الأعلى الصوفي العالمي شمس الدين الفاسي، وبعد فترة رزقت بابنها البكر شمس الدين. وقد حضر حفل الزفاف عدد كبير من أهل العروسين وأصدقائهما في الكويت والخليج العربي إلى جانب مجموعة من أهل الفن ومن بينهم الفنانة حياة الفهد.
البرامج الذي قدمتها
الجوائز
جائزة أفضل برنامج إذاعي من مهرجان «المميزون في رمضان» في عام 2012 عن برنامج ليالى الغنائية.
المراجع
أشخاص على قيد الحياة
مذيعات كويتيات
مواليد 1391 هـ
مواليد 1971
The Old Straight Track

The Old Straight Track: Its Mounds, Beacons, Moats, Sites and Mark Stones is a book by Alfred Watkins, first published in 1925, describing the existence of alleged ley lines in Great Britain.
Presentation
Watkins presents a methodical and thorough exposition of his theories of ley lines, following an earlier much shorter publication, "Early British Trackways" (1922). The book has a preface, thirty chapters, four appendices and an index. There are many figures, and photographs taken by the author.
The book is considered the first book written about leys, and the first book to document and map alleged ley lines in Britain, primarily southern England. According to a review in The Geographical Journal of the Royal Geographical Society, Watkins sought to prove that "mounds, moats, beacons and markstones fall into strait tracks, i.e. sighted lines, throughout Britain, with fragmentary evidence of trackways on the alignments."
The book was disregarded by archaeologists but saw a resurgence of interest with the rise of New Age ideas in the 1960s. Watkins' ideas also influenced contemporary psychogeography, including Iain Sinclair's Lud Heat (1975), which in turn influenced Peter Ackroyd's novel Hawksmoor (1985).
Criticism
Watkins' work met with early scepticism from archaeologists, one of whom, O. G. S. Crawford, refused to accept advertisements for The Old Straight Track in the journal Antiquity.
One criticism of Watkins' ley line theory states that given the high density of historic and prehistoric sites in Britain and other parts of Europe, finding straight lines that "connect" sites is trivial and ascribable to coincidence. A statistical analysis of lines concluded: "the density of archaeological sites in the British landscape is so great that a line drawn through virtually anywhere will 'clip' a number of sites."
Reprints
The book was reprinted as on April 2, 1994 by "Abacus". Editions or reprints were published in 1925, 1933, 1945, 1948, 1970, 1974 and 1994. The Abacus edition of 1970 was reprinted up to 1999 at least, and carries a copyright dated 1970 "Allen Watkins and Marion Watkins".
See also
Alignments of random points
Earth mysteries
Nazca Lines
Position lines
Ley lines
Notes
Further reading
External links
1925 non-fiction books
Geoglyphs
Cartography by country
Ley lines
Pseudohistory
Pseudoarchaeological texts
Lisa Goldstein (actress)

Lisa Goldstein (actress)
Lisa Erin Goldstein (born July 30, 1981) is a retired American television, film and theatre actress. She is most known for her role as Millicent Huxtable on One Tree Hill.
Personal life and education
Goldstein was born on Long Island, New York and lived in London, England until the age of 4. She also lived in Pennsylvania as a child and then New York, North Carolina, California and Florida where she worked and went to school. She graduated from Hingham High School (Hingham, Massachusetts) in 1999. Afterwards, Goldstein went to Elon University (Elon, NC) where she received her BFA in Music Theatre in 2003. She then interned at B Street Theatre in Sacramento, California.
Goldstein is currently married and lives in Florida with her husband sports coordinator; Brendan Kirsch. She met him on the One Tree Hill set where he was basketball coordinator.
On January 5, 2014, Goldstein and her husband announced via Twitter that the couple are expecting their first child. On July 11, 2014, Goldstein gave birth to the couple's first child, a boy whom they named Flynn Robert Kirsch. She is now retired from acting.
Career
After college, Goldstein worked at regional theaters in several musicals, including Smokey Joe's Cafe, Victor Victoria, and Anything Goes.
In early 2007, Goldstein signed a contract with Walt Disney World in Orlando, Florida where she played Belle in Beauty and the Beast – The Musical, and Nemo, Pearl and Squirt in Finding Nemo – The Musical.
In July 2007, Goldstein was cast in The CW's popular drama series One Tree Hill as Millicent Huxtable. She was cast only for the first episode of season five. However, after seeing her performance in that episode, the writers decided to bring her character back for the remainder of the season. In season six she became a regular and was on the show until the final season.
In early 2008, Goldstein filmed an independent film Who Do You Love?, portraying Phil Chess's wife Sheva Chess. She also appeared in the music video for fellow One Tree Hill co-star Kate Voegele's song "Only Fooling Myself," which was directed by the show's creator and executive producer Mark Schwahn.
Goldstein's last acting credit was for the film Don't Know Yet before she left acting for good.
Filmography
References
External links
1981 births
21st-century American actresses
Living people
Actresses from New York (state)
American film actresses
American stage actresses
American television actresses
Elon University alumni
People from Long Island
274301 Wikipedia

274301 Wikipedia, provisional designation , is a Vestian asteroid orbiting in the inner region of the asteroid belt, approximately in diameter. It was discovered on 25 August 2008 by astronomers at the Andrushivka Astronomical Observatory in northern Ukraine. The asteroid was named after the online encyclopedia Wikipedia in January 2013.
Etymology
The decision of the Committee for Small Body Nomenclature to assign the name "Wikipedia" to the asteroid was published in the Minor Planet Circulars on 27 January 2013. The asteroid received the number . The name was proposed by Andriy Makukha, a board member of Wikimedia Ukraine. It was submitted to the Committee by the owner of the observatory, Yuri Ivashchenko. It reads:
Characteristics
Wikipedia is a member of the Vesta family, one of the most numerous asteroid families in the asteroid belt. It is located in the proximity of 21791 Mattweegman, one of the family's principal members. Vestian asteroids have a composition akin to cumulate eucrites (HED meteorites). They are thought to have originated deep within Vesta's crust, possibly from the Rheasilvia crater, a large impact crater on its southern hemisphere which formed as the result of a subcatastrophic collision. Wikipedia orbits the Sun in the inner asteroid belt at a distance of once every 3 years and 8 months (1,342 days; semi-major axis of 2.38 AU). Its orbit has an eccentricity of 0.15 and an inclination of 7° with respect to the ecliptic. The asteroid's observation arc begins almost 11 years prior to its official discovery, with its first observation being by the ODAS survey in September 1997.
Observation
The asteroid now named Wikipedia was discovered by astronomers from the Andrushivka Astronomical Observatory in Ukraine, the country's only privately owned observatory, which has discovered over 120 asteroids since 2003. It was first observed by the Andrushivka team on 25 August 2008 at 22:47 UTC. It was also observed on the next night and it received provisional designation . After it was also observed on 6 September by the Andrushivka team, the orbit of the asteroid was calculated accurately. It was shown that the asteroid was the same as and previously spotted by observatories Caussols-ODAS (France), Mount Lemmon Survey and Steward Observatory (both in Arizona, U.S.).
See also
List of minor planets
References
External links
Discovery Circumstances: Numbered Minor Planets (270001)-(275000), Minor Planet Center
Dictionary of Minor Planet Names, Google Books
274301
274301
Named minor planets
274301 Wikipedia
20080825
زينيكا

زينيكا (رسميا Zeneca Group PLC) كانت شركة بريطانية متعددة الجنسيات للأدوية مقرها في لندن، المملكة المتحدة. أسست في يونيو 1993 من خلال تفكيك الشركات الصيدلانية والكيماويات الزراعية في شركة "Imperial Chemical Industries" إلى شركة منفصلة مدرجة في بورصة لندن.
في عام 1999 اندمجت شركة زينيكا وشركة أسترا التي تتخذ من السويد مقراً لها لتشكيل أسترا زينيكا.
المصادر
آسترازينيكا
شركات أدوية انحلت في 1999
شركات أدوية في المملكة المتحدة
شركات بريطانية انحلت في 1999
شركات بريطانية أسست في 1993
شركات سابقة مقرها في لندن
شركات صناعة أدوية أسست سنة 1993
شركات متعددة الجنسيات مقرها في المملكة المتحدة
شركات متعددة الجنسيات مقرها في إنجلترا
Nova Venécia

Nova Venécia is a Brazilian municipality in the state of Espírito Santo. Its population was 50,434 (2020) and its area is 1,448 km². The seat of the municipality is at 65 meters above sea level.
Founded in 1888 with the name of Colônia de Santa Leocádia, it later became Colônia de Nova Venécia taking the new name from the Italian immigrants from the Veneto.
Notable people
Somália: Former football player
Richarlison: Football player for Tottenham Hotspur and Brazil
References
Municipalities in Espírito Santo
إلين روبنسون

إلين روبنسون (مواليد 11 مايو 1993) هي لاعبة كرة قدم سويدية تلعب في مركز خط الوسط أو المهاجم في نادي هكن.
مراجع
روابط خارجية
لاعبو كأس العالم لكرة القدم للسيدات 2023
لاعبو بطولة أمم أوروبا للسيدات 2017
أشخاص من يستاد
حائزون على ميداليات في الألعاب الأولمبية الصيفية 2016
حاصلون على ميداليات أولمبية في كرة القدم
رياضيون من محافظة اسكونه
سويديون فازوا بالميدالية الفضية الأولمبية
لاعبات كأس العالم للنساء 2015
لاعبات كرة قدم سويديات
لاعبات منتخب السويد لكرة القدم للنساء
لاعبو بطولة أمم أوروبا لكرة القدم للسيدات 2022
لاعبو دوري دامالسفينسكان لكرة القدم
لاعبو كأس العالم للسيدات 2019
لاعبو كرة قدم أولمبيون سويديون
لاعبو كرة قدم في الألعاب الأولمبية الصيفية 2016
مهاجمات كرة قدم نسائية
ياركيبولان تونغيشبايف

ياركيبولان تونغيشبايف (14 يناير 1995 بشيمكنت في كازاخستان - ) هو لاعب كرة قدم كازاخستاني في مركزي الوسط و. لعب مع نادي أورداباسي.
مراجع
وصلات خارجية
لاعبو وسط كرة قدم رجالية
أشخاص من شيمكنت
لاعبو دوري كازاخستان الممتاز
لاعبو كرة قدم كازاخستانيون
لاعبو منتخب كازاخستان لكرة القدم
لاعبو نادي أورداباسي
مواليد 1415 هـ
مواليد 1995
Eva Griffith

Eva Griffith, also credited as Eva Griffiths (born 1963), is a British actress, and a historian of the English Renaissance theatre. She began her career as child actress.
Early life
Eva Griffith was born in Knightsbridge, London, the daughter of Welsh actor Kenneth Griffith and his second wife, Doria Noar, also an actor. In some of her acting work she has been credited as Eva Griffiths, her father's original surname. She spent part of her childhood living in the home of the actor Peter O'Toole; and she later lived with her maternal grandmother in St Albans, Hertfordshire.
She was educated at More House, a private Catholic school for girls in London, paying her fees with her own earnings as an actress.
Acting
Griffith was auditioning for acting roles by the age of seven. Her first part was in the two-part television film Divorce His, Divorce Hers (1973), in which she played the daughter of characters played by Richard Burton and Elizabeth Taylor. She subsequently appeared in the horror film Voices (1973) and the TV film The Turn of the Screw (1974). She starred as the handicapped daughter of a ranch owner in the 1975 Disney film Ride a Wild Pony, set and filmed in Australia.
She later acted in stage roles, including parts in Scraps (a musical version of Hans Christian Andersen's "The Little Match Girl") at the Orange Tree Theatre, Richmond; Ibsen's The Wild Duck at the Yvonne Arnaud Theatre, Guildford, and later at the National Theatre, London; and Edward Bond's Restoration at the Royal Court Theatre (1981).
Television work included Coming Home (1981), a BBC situation comedy; a production of Arthur Miller’s The Crucible, also for the BBC; Nanny (1981–2), a BBC historical drama; Young Sherlock: The Mystery of the Manor House (1982); Shall I Be Mother? (1983), a BBC Play for Today; and The Diary of Anne Frank (1987).
Scholarship
Grffith had left school without A-levels, but in the 1990s she returned to extramural classes at Birkbeck College. She went on to study at King's College London for a BA, an MA, and eventually a PhD.
In 2013, she published A Jacobean Company and its Playhouse: The Queen’s Servants at the Red Bull Theatre (c. 1605–1619), a monograph study of the Red Bull Theatre, London, based on her doctoral thesis. She has also published a number of articles and chapters in books.
Personal life
Griffith has one son.
References
External links
1963 births
20th-century English actresses
21st-century British women writers
21st-century English actresses
21st-century English historians
Actresses from London
Alumni of Birkbeck, University of London
Alumni of King's College London
British women historians
English child actresses
English film actresses
English people of Welsh descent
English stage actresses
English television actresses
Living people
Theatrologists
People from Knightsbridge
كأس هولندا السياحية 1988

كأس هولندا السياحية 1988 هو سباق دراجات نارية أقيم بتاريخ 25 يونيو 1988 في حلبة أسن تي تي. كان الجولة الثامنة من أصل 15 في سباق الجائزة الكبرى للدراجات النارية موسم 1988. فاز الأسترالي واين غاردنر بفئة 500 سي سي بينما جاء الأمريكي إدي لوسون في المركز الثاني وحصل على المركز الثالث الفرنسي كريستيان سارون.
وصلات خارجية
رياضة هولندية في 1988
سباقات موتو جي بي في سنة 1988
كأس هولندا السياحية
رياضة محركات هولندية في 1988
دوغ ديلي

دوغ ديلي هو دراج بريطاني، ولد في 1 أبريل 1944 في ليفربول في المملكة المتحدة.
مراجع
وصلات خارجية
أبطال سباق دراجات على الطريق بريطانيون
أعضاء رتبة الإمبراطورية البريطانية
دراجون إنجليز
رياضيون من ليفربول
مواليد 1944
ستيب باك إن تايم

ستيب باك إن تايم
«ستيب باك إن تايم» أو «عد بالزمن» هي أغنية للفنانة الأسترالي كايلي مينوغ وأدخلت في ألبومها الثالث ريذم أوف لوف (1990). وكانت ثاني أغنية تؤخذ واحد من الألبوم، رغم أنه كان من المخطط إصدار أغنية «وات دو آي هاف تو دو» لتكون ثاني إصدار من الألبوم. وهي من تأليف وإنتاج فريق ستوك أيتكين واترمان، والذين أنتجوا وألفوا معظم أغاني مينوغ في ذلك الوقت. موسيقى الأغنية مستوحاة من الديسكو.
وصلت الأغنية للمركز الرابع قائمة أغاني المملكة المتحدة والمركز الخامس في وطنها الأم أستراليا. أدت كايلي الأغنية في معظم جولاتها الموسيقية، بما في ذلك جولات ريذم أوف لوف، ليتس غيت تو إت، إنتميت أند لايف، كايلي إكس 2008، كيس مي ونس، كايلي سمر 2015.
مراجع
أغان منفردة في 1990
أغاني 1990
أغاني ديسكو
أغاني فانك
أغاني كايلي مينوغ
أغان كتبها مات إيتكن