Cyrus Colton MacDuffee
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Cyrus Colton MacDuffee
Cyrus Colton MacDuffee (June 29, 1895 – August 21, 1961) from Oneida, New York was a professor of mathematics at University of Wisconsin. He wrote a number of influential research papers in abstract algebra. MacDuffee served on the Council of the American Mathematical Society (A.M.S.), was editor of the '' Transactions of the A.M.S.'', and served as president of the Mathematical Association of America (M.A.A). MacDuffee obtained his B.S. degree in 1917 from Colgate University and a Ph.D. in 1922 from the University of Chicago ; his thesis was on Nonassociative algebras under the direction of Leonard E. Dickson. In 1935, MacDuffee joined the University of Wisconsin, where he remained until his death in 1961. He served as chair of the department (1951–56). Later, Wisconsin endowed a university chair under his name. Prior to joining the University of Wisconsin, he served at Princeton and Ohio State. He guided 30 Ph.D. students, among them D. R. Fulkerson, H. J. Ryser, and Bonnie ...
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Oneida, New York
Oneida (, one, kanaˀalóhaleˀ) is a city in Madison County located west of Oneida Castle (in Oneida County) and east of Wampsville, New York, United States. The population was 11,390 at the 2010 census. The city, like both Oneida County and the nearby silver and china maker, was named for the Oneida tribe, which had a large territory here around Oneida Lake during the colonial period. History This area was part of the territory of the Oneida tribe during the colonial era. The Oneida were one of the original Five Nations of the Iroquois League and many Oneida were allies of the Americans during the Revolutionary War, although the Onondaga, Cayuga, Seneca and Mohawk tribes led by Mohawk Chief Joseph Brant, who fought for the British out of Niagara, decimated several isolated American settlements. Returning to their homes after the Revolution, the Oneida men who served and supported the American effort were compensated by the U.S. government for their losses and took in r ...
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Corvallis, Oregon
Corvallis ( ) is a city and the county seat of Benton County in central western Oregon, United States. It is the principal city of the Corvallis, Oregon Metropolitan Statistical Area, which encompasses all of Benton County. As of the 2020 United States Census, the population was 59,922. Corvallis is the location of Oregon State University and Good Samaritan Regional Medical Center. Corvallis is the westernmost city in the contiguous 48 states with a population larger than 50,000. History Establishment In October 1845, Joseph C. Avery arrived in Oregon from the east.David D. Fagan''History of Benton County, Oregon: Including... a Full Political History, ...Incidents of Pioneer Life, and Biographical Sketches of Early and Prominent Citizens...''Portland, OR: A.G. Walling, Printer, 1885; pg. 422. Note that a clear typographical error in the original source has Avery's date of arrival as "October 1846", but beginning of his residence in "June 1846." Avery took out a land claim a ...
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Presidents Of The Mathematical Association Of America
President most commonly refers to: *President (corporate title) *President (education), a leader of a college or university *President (government title) President may also refer to: Automobiles * Nissan President, a 1966–2010 Japanese full-size sedan * Studebaker President, a 1926–1942 American full-size sedan * VinFast President, a 2020–present Vietnamese mid-size SUV Film and television *'' Præsidenten'', a 1919 Danish silent film directed by Carl Theodor Dreyer * ''The President'' (1928 film), a German silent drama * ''President'' (1937 film), an Indian film * ''The President'' (1961 film) * ''The Presidents'' (film), a 2005 documentary * ''The President'' (2014 film) * ''The President'' (South Korean TV series), a 2010 South Korean television series * ''The President'' (Palestinian TV series), a 2013 Palestinian reality television show *''The President Show'', a 2017 Comedy Central political satirical parody sitcom Music *The Presidents (American soul band) *The ...
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Ohio State University Faculty
Faculty may refer to: * Faculty (academic staff), the academic staff of a university (North American usage) * Faculty (division), a division within a university (usage outside of the United States) * Faculty (instrument), an instrument or warrant in canon law, especially a judicial or quasi-judicial warrant from an ecclesiastical court or tribunal * Faculty (company), a British artificial intelligence company * Aspects of intelligence ("cognitive faculties") * Senses of sight, hearing, touch, etc. ("perceptive faculties") * ''The Faculty'', a 1998 horror/sci-fi movie by Robert Rodriguez * The Faculty (TV series), ''The Faculty'' (TV series), a 1996 American sitcom * The rights of a priest to celebrate or perform various liturgical functions {{disambiguation ...
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University Of Wisconsin–Madison Faculty
A university () is an institution of higher (or tertiary) education and research which awards academic degrees in several academic disciplines. Universities typically offer both undergraduate and postgraduate programs. In the United States, the designation is reserved for colleges that have a graduate school. The word ''university'' is derived from the Latin ''universitas magistrorum et scholarium'', which roughly means "community of teachers and scholars". The first universities were created in Europe by Catholic Church monks. The University of Bologna (''Università di Bologna''), founded in 1088, is the first university in the sense of: *Being a high degree-awarding institute. *Having independence from the ecclesiastic schools, although conducted by both clergy and non-clergy. *Using the word ''universitas'' (which was coined at its foundation). *Issuing secular and non-secular degrees: grammar, rhetoric, logic, theology, canon law, notarial law.Hunt Janin: "The university i ...
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Colgate University Alumni
Colgate may refer to: Places *Colgate, North Dakota, US *Colgate, Wisconsin, US *Colgate, West Sussex, England, UK *Colgate, Saskatchewan, Canada Other *Colgate (name) *Colgate (toothpaste), a product of Colgate-Palmolive *Colgate-Palmolive, a corporation *''The Colgate Comedy Hour'', an American musical variety television show sponsored by Colgate-Palmolive *Colgate Clock (Indiana), an octagonal clock in Clarksville, Indiana *Colgate Clock (Jersey City), an octagonal clock in Jersey City, New Jersey *Colgate University Colgate University is a private liberal arts college in Hamilton, New York. The college was founded in 1819 as the Baptist Education Society of the State of New York and operated under that name until 1823, when it was renamed Hamilton Theologi ..., a private liberal arts college in Madison County, New York * Colgate (pony), a character in My Little Pony See also * Coalgate (other) * Colgate Clock (other) * Colegate {{disambiguation ...
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University Of Chicago Alumni
A university () is an institution of higher (or tertiary) education and research which awards academic degrees in several academic disciplines. Universities typically offer both undergraduate and postgraduate programs. In the United States, the designation is reserved for colleges that have a graduate school. The word ''university'' is derived from the Latin ''universitas magistrorum et scholarium'', which roughly means "community of teachers and scholars". The first universities were created in Europe by Catholic Church monks. The University of Bologna (''Università di Bologna''), founded in 1088, is the first university in the sense of: *Being a high degree-awarding institute. *Having independence from the ecclesiastic schools, although conducted by both clergy and non-clergy. *Using the word ''universitas'' (which was coined at its foundation). *Issuing secular and non-secular degrees: grammar, rhetoric, logic, theology, canon law, notarial law.Hunt Janin: "The university ...
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1961 Deaths
Events January * January 3 ** United States President Dwight D. Eisenhower announces that the United States has severed diplomatic and consular relations with Cuba (Cuba–United States relations are restored in 2015). ** Aero Flight 311 (Koivulahti air disaster): Douglas DC-3C OH-LCC of Finnish airline Finnair, Aero crashes near Kvevlax (Koivulahti), on approach to Vaasa Airport in Finland, killing all 25 on board, due to pilot error: an investigation finds that the Captain (civil aviation), captain and First officer (civil aviation), first officer were both exhausted for lack of sleep, and had consumed excessive amounts of alcohol at the time of the crash. It remains the deadliest air disaster to occur in the country. * January 5 ** Italian sculptor Alfredo Fioravanti marches into the U.S. Consulate in Rome, and confesses that he was part of the team that forged the Etruscan terracotta warriors in the Metropolitan Museum of Art. ** After the 1960 Turkish coup d'état, 1960 ...
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1895 Births
Events January–March * January 5 – Dreyfus affair: French officer Alfred Dreyfus is stripped of his army rank, and sentenced to life imprisonment on Devil's Island. * January 12 – The National Trust for Places of Historic Interest or Natural Beauty is founded in England by Octavia Hill, Robert Hunter and Canon Hardwicke Rawnsley. * January 13 – First Italo-Ethiopian War: Battle of Coatit – Italian forces defeat the Ethiopians. * January 17 – Félix Faure is elected President of the French Republic, after the resignation of Jean Casimir-Perier. * February 9 – Mintonette, later known as volleyball, is created by William G. Morgan at Holyoke, Massachusetts. * February 11 – The lowest ever UK temperature of is recorded at Braemar, in Aberdeenshire. This record is equalled in 1982, and again in 1995. * February 14 – Oscar Wilde's last play, the comedy ''The Importance of Being Earnest'', is first shown at St Jam ...
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Latimer–MacDuffee Theorem
The Latimer–MacDuffee theorem is a theorem in abstract algebra, a branch of mathematics. It is named after Claiborne Latimer and Cyrus Colton MacDuffee, who published it in 1933. Significant contributions to its theory were made later by Olga Taussky-Todd.. Let f be a monic, irreducible polynomial of degree n. The Latimer–MacDuffee theorem gives a one-to-one correspondence between \mathbb- similarity classes of n\times n matrices with characteristic polynomial f and the ideal classes in the order :\mathbb (f(x)). where ideals are considered equivalent if they are equal up to an overall (nonzero) rational scalar multiple. (Note that this order need not be the full ring of integers, so nonzero ideals need not be invertible.) Since an order in a number field has only finitely many ideal classes (even if it is not the maximal order, and we mean here ideals classes for all nonzero ideals, not just the invertible ones), it follows that there are only finitely many conjugacy cla ...
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