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Abraham Seidenberg
Abraham Seidenberg (June 2, 1916 – May 3, 1988) was an American mathematician. Early life Seidenberg was born on June 2, 1916 to Harry and Fannie Seidenberg in Washington D.C. He graduated with a B.A. from the University of Maryland in 1937. He completed his Ph.D. in mathematics from Johns Hopkins University in 1943. His Ph.D. thesis, written under the direction of Oscar Zariski, was on ''Valuation Ideals in Rings of Polynomials in Two Variables''. Academic career Seidenberg became an instructor in mathematics at the University of California, Berkeley in 1945. He reached the rank of full professor in 1958. He retired from Berkeley in 1987. Contributions Seidenberg was known for his research in commutative algebra, algebraic geometry, differential algebra, and the history of mathematics. He published ''Prime ideals and integral dependence'' written jointly with Irvin Cohen, which greatly simplified the existing proofs of the going-up and going-down theorems of ideal theor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Washington D
Washington commonly refers to: * Washington (state), United States * Washington, D.C., the capital of the United States ** A metonym for the federal government of the United States ** Washington metropolitan area, the metropolitan area centered on Washington, D.C. * George Washington (1732–1799), the first president of the United States Washington may also refer to: Places England * Washington, Tyne and Wear, a town in the City of Sunderland metropolitan borough ** Washington Old Hall, ancestral home of the family of George Washington * Washington, West Sussex, a village and civil parish Greenland * Cape Washington, Greenland * Washington Land Philippines *New Washington, Aklan, a municipality *Washington, a barangay in Catarman, Northern Samar *Washington, a barangay in Escalante, Negros Occidental *Washington, a barangay in San Jacinto, Masbate *Washington, a barangay in Surigao City United States * Washington, Wisconsin (other) * Fort Washington (disambiguatio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
History Of Mathematics
The history of mathematics deals with the origin of discoveries in mathematics and the mathematical methods and notation of the past. Before the modern age and the worldwide spread of knowledge, written examples of new mathematical developments have come to light only in a few locales. From 3000 BC the Mesopotamian states of Sumer, Akkad and Assyria, followed closely by Ancient Egypt and the Levantine state of Ebla began using arithmetic, algebra and geometry for purposes of taxation, commerce, trade and also in the patterns in nature, the field of astronomy and to record time and formulate calendars. The earliest mathematical texts available are from Mesopotamia and Egypt – '' Plimpton 322'' ( Babylonian c. 2000 – 1900 BC), the ''Rhind Mathematical Papyrus'' ( Egyptian c. 1800 BC) and the '' Moscow Mathematical Papyrus'' (Egyptian c. 1890 BC). All of these texts mention the so-called Pythagorean triples, so, by inference, the Pythagorean theorem seems to be the most anci ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of California, Berkeley 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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Johns Hopkins University Alumni
Johns may refer to: Places * Johns, Mississippi, an unincorporated community * Johns, Oklahoma, United States, a community * Johns Creek (Chattahoochee River), Georgia, United States * Johns Island (other), islands in Canada and the United States * Johns Mountain, a summit in Georgia * Johns River (other) * Johns River (Vermont), a tributary of Lake Memphremagog * Johns Township, Appanoose County, Iowa, United States Other uses * Johns (surname) * Johns Hopkins (1795–1873), American entrepreneur, investor and philanthropist * ''johns'' (film), a 1996 film starring David Arquette and Lukas Haas See also * John (other) * Justice Johns (other) * {{disambig, geo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Historians Of Mathematics
American(s) may refer to: * American, something of, from, or related to the United States of America, commonly known as the "United States" or "America" ** Americans, citizens and nationals of the United States of America ** American ancestry, people who self-identify their ancestry as "American" ** American English, the set of varieties of the English language native to the United States ** Native Americans in the United States, indigenous peoples of the United States * American, something of, from, or related to the Americas, also known as "America" ** Indigenous peoples of the Americas * American (word), for analysis and history of the meanings in various contexts Organizations * American Airlines, U.S.-based airline headquartered in Fort Worth, Texas * American Athletic Conference, an American college athletic conference * American Recordings (record label), a record label previously known as Def American * American University, in Washington, D.C. Sports teams Soccer * B ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1988 Deaths
File:1988 Events Collage.png, From left, clockwise: The oil platform Piper Alpha explodes and collapses in the North Sea, killing 165 workers; The USS Vincennes (CG-49) mistakenly shoots down Iran Air Flight 655; Australia celebrates its Bicentennial on January 26; The 1988 Summer Olympics are held in Seoul, South Korea; Soviet troops begin their withdrawal from Afghanistan, which is completed the next year; The 1988 Armenian earthquake kills between 25,000-50,000 people; The 8888 Uprising in Myanmar, led by students, protests the Burma Socialist Programme Party; A bomb explodes on Pan Am Flight 103, causing the plane to crash down on the town of Lockerbie, Scotland- the event kills 270 people., 300x300px, thumb rect 0 0 200 200 Piper Alpha rect 200 0 400 200 Iran Air Flight 655 rect 400 0 600 200 Australian Bicentenary rect 0 200 300 400 Pan Am Flight 103 rect 300 200 600 400 1988 Summer Olympics rect 0 400 200 600 8888 Uprising rect 200 400 400 600 1988 Armenian ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1916 Births
Events Below, the events of the First World War have the "WWI" prefix. January * January 1 – The British Empire, British Royal Army Medical Corps carries out the first successful blood transfusion, using blood that had been stored and cooled. * January 9 – WWI: Gallipoli Campaign: The last British troops are evacuated from Gallipoli, as the Ottoman Empire prevails over a joint British and French operation to capture Constantinople. * January 10 – WWI: Erzurum Offensive: Russia defeats the Ottoman Empire. * January 12 – The Gilbert and Ellice Islands Colony, part of the British Empire, is established in present-day Tuvalu and Kiribati. * January 13 – WWI: Battle of Wadi (1916), Battle of Wadi: Ottoman Empire forces defeat the British, during the Mesopotamian campaign in modern-day Iraq. * January 29 – WWI: Paris is bombed by German Empire, German zeppelins. * January 31 – WWI: An attack is planned on Verdun, France. February * ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Milan
The University of Milan ( it, Università degli Studi di Milano; la, Universitas Studiorum Mediolanensis), known colloquially as UniMi or Statale, is a public research university in Milan, Italy. It is one of the largest universities in Europe, with about 60,000 students, and a permanent teaching and research staff of about 2,000. The University of Milan has ten schools and offers 140 undergraduate and graduate degree programmes, 32 Doctoral Schools and 65+ Specialization Schools. The University's research and teaching activities have grown over the years and have received important international recognitions. The University is the only Italian member of the League of European Research Universities (LERU), a group of twenty-one research-intensive European Universities. It consistently ranks as first university in Italy ( ARWU) sharing the place with University of Pisa and Sapienza University of Rome, and is also one of the best universities of Italy, both overall and in specif ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Going Up And Going Down
In commutative algebra, a branch of mathematics, going up and going down are terms which refer to certain properties of chains of prime ideals in integral extensions. The phrase going up refers to the case when a chain can be extended by "upward inclusion", while going down refers to the case when a chain can be extended by "downward inclusion". The major results are the Cohen–Seidenberg theorems, which were proved by Irvin S. Cohen and Abraham Seidenberg. These are known as the going-up and going-down theorems. Going up and going down Let ''A'' ⊆ ''B'' be an extension of commutative rings. The going-up and going-down theorems give sufficient conditions for a chain of prime ideals in ''B'', each member of which lies over members of a longer chain of prime ideals in ''A'', to be able to be extended to the length of the chain of prime ideals in ''A''. Lying over and incomparability First, we fix some terminology. If \mathfrak and \mathfrak are prime ideals of '' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Irvin Cohen
Irvin Sol Cohen (1917 – February 14, 1955) was an American mathematician at the Massachusetts Institute of Technology who worked on local rings. He was a student of Oscar Zariski at Johns Hopkins University. In his thesis he proved the Cohen structure theorem for complete Noetherian local rings. In 1946 he proved the unmixedness theorem for power series rings. As a result, Cohen–Macaulay rings are named after him and Francis Sowerby Macaulay. Cohen and Abraham Seidenberg published their Cohen–Seidenberg theorems, also known as the going-up and going-down theorems. He also coauthored articles with Irving Kaplansky Irving Kaplansky (March 22, 1917 – June 25, 2006) was a mathematician, college professor, author, and amateur musician.O'Connor, John J.; Robertson, Edmund F., "Irving Kaplansky", MacTutor History of Mathematics archive, University of St Andr .... One of his doctoral students was R. Duncan Luce. Death Cohen died unexpectedly in 1955 one week after hav ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Differential Algebra
In mathematics, differential rings, differential fields, and differential algebras are rings, fields, and algebras equipped with finitely many derivations, which are unary functions that are linear and satisfy the Leibniz product rule. A natural example of a differential field is the field of rational functions in one variable over the complex numbers, \mathbb(t), where the derivation is differentiation with respect to t. Differential algebra refers also to the area of mathematics consisting in the study of these algebraic objects and their use in the algebraic study of differential equations. Differential algebra was introduced by Joseph Ritt in 1950. Open problems The biggest open problems in the field include the Kolchin Catenary Conjecture, the Ritt Problem, and The Jacobi Bound Problem. All of these deal with the structure of differential ideals in differential rings. Differential ring A ''differential ring'' is a ring R equipped with one or more ''derivations'', whi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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