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Amitsur
Shimshon Avraham Amitsur (born Kaplan; he, שמשון אברהם עמיצור; August 26, 1921 – September 5, 1994) was an Israeli mathematician. He is best known for his work in ring theory, in particular PI rings, an area of abstract algebra. Biography Amitsur was born in Jerusalem and studied at the Hebrew University under the supervision of Jacob Levitzki. His studies were repeatedly interrupted, first by World War II and then by the 1948 Arab–Israeli War. He received his M.Sc. degree in 1946, and his Ph.D. in 1950. Later, for his joint work with Levitzki, he received the first Israel Prize in Exact Sciences. He worked at the Hebrew University until his retirement in 1989. Amitsur was a visiting scholar at the Institute for Advanced Study from 1952 to 1954. He was an Invited Speaker at the ICM in 1970 in Nice. He was a member of the Israel Academy of Sciences, where he was the Head for Experimental Science Section. He was one of the founding editors of the ''Israe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Amitsur–Levitzki Theorem
In algebra, the Amitsur–Levitzki theorem states that the algebra of ''n'' × ''n'' matrices over a commutative ring satisfies a certain identity of degree 2''n''. It was proved by . In particular matrix rings are polynomial identity rings such that the smallest identity they satisfy has degree exactly 2''n''. Statement The standard polynomial of degree ''n'' is :S_n(x_1,\dots,x_n) = \sum_\text(\sigma)x_ \cdots x_ in non-commuting variables ''x''1, ..., ''x''''n'', where the sum is taken over all ''n''! elements of the symmetric group ''S''''n''. The Amitsur–Levitzki theorem states that for ''n'' × ''n'' matrices ''A''1, ..., ''A''2''n'' whose entries are taken from a commutative ring then :S_(A_1,\dots,A_) = 0. Proofs gave the first proof. deduced the Amitsur–Levitzki theorem from the Koszul–Samelson theorem about primitive cohomology of Lie algebra In mathematics, a Lie algebra (pronounced ) is a vector space \mathfrak g toge ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Jacob Levitzki
Jacob Levitzki, also known as Yaakov Levitsky ( he, יעקב לויצקי) (17 August 1904 - 25 February 1956) was an Israeli mathematician. Biography Levitzki was born in 1904 in the Russian Empire and emigrated to then Ottoman-ruled Palestine in 1912. After completing his studies at the Herzliya Gymnasia, he travelled to Germany and, in 1929, obtained a doctorate in mathematics from the University of Göttingen under the supervision of Emmy Noether. In 1931, after two years at Yale University, in New Haven, Connecticut, Levitzki returned to Palestine to join the faculty at the Hebrew University of Jerusalem. Awards Levitzki together with Shimshon Amitsur, who had been one of his students at the Hebrew University, were each awarded the Israel Prize in exact sciences in 1953, the inaugural year of the prize, for their work on the laws of noncommutative rings. Levitzki's son Alexander Levitzki, a recipient of the Israel Prize in 1990, in life sciences, established the Levit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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List Of Israel Prize Recipients
This is a complete list of recipients of the Israel Prize from the inception of the Prize in 1953 through to 2022. List For each year, the recipients are, in most instances, listed in the order in which they appear on the official Israel Prize website. Note: The table can be sorted chronologically (default), alphabetically or by field utilizing the icon. See also *List of Israeli Nobel laureates Since 1966, thirteen Israelis have been awarded the Nobel Prize, the most honorable award in various fields including chemistry, economics, literature and peace. Israel has more Nobel Prizes per capita than the United States, France and Germany ... References External links * Listat the Jewish Virtual Library {{DEFAULTSORT:List Of Israel Prize Recipients Israel Prize winners Israel Prize winners de:Israel-Preis#Die Preisträger ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Aner Shalev
Aner Shalev (born 24 January 1958) is a professor at the Einstein Institute of Mathematics at the Hebrew University of Jerusalem, and a writer. Biography Shalev was born in Kibbutz Kinneret and grew up in Beit Berl. He moved to Jerusalem at 18 to study mathematics and philosophy at the Hebrew University, and since then, excluding some years abroad, he has been living mainly in Jerusalem. Shalev received his Ph.D. in mathematics at the Hebrew University in 1989, summa cum laude. His doctoral thesis was written under the supervision of Professors Amitsur and Mann and dealt with group rings, an area combining group theory and ring theory. Shalev spent his post-doctoral period at Oxford University and at the University of London, returned to Israel in 1992, when he was hired as a senior lecturer at the Hebrew University. Shalev was appointed full professor in 1996, and spent sabbaticals at the Universities of Chicago, Oxford (All Souls College), and London (Imperial College). He ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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PI Ring
In ring theory, a branch of mathematics, a ring ''R'' is a polynomial identity ring if there is, for some ''N'' > 0, an element ''P'' ≠ 0 of the free algebra, Z, over the ring of integers in ''N'' variables ''X''1, ''X''2, ..., ''X''''N'' such that :P(r_1, r_2, \ldots, r_N) = 0 for all ''N''- tuples ''r''1, ''r''2, ..., ''r''''N'' taken from ''R''. Strictly the ''X''''i'' here are "non-commuting indeterminates", and so "polynomial identity" is a slight abuse of language, since "polynomial" here stands for what is usually called a "non-commutative polynomial". The abbreviation PI-ring is common. More generally, the free algebra over any ring ''S'' may be used, and gives the concept of PI-algebra. If the degree of the polynomial ''P'' is defined in the usual way, the polynomial ''P'' is called monic if at least one of its terms of highest degree has coefficient equal to 1. Every commutative ring is a PI-ring, satisfying the polynomial identity ''XY'' − ''YX'' = 0. Therefore ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Amitai Regev
Amitai Regev (born December 7, 1940) is an Israeli mathematician, known for his work in ring theory. He is the Herman P. Taubman Professor of Mathematics at the Weizmann Institute of Science. He received his doctorate from the Hebrew University of Jerusalem in 1972, under the direction of Shimshon Amitsur. Regev has made significant contributions to the theory of polynomial identity rings (PI rings). In particular, he proved Regev's theorem that the tensor product of two PI rings is again a PI ring. He developed so-called "Regev theory" that connects PI rings to representations of the symmetric group, and hence to Young tableaux. He has made seminal contributions to the asymptotic enumeration of Young tableaux and tableaux of hook shape, and together with William Beckner proved the Macdonald-Selberg conjecture for the infinite Lie algebras In mathematics, a Lie algebra (pronounced ) is a vector space \mathfrak g together with an operation called the Lie bracket, an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Eliyahu Rips
Eliyahu Rips ( he, אליהו ריפס; russian: Илья Рипс; lv, Iļja Ripss; born 12 December 1948) is an Israeli mathematician of Latvian origin known for his research in geometric group theory. He became known to the general public following his co-authoring a paper on what is popularly known as Bible code, the supposed coded messaging in the Hebrew text of the Torah. Biography Ilya (Eliyahu) Rips grew up in Latvia (then part of the Soviet Union). His mother was Jewish and from Riga, the only of nine siblings that survived the war; the others were killed in Rumbula and other places. His father Aaron was a Jewish mathematician from Belarus; his wife, children, and all of his relatives were killed during the Holocaust. Rips was the first high school student from Latvia to participate in the International Mathematical Olympiad. In January 1969, he learnt from listening to Western radio broadcast — then illegal in the USSR — of the self-immolation of Czechoslovak st ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Israel Academy Of Sciences And Humanities
Israel Academy of Sciences and Humanities, based in Jerusalem, was established in 1961 by the State of Israel to foster contact between Israeli scholars in the sciences and humanities and create a think tank for advising the government on research projects of national importance. Its members include many of Israel's most distinguished scholars. The offices of the Israel Academy of Sciences and Humanities are located next door to the official residence of the President of Israel and the Council for Higher Education in Israel in Albert Einstein Square in Jerusalem. In the sciences, the Academy funds projects on the geology, flora, and fauna of Israel, and facilitates the participation of Israeli scientists in research at international projects, such as high-energy physics at CERN and synchrotron radiation at the European Synchrotron Radiation Facility. Israel has the highest concentration of scientists and engineers in the world. [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Israel Prize
The Israel Prize ( he, פרס ישראל; ''pras israél'') is an award bestowed by the State of Israel, and regarded as the state's highest cultural honor. History The Israel Prize is awarded annually, on Israeli Independence Day, in a state ceremony in Jerusalem, in the presence of the President, the Prime Minister, the Speaker of the Knesset (Israel's legislature), and the Supreme Court President. The prize was established in 1953 at the initiative of the Minister of Education Ben-Zion Dinor, who himself went on to win the prize in 1958 and 1973. Awarding the prize The prize is awarded in the following four areas, with the precise subfields changing from year to year in a cycle of 4 to 7 years, except for the last area, which is awarded annually: * the humanities, social sciences, and Jewish studies * life and exact sciences * culture, arts, communication and sports * lifetime achievement and exceptional contribution to the nation (since 1972) The recipients of the priz ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Encyclopaedia Hebraica
The ''Encyclopaedia Hebraica'' ( he, האנציקלופדיה העברית) is a comprehensive encyclopedia in the Hebrew language that was published in the latter half of the 20th century.ha-Entsiklopediyah ha-ʻivrit (האנציקלופדיה העברית) / ''Encyclopaedia Hebraica''. (1949). Tel Aviv: Encyclopaedia Publishing Company History The ''General Encyclopedia'' had been successfully printed by Bracha Peli's printing business under the editorship of Prof. Joseph Klausner. Bracha Peli's son, Alexander was keen to start a more ambitious encyclopedia in Hebrew.Bracha Peli Asher Weill, Jewish Women's Archive. accessed October 2009 The idea of the ''Encyclopaedia Hebraica'' began to take material form in the summer of 1944. An advisory committee was established to determine the goals of the encyclopedia. Prin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Honorary Degree
An honorary degree is an academic degree for which a university (or other degree-awarding institution) has waived all of the usual requirements. It is also known by the Latin phrases ''honoris causa'' ("for the sake of the honour") or '' ad honorem '' ("to the honour"). The degree is typically a doctorate or, less commonly, a master's degree, and may be awarded to someone who has no prior connection with the academic institution or no previous postsecondary education. An example of identifying a recipient of this award is as follows: Doctorate in Business Administration (''Hon. Causa''). The degree is often conferred as a way of honouring a distinguished visitor's contributions to a specific field or to society in general. It is sometimes recommended that such degrees be listed in one's curriculum vitae (CV) as an award, and not in the education section. With regard to the use of this honorific, the policies of institutions of higher education generally ask that recipient ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Ben-Gurion University
Ben-Gurion University of the Negev (BGU) ( he, אוניברסיטת בן-גוריון בנגב, ''Universitat Ben-Guriyon baNegev'') is a public research university in Beersheba, Israel. Ben-Gurion University of the Negev has five campuses: the Marcus Family Campus, Beer Sheva; the David Bergmann Campus, Beer Sheva; the David Tuviyahu Campus, Beer Sheva; the Sede Boqer Campus, and Eilat Campus. Ben-Gurion University has about 20,000 students. Some of its research institutes include the National Institute for Biotechnology in the Negev, the Ilse Katz Institute for Nanoscale Science and Technology, the Jacob Blaustein Institutes for Desert Research with the Albert Katz International School for Desert Studies, and the Ben-Gurion Research Institute for the Study of Israel and Zionism. History Ben-Gurion University was established in 1969 as the University of the Negev with the aim of promoting the development of the Negev desert that comprises more than sixty percent of Israel. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |