Shimshon Amitsur
Israeli mathematician
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(Suggest an Edit or Addition)According to Wikipedia, Shimshon Avraham Amitsur 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 Israel Journal of Mathematics, and the mathematical editor of the Hebrew Encyclopedia. Amitsur received a number of awards, including the honorary doctorate from Ben-Gurion University in 1990. His students included Avinoam Mann, Amitai Regev, Eliyahu Rips and Aner Shalev.
Shimshon Amitsur's Published Works
Published Works
- GENERIC SPLITTING FIELDS OF CENTRAL SIMPLE ALGEBRAS (1955) (133)
- Rational identities and applications to algebra and geometry (1966) (131)
- Finite subgroups of division rings (1955) (130)
- On central division algebras (1972) (129)
- Identities in rings with involutions (1969) (117)
- Division algebras of degree 4 and 8 with involution (1979) (107)
- Rings of quotients and Morita contexts (1971) (98)
- Radicals Of Polynomial Rings (1956) (96)
- Generalized polynomial identities and pivotal monomials (1965) (91)
- On the characteristic polynomial of a sum of matrices (1980) (89)
- A General Theory of Radicals. II. Radicals in Rings and Bicategories (1954) (84)
- Generic abelian crossed products and p-algebras (1978) (76)
- Commutative linear differential operators. (1958) (64)
- Simple algebras and cohomology groups of arbitrary fields (1959) (53)
- Prime Rings Having Polynomial Identities with Arbitrary Coefficients (1967) (52)
- The T-Ideals of the Free Ring (1955) (51)
- On the semi-simplicity of group algebras. (1959) (48)
- Rings with involution (1968) (47)
- Derivations in Simple Rings (1957) (47)
- A General Theory of Radicals. III. Applications (1954) (42)
- Groups with representations of bounded degree II (1961) (42)
- PI-algebras and their cocharacters (1982) (39)
- Kummer subfields of Malcev-Neumann division algebras (1985) (32)
- A General Theory of Radicals. I. Radicals in Complete Lattices (1952) (31)
- Jacobson - rings and hilbert algebras with polynomial identities (1966) (31)
- On Rings with Identities (1955) (28)
- Remarks on principal ideal rings (1963) (28)
- Prime ideals in PI-rings☆ (1980) (28)
- THE IDENTITIES OF PI-RINGS (1953) (27)
- Elements of reduced trace 0 (1994) (27)
- Recognition of matrix rings II (1996) (26)
- INVARIANT SUBMODULES OF SIMPLE RINGS (1956) (24)
- Homology groups and double complexes for arbitrary fields (1962) (21)
- NIL PI-RINGS (1951) (21)
- Extension of derivations to central simple algebras (1982) (20)
- Polynomials over division rings (1978) (19)
- A noncommutative Hilbert basis theorem and subrings of matrices (1970) (17)
- The generic division rings (1974) (15)
- Embeddings in matrix rings (1971) (15)
- Identities and linear dependence (1975) (14)
- Generic splitting fields (1982) (13)
- Totally ramified splitting fields of central simple algebras over Henselian fields (1986) (13)
- Polynomial identifies and Azumaya algebras (1973) (11)
- Arithmetic Linear Transformations and Abstract Prime Number Theorems (1961) (10)
- The sequence of codimensions of PI-algebras (1984) (10)
- Some results on arithmetic functions (1959) (9)
- The identities of -rings (1953) (8)
- Rings with a pivotal monomial (1958) (8)
- SOME RESULTS ON CENTRAL SIMPLE ALGEBRAS (1956) (8)
- On arithmetic functions (1956) (8)
- Algebras over infinite fields, revisited (1996) (8)
- Finite-dimensional representations of PI algebras (1990) (8)
- Prime ${\text{PI}}$-rings (1977) (8)
- On a Central Identity for Matrix Rings (1976) (7)
- A note on pi-rings (1971) (6)
- Nil Semi-Groups of Rings with a Polynomial Identity (1966) (5)
- Algebraists' homage : papers in ring theory and related topics (1982) (5)
- GK-dimensions of corners and ideals (1990) (5)
- Jacob Levitzki 1904–1956 (1974) (4)
- CENTRAL EMBEDDINGS IN SEMI-SIMPLE RINGS (1975) (4)
- Finite dimensional central division algebras (1960) (4)
- An Electrical Computer for the Solution of Linear Simultaneous Equations (1953) (3)
- Galois splitting fields of a universal division algebra (1991) (3)
- Correction to “Arithmetic Linear Transformations” (1969) (3)
- Complexes of rings (1964) (3)
- Polynomial identities (1974) (3)
- On universal embeddings in matrix rings (1973) (3)
- Finite Dimensional Representation of PI-Algebras, II (1995) (2)
- Finite-dimensional subalgebras of division rings (1996) (1)
- Ring theory 1989 : in honor of S.A. Amitsur (1989) (1)
- An Example in Central Division Algebras (1988) (1)
- Ring and radicals, by N. J. Divinsky. University of Toronto. $7.50. (1968) (0)
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