Israel Nathan Herstein | Academic Influence

Israel Nathan Herstein's AcademicInfluence.com Rankings

Israel Nathan Herstein

Mathematics

#1795

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Measure Theory

#938

Historical Rank

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Mathematics

Israel Nathan Herstein's Degrees

PhD Mathematics University of Chicago
Masters Mathematics University of Chicago
Bachelors Mathematics University of Manitoba

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Why Is Israel Nathan Herstein Influential?

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According to Wikipedia, Israel Nathan Herstein was a mathematician, appointed as professor at the University of Chicago in 1951. He worked on a variety of areas of algebra, including ring theory, with over 100 research papers and over a dozen books.

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Israel Nathan Herstein's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Topics in algebra (1964) (755)
AN AXIOMATIC APPROACH TO MEASURABLE UTILITY (1953) (701)
Topics In Ring Theory (1969) (694)
On Rings with Involution (1974) (470)
Nonnegative Square Matrices (1953) (297)
Jordan derivations of prime rings (1957) (227)
Lie ideals and derivations of prime rings (1981) (151)
Lie and Jordan structures in simple associative rings (1961) (139)
Nil Rings Satisfying Certain Chain Conditions (1964) (126)
A Note on Derivations (1978) (108)
On Recursions Connected With Symmetric Groups I (1951) (106)
On the Lie structure of an associative ring (1970) (103)
On the Lie and Jordan Rings of a Simple Associative Ring (1955) (86)
Center-like elements in prime rings (1979) (84)
A Note on Derivations II (1979) (71)
Multiplicative commutators in division rings (1978) (70)
The Structure of a Certain Class of Rings (1953) (68)
A GENERALIZATION OF A THEOREM OF JACOBSON III. (1951) (66)
The probability that a matrix be nilpotent (1958) (63)
A note on rings with central nilpotent elements (1954) (58)
Non-Negative Square Matrices (1952) (52)
Derivations with nilpotent values (1981) (48)
FINITE GROUPS ADMITTING A FIXED-POINT-FREE AUTOMORPHISM OF ORDER 4.* (1961) (47)
Power maps in rings. (1961) (44)
Conjugates in division rings (1956) (39)
Derivations with Invertible Values (1983) (39)
Lie and Jordan Systems in Simple Rings with Involution (1956) (38)
On the hypercenter of a ring (1975) (37)
Two Remarks On The Commutativity Of Rings (1955) (37)
A remark on finite groups (1958) (36)
Algebraic valued functions on noncommutative rings (1975) (34)
A commutativity theorem (1976) (33)
Noncommutative Rings: SEMISIMPLE RINGS (1968) (30)
Finite multiplicative subgroups in division rings (1953) (29)
A COUNTEREXAMPLE IN NOETHERIAN RINGS. (1965) (28)
A Condition for the Commutativity of Rings (1957) (27)
Invertible and regular elements in rings with involution (1973) (21)
A Class of Solvable Groups (1959) (19)
Special simple rings with involution (1967) (19)
A note on division rings with involutions. (1971) (19)
Multiplicative commutators in division rings II (1980) (18)
A remark on rings and algebras. (1963) (18)
Generalized Commutative Rings (1966) (18)
Centralizers in rings (1975) (15)
Wedderburn's Theorem and a Theorem of Jacobson (1961) (15)
A Theorem on Derivations of Prime Rings with Involution (1981) (15)
Invariant subrings of a certain kind (1977) (14)
The Lie ring of a simple associative ring (1955) (14)
A condition that a derivation be inner (1988) (13)
Subnormal Subgroups of Division Rings (1963) (13)
A Theorem on invariant subrings (1983) (12)
On the Lie Ring of a Division Ring (1954) (11)
An extension of a theorem of Schur (1975) (11)
Lie mappings in characteristic 2 (1960) (11)
On rings with a particular variable identity (1980) (10)
A Theorem on Rings (1953) (10)
Matrix theory and linear algebra / I.N. Herstein, David J. Winter (1989) (10)
The algebraic hypercenter and some applications (1983) (10)
Semi-Homomorphisms of Groups (1968) (10)
An elementary proof of a theorem of Jacobson (1954) (10)
Elementary Problems: E3039-E3040 (1984) (10)
Regular elements in P.I.-rings (1971) (9)
Certain submodules of simple rings with involution (1957) (9)
A Theorem Concerning Three Fields (1955) (8)
Semi-automorphisms of groups (1958) (8)
A proof of a conjecture of Vandiver (1950) (8)
A Note on the Automorphism Group of a Finite Group (1952) (7)
Certain Submodules of Simple Rings with Involution, II (1975) (7)
On the Schur subgroup of the Brauer group (1972) (7)
A theorem on left Noetherian rings (1966) (7)
On the Ph.D. in Mathematics (1969) (7)
Some comments on prime rings (1979) (7)
ON THE LIE RING OF A SIMPLE RING. (1954) (7)
The intersection of the powers of the radical in Noetherian P.I. rings (1973) (6)
Nil Rings Satisfying Certain Chain Conditions: An Addendum (1966) (6)
Structure of a Certain Class of Rings with Involution (1975) (6)
Book Review: Nathan Jacobson, Lectures in abstract algebra, Vol. III, Theory of fields and Galois theory (1967) (6)
A unitary version of the Brauer-Cartan-Hua Theorem (1974) (6)
Rings admitting certain automorphisms (1962) (5)
Generalized commutators in rings (1954) (5)
Rings with periodic symmetric or skew elements (1974) (5)
Some mathematical methods and techniques in economics (1953) (5)
Rings with a Special Kind of Automorphism (1983) (5)
A NOTE ON PRIMITIVE MATRICES (1954) (5)
Rings of quotients of group algebras (1971) (4)
On a theorem of Putnam and Wintner (1958) (4)
On a theorem of Brauer-Cartan-Hua type (1975) (3)
On a Result of Faith (1975) (3)
On the structure of certain factorizable groups. II (1959) (3)
A Remark on Finite Fields (1987) (3)
Rings radical over P.I. subrings (1978) (3)
A Nil-Nilpotent Type of Theorem (1986) (3)
Certain aspects of rings with involution (1967) (2)
Advanced Problems: 5795-5801 (1971) (2)
A Note on Division Algebras (1972) (2)
Mathematics vs. Numerical Analysis. (1965) (1)
A Lie algebra variation on a theorem of Wedderburn (1991) (1)
Some results on annihilation in algebras (1983) (1)
A Theorem of Levitzki (1962) (1)
Topics in algebra / I. N. Herstein (1975) (1)
On Kolchin's Theorem. (1986) (1)
Comments on Solow's "Structure of Linear Models" (1952) (1)
Advanced Problems: 6322-6325 (1980) (1)
A note on a commutativity theorem (1953) (1)
Review: William J. Gilbert, Modern algebra with applications (1977) (0)
Evaluation: Final Examination 60% Two Midterm Tests (15% Each) 30% Homework 10% (0)
Commuting skew elements in rings with involution (1976) (0)
Mathematics vs. Numerical Analysis (1965) (0)
On a conjecture on simple groups (1950) (0)
THE JACOBSON RADICAL (1968) (0)
Noncommutative Rings: GOLDIE'S THEOREM (1968) (0)
Problems for Solution: 4929-4934 (1960) (0)
A nil-implies-nilpotent result in linearly compact rings (1994) (0)
Rings with commuting projections (1981) (0)
Problems for Solution: E936-E940 (1950) (0)
Review: Oscar Zariski and Pierre Samuel, Commutative algebra, Vol. 1 (1959) (0)
Advanced Problems: 5832-5837 (1972) (0)
Problems for Solution: 4933, 4953-4958 (1961) (0)
A theorem of Levitszki (1962) (0)
Journal of Algebra Algebra Editor-in-chief: Graham Higman Contents of Volume 70 (0)

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