Nathan Jacobson | Academic Influence

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According to Wikipedia, Nathan Jacobson was an American mathematician. Biography Born Nachman Arbiser in Warsaw, Jacobson emigrated to America with his family in 1918. He graduated from the University of Alabama in 1930 and was awarded a doctorate in mathematics from Princeton University in 1934. While working on his thesis, Non-commutative polynomials and cyclic algebras, he was advised by Joseph Wedderburn.

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Nathan Jacobson'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 Papers

Structure of rings (1956) (1354)
Basic Algebra I (1976) (1193)
Lectures In Abstract Algebra (1951) (1048)
Basic Algebra II (1989) (1048)
Structure and Representations of Jordan Algebras (1968) (1021)
Theory of rings (1943) (395)
Finite-dimensional division algebras over fields (1996) (264)
Jordan homomorphisms of rings (1950) (226)
Pi-algebras: an Introduction (1975) (211)
Composition algebras and their automorphisms (1958) (196)
Structure Theory for Algebraic Algebras of Bounded Degree (1945) (185)
The Radical and Semi-Simplicity for Arbitrary Rings (1945) (177)
A note on automorphisms and derivations of Lie algebras (1955) (161)
Lie and Jordan Triple Systems (1949) (150)
Structure theory of Jordan algebras (1981) (129)
Exceptional Lie algebras (1971) (110)
Abstract derivation and Lie algebras (1937) (106)
Some Remarks on One-Sided Inverses (1950) (91)
Lectures on quadratic Jordan algebras (1969) (84)
Schur’s theorems on commutative matrices (1944) (82)
Structure of Alternative and Jordan Bimodules (1954) (77)
Classes of restricted Lie algebras of characteristic $p$, II (1943) (75)
Pseudo-Linear Transformations (1937) (71)
Completely Reducible Lie Algebras of Linear Transformations (1951) (69)
Restricted Lie algebras of characteristic (1941) (68)
General Representation Theory of Jordan Algebras (1951) (64)
Some Groups of Transformations defined by Jordan Algebras. I. (1959) (60)
A Topology for the Set of Primitive Ideals in an Arbitrary Ring. (1945) (60)
Some groups of Transformations defined by Jordan Algebras. III. Groups of Type E61. (1961) (58)
Cayley numbers and normal simple Lie algebras of type $G$ (1939) (56)
Structure theory of simple rings without finiteness assumptions (1945) (56)
Rational Methods in the Theory of Lie Algebras (1935) (55)
Classification and Representation of Semi-Simple Jordan Algebras (1949) (54)
On Pseudo-Linear Transformations. (1935) (53)
Elements of representation theory (1968) (52)
On Reduced Exceptional Simple Jordan Algebras (1957) (51)
Clifford algebras for algebras with involution of type D (1964) (44)
Classes of Restricted Lie Algebras of Characteristic p. I (1941) (43)
Some applications of Jordan norms to involutorial simple associative algebras (1983) (42)
Derivation Algebras and Multiplication Algebras of Semi-Simple Jordan Algebras (1949) (37)
A Note on Division Rings (1947) (36)
A Note on Lie Algebras of Characteristic p (1952) (36)
A THEOREM ON THE STRUCTURE OF JORDAN ALGEBRAS. (1956) (35)
Generic norm of an algebra (1963) (32)
Structure theory for a class of jordan algebras. (1966) (32)
On the Theory of Primitive Rings (1947) (31)
A note on automorphisms of Lie algebras (1962) (29)
A note on non-associative algebras (1937) (29)
Galois Theory of Purely Inseparable Fields of Exponent One (1944) (29)
Normal Semi-Linear Transformations (1939) (29)
Homomorphisms of Jordan Rings of Self-Adjoint Elements (1952) (28)
A note on hermitian forms (1940) (28)
An Extension of Galois Theory to Non-Normal and Non-Separable Fields (1944) (28)
Structure groups and Lie algebras of Jordan algebras of symmetric elements of associative algebras with involution (1976) (27)
A Note on Three Dimensional Simple Lie Algebras (1958) (27)
Nickel and strontium distribution in some mouse tissues. Passage through placenta and mammary glands. (1978) (26)
The Fundamental Theorem of the Galois Theory for Quasi-Fields (1940) (26)
Simple Lie algebras over a field of characteristic zero (1938) (23)
A COORDINATIZATION THEOREM FOR JORDAN ALGEBRAS. (1962) (21)
A Kronecker Factorization Theorem for Cayley Algebras and the Exceptional Simple Jordan Algebra (1954) (20)
Locally Compact Rings. (1935) (19)
Triality and Lie Algebras of Type D 4 (1964) (18)
In vitro production of sulphated mucosubstances by the labial and palatine glands of the monkey Macaca irus. (1975) (18)
Totally Disconnected Locally Compact Rings (1936) (16)
Abraham Adrian Albert 1905–1972 (1974) (15)
An application of E. H. Moore's determinant of a hermitian matrix (1939) (14)
Salivary amylase. II. Alpha-amylase in salivary glands of the Macaca irus monkey, the Cercopithecus aethiops monkey, and man. (1970) (14)
Non-Commutative Polynomials and Cyclic Algebras (1934) (13)
Some projective varieties defined by Jordan algebras (1985) (12)
Isomorphisms of Jordan Rings (1948) (12)
Geometrically Reductive Hopf Algebras (2003) (11)
$p$-algebras of exponent $p$ (1937) (11)
In vitro production of alpha-amylase by monkey parotid gland. (1969) (11)
On Jordan Algebras with Two Generators (1957) (10)
MacDonald's theorem on Jordan algebras (1962) (9)
Localization of jordan algebras (1978) (9)
Molecular weight and amino acid composition of Macaca irus parotid alpha-amylase. (1971) (9)
Lectures in abstract algebra vol. I : basic concepts / Nathan Jacobson (1951) (8)
Strontium, lead and nickel incorporation into mouse calvaria in vitro. (1975) (8)
Brauer Factor Sets, Noether Factor Sets, and Crossed Products (1983) (8)
A Note on Topological Fields (1937) (8)
The Equation x′≡xd - dx = b (1989) (7)
GALOIS SUBRINGS OF ORE DOMAINS ARE ORE DOMAINS (2007) (7)
Basic, proline-rich glycoproteins in the submandibular gland secretion of the Cercopithecus aethiops. (1976) (7)
Nilpotent elements in semi-simple Jordan algebras (1958) (7)
A Note on Non-Commutative Polynomials (1934) (6)
A Class of Normal Simple Lie Algebras of Characteristic Zero (1937) (6)
Operator commutativity in Jordan algebras (1952) (6)
Commutative Restricted Lie Algebras (1955) (6)
Some groups of transformations defined by Jordan algebras. II. Groups of type F4. (1960) (6)
Structure and Automorphisms of Semi-Simple Lie Groups in the Large (1939) (5)
Cartan Subalgebras of Jordan Algebras (1966) (5)
A Note on Two Dimensional Division Ring Extensions (1955) (5)
Emmy Noether Gesammelte Abhandlungen Collected Papers (1983) (4)
Enveloping Algebras of Semi-Simple Lie Algebras (1950) (4)
The equation $x' \equiv xd - dx = b$ (1944) (4)
Isoelectric separation of proteins after in vitro cultivation of sublingual tissue. (1971) (4)
Introduction: Concepts from Set Theory the System of Natural Numbers (1951) (4)
Human submandibular gland tissue in culture 2. Nickel affinity to secretory proteins. (1977) (4)
Isoelectric variants of Macaca irus salivary alpha-amylase. (1973) (4)
In vitro incorporation of [14C] L-leucine into monkey (Macaca irus) parotid and submandibular gland proteins. (1970) (4)
A SHORT AUTOBIOGRAPHY OF L. S. PONTRYAGIN (1978) (4)
Associative algebras with involution and Jordan algebras (1966) (4)
Simple Lie Algebras of Type A (1938) (4)
Simple Lie Algebras of Type A. (1937) (3)
In Memory of Emmy Noether (1983) (3)
Collected mathematical papers (1989) (3)
Human submandibular gland tissue in culture I. Sulphate incorporation and tissue culture technique. (1977) (3)
The center of a Jordan ring (1948) (3)
Some recent developments in the theory of algebras with polynomial identities (1978) (3)
Structure Theory of Fields (1964) (2)
Relations Between the Composites of a Field and Those of a Subfield (1944) (2)
Biochemical characteristics of certain salivary glycoproteins from Cercopithecus aethiops. (1976) (2)
Groups with Operators (1951) (2)
Nathan Jacobson Collected Mathematical Papers (1989) (2)
Generation of separable and central simple algebras (1989) (2)
Lectures on Jordan algebras (1964) (1)
The First Summer Mathematical Institute (2007) (1)
Forms of the generic norm of a separable Jordan algebra (1984) (1)
Simple Algebras with Involution (1996) (1)
Separable Jordan Algebras over Commutative Rings (2003) (1)
Bimodule structure of certain Jordan algebras relative to subalgebras with one generator (1981) (1)
A Personal History and Commentary (1989) (1)
Finite Dimensional Vector Spaces (1953) (1)
Generic Norms, II (1995) (1)
Artin-Schreier Theory (1964) (1)
Structure theory for finite-dimensional Jordan algebras (1968) (1)
Triality and Lie algebras of typeD4 (1964) (1)
Semi-Groups and Groups (1951) (1)
Construction of Central Simple Associative Algebras (1944) (1)
Euclidean and Unitary Spaces (1953) (0)
THE SUMMER MEETING IN ANN ARBOR (2007) (0)
Rings, Integral Domains and Fields (1951) (0)
The problem of descent in linear algebra (1965) (0)
Rings with minimum condition (1956) (0)
THE OCTOBER MEETING IN NEW YORK The four hundred fiftieth meeting of the American Mathematical (2007) (0)
Structure of rings of endomorphisms and of abstract rings (1943) (0)
Brauer Factor Sets and Noether Factor Sets (1996) (0)
The problem of descent in linear algebra〔和文〕 (1965年度年会総合講演(特集)) (1965) (0)
Representation theory for separable Jordan algebras (1968) (0)
Non-commutative principal ideal domains (1943) (0)
Connections with Lie algebras (1968) (0)
Title Structure of alternative and Jordan bimodules (0)
THE EQUATION x'mXd-dx**b (2007) (0)
Groups and endomorphisms (1943) (0)
Galois Descent and Generic Splitting Fields (1996) (0)
Irreducible modules and primitive rings (1956) (0)
Lectures abstract algebra vol. II : linear algebra / Nathan Jacobson (1953) (0)
The Theory of a Single Linear Transformation (1953) (0)
Modules and Ideals (1951) (0)
Completely reducible modules. Galois theory for the ring of linear transformations (1956) (0)
Skew Polynomials and Division Algebras (1996) (0)
Nil ideals and prime ideals (1956) (0)
Lectures in abtsract algebra vol. III : theory of field and Galois theory / Nathan Jacobson (1953) (0)
GENERIC NORM OF AN ALGEBRA* Dedicated to Professor K. Shoda on his sixtieth birthday (1989) (0)
Jordan algebras with minimum conditions on quadratic ideals (1968) (0)
Sets of Linear Transformations (1953) (0)
Applications to finite dimensional algebras (1975) (0)
Basic algebra I / Nathan Jacobson (1985) (0)
Elementary Factorization Theory (1951) (0)
TOPIC PROPOSAL : SEMISIMPLE LIE ALGEBRAS AND THEIR REPRESENTATIONS (2002) (0)
Generic minimum polynomials, traces and norms (1968) (0)
On Some Inner Derivations of Free Lie Algebras over Commutative Rings (2003) (0)
Einar Hille, his yale years, A personal recollection (1981) (0)
Book Review: The Classical Groups (1940) (0)
Algebras over a field (1943) (0)
Exceptional Jordan algebras (1968) (0)
The Ring of Linear Transformations (1953) (0)
Peirce decompositions and Jordan matrix algebras (1968) (0)
Products of Vector Spaces (1953) (0)
The radical and semi-simplicity (1956) (0)
Evolution in Colors by Frans Gerritsen, Schiffer Publishing Ltd., Westchester, Pennsylvania, 1988, 88 pp. paper‐bound, $14.95 (1991) (0)
Review: Hermann Weyl, The Classical Groups (1940) (0)
Isoelectric separation of proteins after in vitro cultivation of sublingual tissue. (1971) (0)
Finite Dimensional Extension Fields (1964) (0)
Multiplicative ideal theory (1943) (0)
ON A CONJECTURE OF G. D. MOSTOW AND THE STRUCTURE OF SOLVMANIFOLDS BY L. AUSLANDER AND R. TOLIMIERI (2007) (0)
Galois Theory of Equations (1964) (0)
Primitive rings having minimal one-sided ideals (1956) (0)
Nathan Jacobson Collected Mathematical Papers: Volume 2 (1947-1965) (1990) (0)
Cultivation of the virus of foot and mouth disease on epithelial tissue from ox tongues. (1950) (0)
THE NOVEMBER MEETING IN UNIVERSITY, ALABAMA The five hundred and seventh meeting of the American Mathe- (2007) (0)
Smoeremiddelblanding comprising a lubricating oil and an oil-soluble copolymer (1969) (0)
Extensions of Rings and Fields (1951) (0)
Journal of Algebra Algebra Editor-in-chief: Graham Higman Contents of Volume 70 (0)

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