1.

Record Nr.

UNINA9910480602303321

Titolo

Algebraists' homage : papers in ring theory and related topics

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [1982]

©1982

ISBN

0-8218-7599-X

0-8218-5374-0

Descrizione fisica

1 online resource (420 p.)

Collana

Contemporary mathematics, , 0271-4132 ; ; volume 13

Disciplina

512/.4

Soggetti

Associative rings

Nonassociative rings

Associative algebras

Nonassociative algebras

Galois theory

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Proceedings of the Conference on Algebra in honor of Nathan Jacobson, held in New Haven, Connecticut, June 2-5, 1981, edited by S.A. Amitsur, D.J. Saltman, and G.B. Seligman"--Verso of title page.

Nota di bibliografia

Includes bibliographies.

Nota di contenuto

""Contents""; ""Introduction""; ""Survexs:""; ""Division algebras, a survey""; ""Representation theory of finite dimensional algebras""; ""The polynomial identities of matrices""; ""0. Introduction""; ""1. T-ideals""; ""2. Central polynomials""; ""3. Representation theory of the symmetric group and general linear group""; ""4. Trace identities""; ""5. Codimensions and cocharacters""; ""6. The ring of generic matrices""; ""7. Example: The ring of 2 x 2 generic matrices""; ""The order of a finite group of Lie type""; ""Restricted Lie algebras (and beyond)""; ""Addresses:""

""Determinants on free fields""""Weak cohomology""; ""Papers in Ring Theory:""; ""Applications of the classification of finite simple groups to Brauer groups""; ""Generic structures and field theory""; ""Balanced spaces of forms and skew cyclic transformations""; ""Rings with bounded index of nilpotence""; ""On the Jacobson density theorem""; ""Derivations of prime rings having power-central values""; ""Lie and



Jordan mappings""; ""Some properties of rings reflected in endomorphism rings of free modules""

""On the Galois theory of commutative rings I: Dedekind's theorem on the independence of automorphisms revisited""""On the deformation of diagrams of algebras""; ""On the Gelfand-Kirillov dimensions of noetherian PI-algebras""; ""A simple proof of Kostant's theorem, and an analogue for the symplectic involution""; ""Affine rings satisfying a polynomial identity""; ""Algebraic structure of power series rings""; ""Linkage and the symmetric algebra of ideals""; ""Polynomial constraints in lattice-ordered rings""; ""Lie, Jordan and Nonassociative Systems:""

""Reality properties of conjugacy classes in spin groups and symplectic groups""""Variations on even Clifford algebras""; ""On the determination of rank one Lie algebras of prime characteristic""; ""Restricted simple Lie algebras of rank 2 or of toral rank 2""; ""Restricted simple Lie algebras with toral Cartan subalgebras""; ""Composition triples""; ""Triple products, modular forms and harmonic volumes""; ""Bivariants of ternary rings""; ""Separable alternative algebras over commutative rings""; ""Exceptional Jordan division algebras""; ""An apology for Jordan algebras in quantum theory""

""Identities of non-associative algebras studied by computer""""Galois Theory and Other Topics:""; ""On regularly closed fields""; ""Some geometric applications of a differential equation in characteristic p > 0 to the theory of algebraic surfaces""; ""On the inverse problem in difference Galois theory""; ""Quadratic Hopf algebras and Galois extensions""; ""The left antipodes of a left Hopf algebra""; ""Similarity of nilpotent integer matrices, or, four elementary categories""; ""Normal antilinear operators on a Hilbert space""; ""Why commutative diagrams coincide with equivalent proofs""

""Axiomatic game theory""