TY - BOOK AU - Amitsur,S.A. AU - Saltman,D.J. AU - Seligman,G.B. TI - Algebraists' Homage: Papers in Ring Theory and Related Topics T2 - Contemporary Mathematics SN - 9780821875995 AV - QA251.5 -- .C66 1981eb U1 - 512/.4 PY - 1982/// CY - Providence PB - American Mathematical Society KW - Associative rings -- Congresses KW - Nonassociative rings -- Congresses KW - Associative algebras -- Congresses KW - Nonassociative algebras -- Congresses KW - Galois theory -- Congresses KW - Electronic books N1 - Intro -- 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 UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113064 ER -