Polynomial identities in ring theory. (English) Zbl 0461.16001

Rowen, Louis Halle

Pure and Applied Mathematics. 84. New York etc.: Academic Press. xx, 365 p. $ 39.50 (1980).

MSC:

16-02	Research exposition (monographs, survey articles) pertaining to associative rings and algebras
16S50	Endomorphism rings; matrix rings
16Rxx	Rings with polynomial identity
17D05	Alternative rings
16H05	Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.)
16P40	Noetherian rings and modules (associative rings and algebras)
16D60	Simple and semisimple modules, primitive rings and ideals in associative algebras
16Kxx	Division rings and semisimple Artin rings
16S10	Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.)
16N60	Prime and semiprime associative rings
16W10	Rings with involution; Lie, Jordan and other nonassociative structures
16P10	Finite rings and finite-dimensional associative algebras
16P50	Localization and associative Noetherian rings

Keywords:

semi-prime PI-rings; Azumaya algebras; tensor products of PI-algebras; prime spectrum of PI-algebras; identities of matrix algebra; central polynomials; Capelli identities; T-ideals; relatively free rings; rings with involution; simple PI-algebras; central simple algebras; finitely generated PI-extensions; Jacobson radical; prime spectrum of Noetherian PI-ring; generalized identities; rational identities; division rings; alternative rings; Grassmann algebra

Citations:

Zbl 0354.16008; Zbl 0282.17003; Zbl 0358.16013