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Название: Rings with Generalized Identities
Авторы: Beidar K.I., Martindale III W.S., Mikhalev A.V.
This outstanding reference discusses the latest results concerning the area of non-commutative ring theory known as the theory of generalized identities (GIs) - detailing Kharchenko's results on GIs in prime rings, Chuang's extension to anti-automorphisms, and the use of the Beidar-Mikhalev theory of orthogonal completion in the semiprime case. Providing novel proofs of existing results, Rings with Generalized Identities puts the theory of generalized identities on a rigorous basis with the use of skew group rings...presents Beidar's determination of the generators of the T-ideal of generalized polynomial identities in (semi)prime rings...furnishes a thorough proof of the generalized Poincare-Birkhoff-Witt theorem for (restricted) differential Lie algebras, making extensive use of the Diamond Lemma...gives a general account of the extended centroid and rings of quotients...covers a recent solution to a long-standing conjecture of Herstein on Lie isomorphisms...and more.