Gerasimov, V. N.

Three papers on algebras and their representations / Series 2, volume 156 V.N. Gerasimov, N.G. Nesterenko, A.I. Valitskas. - Providence, R.I. : American Mathematical Society, c1993. - 1 online resource (x, 195 p. : ill.) - American Mathematical Society Translations: Series 2, .

Translated from the Russian.

Includes bibliographical references.

Introduction;Free algebras and algebras with a single relation;Inverting homomorphisms of rings;References;Conventions and Notation;Introduction;Representability of Triangular Categories and Graded Algebras;Representation of Algebras by Triangular Matrices. Algebras with Diagonal;Introduction;Special Representations of Nilpotent Graded Algebras;References;Introduction;Index of Notation;Absence of a Finite Basis of Quasi-identities for the Quasivariety of Rings Embeddable in Radivasl Rings;Examples of Noninvertible Rings Embeddable in Groups;Representation of Finite-Dimensional Lie Algebras in Radical Rings;Rational Identities of Radical Algebras;References

9781470433673 (online)


Representations of algebrasAssociative algebrasRadical theory