Title: IMBEDDING OF ALGEBRAS IN ALGEBRAS OF TRIANGULAR MATRICES
Abstract:It is proved in the paper that an algebra which satisfies identities of the form ??is imbeddable in the algebra of triangular matrices over a commutative algebra . This permits us to answer both the q...It is proved in the paper that an algebra which satisfies identities of the form ??is imbeddable in the algebra of triangular matrices over a commutative algebra . This permits us to answer both the question due to L. Small concerning the imbeddability of an arbitrary nilpotent algebra in a matrix algebra over a commutative algebra and the question of D. Passman on the imbeddability of a group algebra which satisfies a nontrivial identity in a matrix algebra over a commutative algebra.Bibliography: 6 titles.Read More
Publication Year: 1980
Publication Date: 1980-02-28
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 4
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