Title
Ideals of Identities of Associative Algebras (Translations of Mathematical Monographs),Used
Delivery time: 8-12 business days (International)
This book concerns the study of the structure of identities of PIalgebras over a field of characteristic zero. In the first chapter, the author brings out the connection between varieties of algebras and finitelygenerated superalgebras. The second chapter examines graded identities of finitelygenerated PIsuperalgebras. One of the results proved concerns the decomposition of Tideals, which is very useful for the study of specific varieties. In the fifth section of Chapter Two, the author solves Spechts problem, which asks whether every associative algebra over a field of characteristic zero has a finite basis of identities. The book closes with an application of methods and results established earlier: the author finds asymptotic bases of identities of algebras with unity satisfying all of the identities of the full algebra of matrices of order two.
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