| Hardcover ISBN: | 978-0-8218-4548-6 |
| Product Code: | MMONO/87 |
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| eBook ISBN: | 978-1-4704-4499-0 |
| Product Code: | MMONO/87.E |
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| MAA Member Price: | $139.50 |
| AMS Member Price: | $124.00 |
| Hardcover ISBN: | 978-0-8218-4548-6 |
| eBook: ISBN: | 978-1-4704-4499-0 |
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| MAA Member Price: | $288.00 $218.25 |
| AMS Member Price: | $256.00 $194.00 |
| Hardcover ISBN: | 978-0-8218-4548-6 |
| Product Code: | MMONO/87 |
| List Price: | $165.00 |
| MAA Member Price: | $148.50 |
| AMS Member Price: | $132.00 |
| eBook ISBN: | 978-1-4704-4499-0 |
| Product Code: | MMONO/87.E |
| List Price: | $155.00 |
| MAA Member Price: | $139.50 |
| AMS Member Price: | $124.00 |
| Hardcover ISBN: | 978-0-8218-4548-6 |
| eBook ISBN: | 978-1-4704-4499-0 |
| Product Code: | MMONO/87.B |
| List Price: | $320.00 $242.50 |
| MAA Member Price: | $288.00 $218.25 |
| AMS Member Price: | $256.00 $194.00 |
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Book DetailsTranslations of Mathematical MonographsVolume: 87; 1991; 81 ppMSC: Primary 16; Secondary 08; 15
This book concerns the study of the structure of identities of PI-algebras over a field of characteristic zero. In the first chapter, the author brings out the connection between varieties of algebras and finitely-generated superalgebras. The second chapter examines graded identities of finitely-generated PI-superalgebras. One of the results proved concerns the decomposition of T-ideals, which is very useful for the study of specific varieties. In the fifth section of Chapter Two, the author solves Specht's 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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Table of Contents
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Chapters
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Introduction
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Chapter I. Varieties and Superalgebras
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Chapter II. Identities of Finitely-Generated Algebras
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This book concerns the study of the structure of identities of PI-algebras over a field of characteristic zero. In the first chapter, the author brings out the connection between varieties of algebras and finitely-generated superalgebras. The second chapter examines graded identities of finitely-generated PI-superalgebras. One of the results proved concerns the decomposition of T-ideals, which is very useful for the study of specific varieties. In the fifth section of Chapter Two, the author solves Specht's 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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Chapters
-
Introduction
-
Chapter I. Varieties and Superalgebras
-
Chapter II. Identities of Finitely-Generated Algebras
