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Ideals of Identities of Associative Algebras
 
Ideals of Identities of Associative Algebras
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
Ideals of Identities of Associative Algebras
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Ideals of Identities of Associative Algebras
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
  • Book Details
     
     
    Translations of Mathematical Monographs
    Volume: 871991; 81 pp
    MSC: 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.

  • Table of Contents
     
     
    • Chapters
    • Introduction
    • Chapter I. Varieties and Superalgebras
    • Chapter II. Identities of Finitely-Generated Algebras
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 871991; 81 pp
MSC: 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.

  • Chapters
  • Introduction
  • Chapter I. Varieties and Superalgebras
  • Chapter II. Identities of Finitely-Generated Algebras
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.