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  3. Noncommutative Rings
  • Cited by 288
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    • Publisher:
      Mathematical Association of America
      Publication date:
      05 June 2014
      01 June 1968
      ISBN:
      9781614440154
      9780883850152
      9780883850398
      DOI:
      https://doi.org/10.5948/UPO9781614440154
      Dimensions:
      Weight & Pages:
      00kg,
      Dimensions:
      Weight & Pages:
      00kg,
      • Subjects:
      Mathematics, Algebra
      Series:
      Carus Mathematical Monographs
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    Subjects:
    Mathematics, Algebra
    Series:
    Carus Mathematical Monographs
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    Book description

    This beautiful book is the result of the author's wide and deep knowledge of the subject matter, combined with a gift for exposition ... The well selected material is offered in an integrated presentation of the structure theory of noncommutative (associative rings) and its applications. The book will appeal to many a reader. It would be wonderful as a textbook, and in fact, it's based on the author's lecture notes ... Only people looking for the most general form of a particular theorem are advised to turn to other books, but those interested in studying or reviewing its subject matter or looking for a rounded account of it, could do no better than choosing this book for this purpose. Bulletin of the American Mathematical SocietyNoncommutative Rings provides a cross-section of ideas, techniques and results that give the reader an idea of that part of algebra which concerns itself with noncommutative rings. In the space of 200 pages, Herstein covers the Jacobson radical, semisimple rings, commutativity theorems, simple algebras, representations of finite groups, polynomial identities, Goldie's theorem and the Golod-Shafarevitch theorem. Almost every practicing ring theorist has studied portions of this classic monograph.

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