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  3. An Introduction to Noncommutative Noetherian Rings
  • Cited by 296
      • 2nd edition
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    • Publisher:
      Cambridge University Press
      Publication date:
      November 2010
      July 2004
      ISBN:
      9780511841699
      9780521836876
      9780521545372
      DOI:
      https://doi.org/10.1017/CBO9780511841699
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.71kg, 370 Pages
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.54kg, 370 Pages
      • Subjects:
      Mathematics (general), Mathematics, Algebra
      Series:
      London Mathematical Society Student Texts (61)
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    Subjects:
    Mathematics (general), Mathematics, Algebra
    Series:
    London Mathematical Society Student Texts (61)
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    Book description

    This 2004 introduction to noncommutative noetherian rings is intended to be accessible to anyone with a basic background in abstract algebra. It can be used as a second-year graduate text, or as a self-contained reference. Extensive explanatory discussion is given, and exercises are integrated throughout. Various important settings, such as group algebras, Lie algebras, and quantum groups, are sketched at the outset to describe typical problems and provide motivation. The text then develops and illustrates the standard ingredients of the theory: e.g., skew polynomial rings, rings of fractions, bimodules, Krull dimension, linked prime ideals. Recurring emphasis is placed on prime ideals, which play a central role in applications to representation theory. This edition incorporates substantial revisions, particularly in the first third of the book, where the presentation has been changed to increase accessibility and topicality. Material includes the basic types of quantum groups, which then serve as test cases for the theory developed.

    Reviews

    '… well written and perfectly suits for both students beginning to study Ring theory and established mathematicians that are just interested in learning basics of the theory of Noetherian rings.'

    Source: Zentralblatt MATH

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