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  3. Equivalence and Duality for Module Categories with Tilting and Cotilting for Rings
  • Cited by 39
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    • Publisher:
      Cambridge University Press
      Publication date:
      August 2009
      March 2004
      ISBN:
      9780511546518
      9780521838214
      DOI:
      https://doi.org/10.1017/CBO9780511546518
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.385kg, 162 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics (general), Mathematics, Algebra
      Series:
      Cambridge Tracts in Mathematics (161)
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    Subjects:
    Mathematics (general), Mathematics, Algebra
    Series:
    Cambridge Tracts in Mathematics (161)
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    Book description

    This book provides a unified approach to much of the theories of equivalence and duality between categories of modules that has transpired over the last 45 years. In particular, during the past dozen or so years many authors (including the authors of this book) have investigated relationships between categories of modules over a pair of rings that are induced by both covariant and contravariant representable functors, in particular by tilting and cotilting theories. By here collecting and unifying the basic results of these investigations with innovative and easily understandable proofs, the authors' aim is to provide an aid to further research in this central topic in abstract algebra, and a reference for all whose research lies in this field.

    Reviews

    'This book of the well-known specialists represents a valuable study of a topical algebraic problem, it contains many important results, which can stimulate the subsequent development of this domain. With clear and accessible account, with all necessary proofs and various examples, this work is very useful both for study and research.'

    Source: Zentralblatt MATH

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