Description

Book Synopsis

The theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics. General algebra, more specifically non-commutative algebra, is poised for major advances in the twenty-first century (together with and in interaction with combinatorics), just as topology, analysis, and probability experienced in the twentieth century. This is the second volume of Algebras, Rings and Modules: Non-commutative Algebras and Rings by M. Hazewinkel and N. Gubarenis, a continuation stressing the more important recent results on advanced topics of the structural theory of associative algebras, rings and modules.



Table of Contents

Rings related to finite posets. Distributive and semidistributive rings. The group of extensions. Modules over semiperfect rings. Representations of primitive posets. Representations of quivers, species and finite dimensional algebras. Artinian rings of finite representation type. O-species and SPSD-rings of bounded representation type.

Algebras Rings and Modules Volume 2

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    A Hardback by Michiel Hazewinkel, Nadiya M. Gubareni

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      View other formats and editions of Algebras Rings and Modules Volume 2 by Michiel Hazewinkel

      Publisher: Taylor & Francis Ltd
      Publication Date: Publication Date: 12/12/2016
      ISBN13: 9781138035829, 978-1138035829
      ISBN10: 1138035823
      Also in:
      Mathematics Algebra Physics

      Description

      Book Synopsis

      The theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics. General algebra, more specifically non-commutative algebra, is poised for major advances in the twenty-first century (together with and in interaction with combinatorics), just as topology, analysis, and probability experienced in the twentieth century. This is the second volume of Algebras, Rings and Modules: Non-commutative Algebras and Rings by M. Hazewinkel and N. Gubarenis, a continuation stressing the more important recent results on advanced topics of the structural theory of associative algebras, rings and modules.



      Table of Contents

      Rings related to finite posets. Distributive and semidistributive rings. The group of extensions. Modules over semiperfect rings. Representations of primitive posets. Representations of quivers, species and finite dimensional algebras. Artinian rings of finite representation type. O-species and SPSD-rings of bounded representation type.

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