Table of contents

  1. Front Matter
    Pages I-XII
  2. Michiel Hazewinkel, Nadiya Gubareni, V.V. Kirichenko
    Pages 1-51
  3. Michiel Hazewinkel, Nadiya Gubareni, V.V. Kirichenko
    Pages 53-111
  4. Michiel Hazewinkel, Nadiya Gubareni, V.V. Kirichenko
    Pages 113-159
  5. Michiel Hazewinkel, Nadiya Gubareni, V.V. Kirichenko
    Pages 161-217
  6. Michiel Hazewinkel, Nadiya Gubareni, V.V. Kirichenko
    Pages 219-253
  7. Michiel Hazewinkel, Nadiya Gubareni, V.V. Kirichenko
    Pages 255-326
  8. Michiel Hazewinkel, Nadiya Gubareni, V.V. Kirichenko
    Pages 327-387
  9. Back Matter
    Pages 385-400

About this book

Introduction

As a natural continuation of the first volume of Algebras, Rings and Modules, this book provides both the classical aspects of the theory of groups and their representations as well as a general introduction to the modern theory of representations including the representations of quivers and finite partially ordered sets and their applications to finite dimensional algebras.

Detailed attention is given to special classes of algebras and rings including Frobenius, quasi-Frobenius, right serial rings and tiled orders using the technique of quivers. The most important recent developments in the theory of these rings are examined.

The Cartan Determinant Conjecture and some properties of global dimensions of different classes of rings are also given. The last chapters of this volume provide the theory of semiprime Noetherian semiperfect and semidistributive rings.

Of course, this book is mainly aimed at researchers in the theory of rings and algebras but graduate and postgraduate students, especially those using algebraic techniques, should also find this book of interest.

Keywords

Associative Rings and Algebras Category Theory, Homological Algebra Group representation Linear and Multilinear Algebras, Matrix Theory algebra

Editors and affiliations

  • Michiel Hazewinkel
    • 1
  • Nadiya Gubareni
    • 2
  • V.V. Kirichenko
    • 3
  1. 1.CWIAmsterdamThe Netherlands
  2. 2.Technical University of CzestochowaPoland
  3. 3.Kiev Taras Shevchenko UniversityKievUkraine

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4020-5141-8
  • Copyright Information Springer 2007
  • Publisher Name Springer, Dordrecht
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4020-5140-1
  • Online ISBN 978-1-4020-5141-8
  • About this book