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Bezout and regular modules

  • Askar A. Tuganbaev
Chapter
Part of the Mathematics and Its Applications book series (MAIA, volume 449)

Abstract

A regular module is any module M satisfying the following equivalent conditions.
  1. (1)

    Every cyclic submodule of M is a direct summand of M.

     
  2. (2)

    Every finitely generated submodule of M is a direct summand of M.

     

Keywords

Direct Summand Simple Module Division Ring Regular Ring Regular Module 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 1998

Authors and Affiliations

  • Askar A. Tuganbaev
    • 1
  1. 1.Moscow Power Engineering InstituteTechnological UniversityMoscowRussia

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