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Semiregular and Weakly Regular Rings

  • Askar Tuganbaev
Chapter
Part of the Mathematics and Its Applications book series (MAIA, volume 545)

Abstract

For a module M, we say that a submodule N of M lies above a direct summand of M if there is a direct decomposition M = P⊕Q such that P⊆N and QN is a superfluous submodule of Q. In this case, QN is a superfluous submodule of M and QNJ(M).

Keywords

Direct Summand Regular Ring Cyclic Module Direct Decomposition Semiprime Ring 
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 2002

Authors and Affiliations

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

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