Semihereditary and invariant rings

Part of the Mathematics and Its Applications book series (MAIA, volume 449)


  1. (1)

    Let N be a submodule of a finitely presented module M. Then N is finitely generated ⇔M/N is finitely presented.

  2. (2)

    A direct sum of two finitely presented modules is a finitely presented module.

  3. (3)

    If N1 and N2 are finitely presented submodules of a module M such that N1 + N2 is a finitely presented module, then N1 ∩ N2 is a finitely generated module.



Prime Ideal Division Ring Regular Element Nilpotent Element Minimal Prime Ideal 
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

  1. 1.Moscow Power Engineering InstituteTechnological UniversityMoscowRussia

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