Abelian Groups With Sufficiently π-Regular Endomorphism Ring View Full Text


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Article Info

DATE

2018-09

AUTHORS

O. V. Ivanets, V. M. Misyakov

ABSTRACT

The notion of π-regular endomorphism ring of an abelian group, which generalizes the notion of regular endomorphism ring, was introduced in papers of L. Fuchs and K. Rangaswamy. They described periodic abelian groups with π-regular endomorphism ring and found necessary conditions for an abelian group to have π-regular endomorphism ring. In this paper, we study abelian groups with sufficiently π-regular endomorphism ring, which form a subclass of the class of abelian groups with π-regular endomorphism ring, and find necessary and sufficient conditions for an abelian group to have sufficiently π-regular endomorphism ring. More... »

PAGES

17-23

References to SciGraph publications

  • 2002-06. Endomorphism Rings of Abelian Groups in JOURNAL OF MATHEMATICAL SCIENCES
  • 2015. Abelian Groups in NONE
  • 1968-02. On generalized regular rings in MATHEMATISCHE ZEITSCHRIFT
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.3103/s1066369x18090037

    DOI

    http://dx.doi.org/10.3103/s1066369x18090037

    DIMENSIONS

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