A GENERALIZATION OF J - QUASIPOLAR RINGS

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Calci T. P., Halicioglu S., Harmanci A.

MISKOLC MATHEMATICAL NOTES, vol.18, no.1, pp.155-165, 2017 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 18 Issue: 1
  • Publication Date: 2017
  • Doi Number: 10.18514/mmn.2017.1508
  • Journal Name: MISKOLC MATHEMATICAL NOTES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
  • Page Numbers: pp.155-165
  • Hacettepe University Affiliated: Yes

Abstract

In this paper we introduce a class of quasipolar rings which is a generalization of J-quasipolar rings. Let R be a ring with identity. An element a is an element of R is called delta-quasipolar if there exists p(2) = p is an element of comm(2)(a) such that a + p is contained in delta(R), and the ring R is called delta-quasipolar if every element of R is delta-quasipolar. We use delta-quasipolar rings to extend some results of J-quasipolar rings. Then some of the main results of J-quasipolar rings are special cases of our results for this general setting. We give many characterizations and investigate general properties of delta-quasipolar rings.