A GENERALIZATION OF J - QUASIPOLAR RINGS
MISKOLC MATHEMATICAL NOTES, vol.18, no.1, pp.155-165, 2017 (SCI-Expanded)
- 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
- Open Archive Collection: AVESIS Open Access Collection
- 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.