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A GENERALIZATION OF J -QUASIPOLAR RINGS.
- Source :
-
Miskolc Mathematical Notes . 2017, Vol. 18 Issue 1, p155-165. 11p. - Publication Year :
- 2017
-
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 ϵ 2 R is called 1-quasipolar if there exists p2 = p ϵ comm2(a) such that a + p is contained in δ(R), and the ring R is called δ-quasipolar if every element of R is δ-quasipolar. We use 1-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 1-quasipolar rings. [ABSTRACT FROM AUTHOR]
- Subjects :
- *GENERALIZATION
*SPECTRAL theory
*INTEGERS
*BANACH algebras
*MATRICES (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 17872405
- Volume :
- 18
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Miskolc Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 123826539
- Full Text :
- https://doi.org/10.18514/MMN.2017.1508