Very cleanness of generalized matrices
Date
2016-01
Authors
Kurtulmaz, Y.
Editor(s)
Advisor
Supervisor
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Co-Supervisor
Instructor
Source Title
Bulletin of the Iranian Mathematical Society
Print ISSN
1018-6301
Electronic ISSN
1735-8515
Publisher
Springer
Volume
43
Issue
5
Pages
1457 - 1465
Language
English
Type
Journal Title
Journal ISSN
Volume Title
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Abstract
An element a in a ring R is very clean in case there exists an idempotent e 2 R such that ae = ea and either a e or a + e is invertible. An element a in a ring R is very J-clean provided that there exists an idempotent e 2 R such that ae = ea and either ae 2 J(R) or a + e 2 J(R). Let R be a local ring, and let s 2 C(R). We prove that A 2 Ks(R) is very clean if and only if A 2 U(Ks(R)); I A 2 U(Ks(R)) or A 2 Ks(R) is very J-clean.