Certain clean decompositions for matrices over local rings
Date
2023-12-31
Editor(s)
Advisor
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Source Title
Kyungpook Mathematical Journal
Print ISSN
1225-6951
Electronic ISSN
0454-8124
Publisher
Kyungpook National University Department of Mathematics
Volume
63
Issue
4
Pages
561 - 569
Language
en
Type
Journal Title
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Abstract
An element a E R is strongly rad-clean provided that there exists an idempotent e E R such that a -e E U(R), ae = ea and eae E J(eRe). In this article, we completely determine when a 2 x 2 matrix over a commutative local ring is strongly rad clean. An application to matrices over power-series is also given.