Factorizations of matrices over projective-free Rings
Date
2016
Authors
Chen, H.
Kose, H.
Kurtulmaz, Y.
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Source Title
Algebra Colloquium
Print ISSN
1005-3867
Electronic ISSN
0219-1733
Publisher
World Scientific Publishing Co. Pte Ltd
Volume
23
Issue
1
Pages
23 - 32
Language
English
Type
Article
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Volume Title
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Abstract
An element of a ring R is called strongly J#-clean provided that it can be written as the sum of an idempotent and an element in J#(R) that commute. In this paper, we characterize the strong J#-cleanness of matrices over projective-free rings. This extends many known results on strongly clean matrices over commutative local rings. © 2016 Academy of Mathematics and Systems Science, Chinese Academy of Sciences, and Suzhou University.