Factorizations of matrices over projective-free Rings

Date

2016

Authors

Chen, H.
Kose, H.
Kurtulmaz, Y.

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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.

Source Title

Algebra Colloquium

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World Scientific Publishing Co. Pte Ltd

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Published Version (Please cite this version)

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English