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arXiv · 1406.1237

Factorizations of Matrices Over Projective-free Rings

H. Chen·H. Kose·Y. Kurtulmaz
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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. We characterize, in this article, the strongly $J^{\#}$-cleanness of matrices over projective-free rings. These extend many known results on strongly clean matrices over commutative local rings.

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H. Chen, H. Kose, Y. Kurtulmaz. 2014-06-04. Factorizations of Matrices Over Projective-free Rings. https://arxiv.org/abs/1406.1237

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