2000 character limit reached
Factorizations of Matrices Over Projective-free Rings (1406.1237v1)
Published 4 Jun 2014 in math.RA
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.
Sponsor
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.