نتایج جستجو برای: strongly nil clean rings

تعداد نتایج: 301754  

Journal: :International Journal of Pure and Apllied Mathematics 2017

Journal: :bulletin of the iranian mathematical society 2015
h. chen h. kose y. ‎kurtulmaz

‎a ring $r$ is strongly clean provided that every element‎ ‎in $r$ is the sum of an idempotent and a unit that commutate‎. ‎let‎ ‎$t_n(r,sigma)$ be the skew triangular matrix ring over a local‎ ‎ring $r$ where $sigma$ is an endomorphism of $r$‎. ‎we show that‎ ‎$t_2(r,sigma)$ is strongly clean if and only if for any $ain‎ ‎1+j(r)‎, ‎bin j(r)$‎, ‎$l_a-r_{sigma(b)}‎: ‎rto r$ is surjective‎. ‎furt...

Journal: :Journal of Algebra and Its Applications 2015

2008
LINGLING FAN XIANDE YANG

A ring R is called strongly clean if every element of R is the sum of a unit and an idempotent that commute. By SRC factorization, Borooah, Diesl, and Dorsey [3] completely determined when Mn(R) over a commutative local ring R is strongly clean. We generalize the notion of SRC factorization to commutative rings, prove that commutative n-SRC rings (n ≥ 2) are precisely the commutative local ring...

Journal: :Glasgow Mathematical Journal 2006

Journal: :Proceedings of the Edinburgh Mathematical Society 2007

Journal: :International Journal of Apllied Mathematics 2021

2010
W. K. Nicholson

In this paper we partially answer two open questions concerning clean rings. First, we demonstrate that if a quasi-continuous module is strongly clean then it is Dedekind-finite. Second, we prove a partial converse. We also prove that all clean decompositions on submodules of continuous modules extend to the entire module.

Journal: :Bulletin of the Korean Mathematical Society 2009

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