نتایج جستجو برای: strongly clean rings

تعداد نتایج: 297497  

Journal: :Glasgow Mathematical Journal 2006

Journal: :Communications in Algebra 2016

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

Journal: :Journal of Pure and Applied Algebra 2008

Journal: :Linear Algebra and its Applications 2007

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