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http://dx.doi.org/10.4134/BKMS.2013.50.1.125

ON 2 × 2 STRONGLY CLEAN MATRICES  

Chen, Huanyin (Department of Mathematics Hangzhou Normal University)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.1, 2013 , pp. 125-134 More about this Journal
Abstract
An element in a ring R is strongly clean provided that it is the sum of an idempotent and a unit that commutate. In this note, several necessary and sufficient conditions under which a $2{\times}2$ matrix over an integral domain is strongly clean are given. These show that strong cleanness over integral domains can be characterized by quadratic and Diophantine equations.
Keywords
strong cleanness; integral domain; $2{\times}2$ matrix;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
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