ON 2 × 2 STRONGLY CLEAN MATRICES

Title & Authors
ON 2 × 2 STRONGLY CLEAN MATRICES
Chen, Huanyin;

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 $\small{2{\times}2}$ 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;$\small{2{\times}2}$ matrix;
Language
English
Cited by
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