STRONGLY CLEAN MATRIX RINGS OVER NONCOMMUTATIVE LOCAL RINGS

Title & Authors
STRONGLY CLEAN MATRIX RINGS OVER NONCOMMUTATIVE LOCAL RINGS
Li, Bingjun;

Abstract
An element of a ring R with identity is called strongly clean if it is the sum of an idempotent and a unit that commute, and R is called strongly clean if every element of R is strongly clean. Let R be a noncommutative local ring, a criterion in terms of solvability of a simple quadratic equation in R is obtained for $\small{M_2}$(R) to be strongly clean.
Keywords
strongly clean ring;matrix ring;local ring;similarity;
Language
English
Cited by
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ON 2 × 2 STRONGLY CLEAN MATRICES, Bulletin of the Korean Mathematical Society, 2013, 50, 1, 125
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