BOUNDED MATRICES OVER REGULAR RINGS

Title & Authors
BOUNDED MATRICES OVER REGULAR RINGS
Wang Shuqin; Chen Huanyin;

Abstract
In this paper, we investigate bounded matrices over regular rings. We observe that every bounded matrix over a regular ring can be described by idempotent matrices and invertible matrices. Let A, $\small{B{in}M_n(R)}$ be bounded matrices over a regular ring R. We prove that $\small{(AB)^d = U(BA)^dU^{-1}}$ for some $\small{U{\in}GL_n(R)}$.
Keywords
bounded matrix;idempotent matrix;invertible matrix;
Language
English
Cited by
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