# BOUNDED MATRICES OVER REGULAR RINGS

• Wang Shuqin ;
• Chen Huanyin
• Published : 2006.02.01
• 66 5

#### 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, $B{in}M_n(R)$ be bounded matrices over a regular ring R. We prove that $(AB)^d = U(BA)^dU^{-1}$ for some $U{\in}GL_n(R)$.

#### Keywords

bounded matrix;idempotent matrix;invertible matrix

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