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Bounded matrices over regular rings

Huanyin Chen|Shuqin Wang
대한수학회 (The Korean Mathematical Society)|2006.02|대한수학회보 (Bulletin of the KMS)|제43권 제1호|pp. 1-7

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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 $U\in GL_n(R)$.

참고문헌 (16)

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