[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2006.43.1.001

BOUNDED MATRICES OVER REGULAR RINGS

Wang Shuqin (DEPARTMENT OF MATHEMATICS, SHANDONG ECONOMIC UNIVERSITY)
Chen Huanyin (DEPARTMENT OF MATHEMATICS, ZHEJIANG NORMAL UNIVERSITY)

Publication Information

Bulletin of the Korean Mathematical Society / v.43, no.1, 2006 , pp. 1-7 More about this Journal

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;

Citations & Related Records

Times Cited By SCOPUS : 0

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