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On exchange rings with primitive factor rings artinian |
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| Authors: | Chan Huh Nam Kyun Kim Yang Lee |
| Affiliation: | 1. Department of Mathematics , Busan National University , Busan, 609-735, South Korea E-mail: chuh@hyowon.cc.pusan.ac.kr;2. Department of Mathematics , Kyung Hee University , Seoul, 130-701, South Korea E-mail: nkkim@nms.kyunghee.ac.kr;3. Department of Mathematics Education , Busan National University , Busan, 609-735, South Korea E-mail: ylee@hyowon.cc.pusan.ac.kr |
| Abstract: | Abstract In this paper we introduce generalized ideal-stable regular rings. It is shown that if a regular ring R is a generalized I-stable ring, then every square matrix over I is the product of an idempotent matrix and an generalized invertible matrix and admits a diagonal reduction by some generalized invertible matrices. |
| Keywords: | Exchange Rings Clean Rings Pi-Rings Quasi-Duo Rings |