[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2009.46.5.873

ON QB-IDEALS OF EXCHANGE RINGS

Chen, Huanyin (DEPARTMENT OF MATHEMATICS HANGZHOU NORMAL UNIVERSITY)

Publication Information

Bulletin of the Korean Mathematical Society / v.46, no.5, 2009 , pp. 873-884 More about this Journal

Abstract

We characterize QB-ideals of exchange rings by means of quasi-invertible elements and annihilators. Further, we prove that every $2\times2$ matrix over such ideals of a regular ring admits a diagonal reduction by quasi-inverse matrices. Prime exchange QB-rings are studied as well.

Keywords

QB-ideal; exchange ring; annihilator; diagonal reduction;

Citations & Related Records

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