ON QB-IDEALS OF EXCHANGE RINGS

Title & Authors
ON QB-IDEALS OF EXCHANGE RINGS
Chen, Huanyin;

Abstract
We characterize QB-ideals of exchange rings by means of quasi-invertible elements and annihilators. Further, we prove that every $\small{2\times2}$ 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;
Language
English
Cited by
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