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ON QB-IDEALS OF EXCHANGE RINGS

Chen, Huanyin

  • Published : 2009.09.30

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

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