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http://dx.doi.org/10.4134/BKMS.2005.42.1.045

ON EXCHANGE qb-IDEALS

CHEN, HUANYIN (Department of Mathematics, Zhejiang Normal University)
CHEN, MIAOSEN (Department of Mathematics, Zhejiang Normal University)

Publication Information

Bulletin of the Korean Mathematical Society / v.42, no.1, 2005 , pp. 45-51 More about this Journal

Abstract

In this paper, we establish necessary and sufficient conditions for an exchange ideal to be a qb-ideal. It is shown that an exchange ideal I of a ring R is a qb-ideal if and only if when-ever $a{\simeq}b$ via I, there exists u ${\in} I_q^{-1}$ such that a = $ubu_q^{-1}$ and b = $u_q^{-1}$ . This gives a generalization of the corresponding result of exchange QB-rings.

Keywords

exchange ideal; qb-ideal;

Citations & Related Records

Reference

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