국가지식-학술정보
ON EXCHANGE qb-IDEALS
ON EXCHANGE qb-IDEALS
- 대한수학회
- Bulletin of the Korean Mathematical Society
- Vol.42 No.1
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2005.0145 - 51 (7 pages)
- 0
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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.
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