IS-代数的伴侣半环

J4 ›› 2011, Vol. 46 ›› Issue (12): 66-69.

IS-代数的伴侣半环

杨闻起

宝鸡文理学院数学系，陕西宝鸡 721013

收稿日期:2010-10-30 出版日期:2011-12-20 发布日期:2011-12-24
作者简介:杨闻起(1962- ),男，教授，硕士，研究方向为代数.Email:baojiywq@126.com
基金资助:
陕西省自然科学基金资助项目(2010JM1016);宝鸡文理学院重点科研基金资助项目(ZK0913)

The companion semi-rings of IS-algebras

YANG Wen-qi

Department of Mathematics, Baoji University of Arts and Sciences, Baoji 721013, Shaanxi, China

Received:2010-10-30 Online:2011-12-20 Published:2011-12-24

摘要/Abstract

摘要：

引入了IS-代数(BCI-半群)的伴侣半环和环部分的概念,通过讨论它们的性质,表明了一般IS-代数与环和半环之间的紧密联系,并用它们刻画了几类IS-代数。

关键词: BCI-代数;IS-代数;伴侣半环;环部分;理想

Abstract:

The companion semi-rings and the ring parts of IS-algebras are introduced. By discussing their properties, the relations between the general IS-algebras and the semi-rings or rings are shown, and some IS-algebras are characterized.

Key words: BCI-algebra; IS-algebra; companion semi-ring; ring part; ideal

杨闻起. IS-代数的伴侣半环[J]. J4, 2011, 46(12): 66-69.

YANG Wen-qi. The companion semi-rings of IS-algebras[J]. J4, 2011, 46(12): 66-69.

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