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J4 ›› 2011, Vol. 46 ›› Issue (4): 53-56.

• 论文 • 上一篇    下一篇

IS-代数的特征数

杨闻起   

  1. 宝鸡文理学院数学系, 陕西 宝鸡 721013
  • 收稿日期:2010-01-29 发布日期:2011-04-21
  • 作者简介:杨闻起(1962- ),男,教授,研究方向为代数学. 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)

Characteristic numbers of IS-algebras

YANG Wen-qi   

  1. Department of Mathematics, Baoji University of Arts and Sciences, Baoji 721013, Shaanxi, China
  • Received:2010-01-29 Published:2011-04-21

摘要:

引入了IS-代数的特征数的概念,讨论了它的性质;给出了IS-代数的特征数与环的特征数之间的关系,并用特征数刻画了无零因子、BCK和拟结合的IS-代数。

关键词: BCI-代数;IS-代数;阶;特征数

Abstract:

The concept of characteristic numbers of IS-algebras is introduced, its properties are discussed; The relationship between characteristic numbers of ISalgebras and the characteristic numbers of rings is given, and three kinds of IS-algebras are characterized by the characteristic numbers.

Key words: BCI-algebra; IS-algebra; order; characteristic number

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