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可除BR0代数及其消去律性质

崔艳丽 吴洪博

云南师范大学学报(自然科学版)2018,Vol.38Issue(2):27-33,7.
云南师范大学学报(自然科学版)2018,Vol.38Issue(2):27-33,7.DOI:10.7699/j.ynnu.ns-2018-019

可除BR0代数及其消去律性质

Divisible BR0 Algebra and It's Cancellation Law

崔艳丽 1吴洪博2

作者信息

  • 1. 陕西师范大学 数学与信息科学学院,陕西 西安 710062
  • 2. 汉中职业技术学院 基础教学部,陕西 汉中 723000
  • 折叠

摘要

Abstract

The basic concepts and properties of BR0 algebra and commutative BR0 algebra are researched.Firstly,by weakening the commutativity condition and deleting the boundedness,the regularity and contraposition of commutative BR0 algebra,the concept of the divisible BR0 algebra is introduced.Secondly,through the further study of its properties,the equivalence of the divisible BR0 algebra structure and commutative BR0 algebra is proved.Finally,further explore the properties of divisible BR0 algebra is explored and it can be proved that the cancellation law of implication is true in divisible BR0 algebra.

关键词

BR0代数/可换BR0代数/可除BR0代数/消去律

Key words

BR0 algebra/Commutative BR0 algebra/Divisible BR0 algebra/Cancellation law

分类

数理科学

引用本文复制引用

崔艳丽,吴洪博..可除BR0代数及其消去律性质[J].云南师范大学学报(自然科学版),2018,38(2):27-33,7.

基金项目

国家自然科学基金资助项目(61572016) (61572016)

中央高校基本科研业务费专项基金资助项目(GK201501001). (GK201501001)

云南师范大学学报(自然科学版)

OACSTPCD

1007-9793

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