计算机工程与应用 ›› 2009, Vol. 45 ›› Issue (13): 39-41.DOI: 10.3778/j.issn.1002-8331.2009.13.011

• 研究、探讨 • 上一篇    下一篇

BR0代数的关联MP滤子和布尔MP滤子

张秋霞,吴洪博,娄银华   

  1. 陕西师范大学 数学与信息科学学院,西安 710062
  • 收稿日期:2008-03-12 修回日期:2008-05-14 出版日期:2009-05-01 发布日期:2009-05-01
  • 通讯作者: 张秋霞

Correlative MP-filters and MP-filters in BR0-algebras

ZHANG Qiu-xia,WU Hong-bo,LOU Yin-hua   

  1. College of Mathematics and Informationg Science,Shaanxi Normal University,Xi’an 710062,China
  • Received:2008-03-12 Revised:2008-05-14 Online:2009-05-01 Published:2009-05-01
  • Contact: ZHANG Qiu-xia

摘要: 引入BR0代数的关联MP滤子。研究它的特征,证明如下主要结果:F是关联MP滤子,当且仅当F是布尔MP滤子。从而BR0代数成为Boole代数的充要条件是每个MP滤子均为布尔MP滤子或关联MP滤子。

Abstract: The notiong of correlative MP-filters in BR0-algebras is introduced,and their characterizations are investigated.On basic of these results,the main result is that F is correlative MP-filters iff F is Boolean MP-filters.Therefore,the sufficient and necessary conditions which make BR0-algebras becoming Boole-algebras are that every MP-filters is correlative or Boolean.