计算机工程与应用 ›› 2009, Vol. 45 ›› Issue (12): 36-37.DOI: 10.3778/j.issn.1002-8331.2009.12.011

• 研究、探讨 • 上一篇    下一篇

BR0代数中的次极大×滤子

李小杰,吴洪博   

  1. 陕西师范大学 数学与信息科学学院,西安 710062
  • 收稿日期:2008-03-07 修回日期:2008-05-12 出版日期:2009-04-21 发布日期:2009-04-21
  • 通讯作者: 李小杰

Submaximal filter of BR0-Algebras

LI Xiao-jie,WU Hong-bo   

  1. College of Mathematics and Information Science,Shaanxi Normal University,Xi’an 710062,China
  • Received:2008-03-07 Revised:2008-05-12 Online:2009-04-21 Published:2009-04-21
  • Contact: LI Xiao-jie

摘要: 首先在BR0代数M中引入×滤子,然后又给出了M中次极大×滤子的概念,并讨论了它的性质,得到了BR0代数中的每个×滤子都可表示为一些次极大×滤子的交的结果。特别地,在满足×滤子降链条件的BR0代数中,每个×滤子都可表示为有限个次极大×滤子的交。

关键词: BR0代数, ×滤子, 次极大×滤子

Abstract: × filter is defined by introducing × operator in BR0-algebras,and based on that the concept of submaximal × filter is given.Some properties are discussed,and the follow theorem is obtained,every × filter of BR0-algebras M can be represented as intersection of some submaximal ×.Specially in the BR0-algebras with descending chain condition of × filters,every × filter can be represented as finite intersection of submaximal filters.

Key words: BR0-algebras, × filter, submaximal × filter