计算机工程与应用 ›› 2008, Vol. 44 ›› Issue (20): 67-69.DOI: 10.3778/j.issn.1002-8331.2008.20.020

• 理论研究 • 上一篇    下一篇

R0代数中的正蕴涵MP滤子和固执MP滤子

吴苏朋   

  1. 安康学院 数学系,陕西 安康 725000
  • 收稿日期:2007-10-10 修回日期:2008-01-02 出版日期:2008-07-11 发布日期:2008-07-11
  • 通讯作者: 吴苏朋

Positive implicative and obstinate filters in R0-algebras

WU Su-peng   

  1. Department of Mathematics,Ankang College,Ankang,Shaanxi 725000,China
  • Received:2007-10-10 Revised:2008-01-02 Online:2008-07-11 Published:2008-07-11
  • Contact: WU Su-peng

摘要: R0代数中,给出布尔MP滤子的几种性质特征。提出正蕴涵MP滤子和固执MP滤子的概念,讨论了它们的一些性质定理。证明正蕴涵MP滤子与布尔MP滤子等价,固执MP滤子与MP超滤等价,同时也讨论了正蕴涵MP滤子和固执MP滤子的关系。

关键词: R0代数, 正蕴涵MP滤子, 固执MP滤子

Abstract: In R0-algebra,give some kinds of property characteristics of Boolean MP filter.Propose the concepts of a positive implicative MP filter and an obstinate MP filter.Discuss their some properties.Prove that the positive implicative MP filter is equivalent to the Boolean MP filter.Discuss the relation between the positive implicative MP filter.And the obstinate MP filter is also equivalent to the ultra MP filter.

Key words: R0-algebra, the positive implicative MP filter, the obstinate MP filter