计算机工程与应用 ›› 2008, Vol. 44 ›› Issue (2): 35-37.

• 学术探讨 • 上一篇    下一篇

NML代数的滤子及其结构

胡明娣1,2   

  1. 1.陕西师范大学 数学研究所,西安 710062
    2.安康学院 数学系,陕西 安康 725000
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2008-01-11 发布日期:2008-01-11
  • 通讯作者: 胡明娣

Structure of filters in NML algebras

HU Ming-di1,2   

  1. 1.Institute of Mathematics,Shaanxi Normal University,Xi’an 710062,China
    2.Department of Mathematics,Ankang College,Ankang,Shaanxi 725000,China
  • Received:1900-01-01 Revised:1900-01-01 Online:2008-01-11 Published:2008-01-11
  • Contact: HU Ming-di

摘要: 首先在NML代数上引入MP-滤子与素滤子的概念,进而讨论了滤子和素滤子的基本性质,最后在全体素滤子之集上建立了拓扑结构。

关键词: NML代数, MP-滤子, 素滤子, 拓扑空间

Abstract: NML algebras is the common base of MV-algebras and R0-algebras.Firstly the concepts of MP-filters and prime filter in NML algebras are introduced,and then topological structure of the set of all prime filters of NML algebras are discussed.

Key words: NML algebras, MP-filter, prime filter, topological space