Computer Engineering and Applications ›› 2007, Vol. 43 ›› Issue (5): 33-35.

• 学术探讨 • Previous Articles     Next Articles

Normal MP-filters and Boolean MP-filters of Basic R0-algebras

Mingdi Hu Guojun Wang   

  • Received:2006-06-16 Revised:1900-01-01 Online:2007-02-11 Published:2007-02-11
  • Contact: Mingdi Hu

基础R0-代数的正规MP-滤子和布尔MP-滤子

胡明娣 王国俊   

  1. 陕西师范大学数学与信息科学学院 陕西师范大学
  • 通讯作者: 胡明娣

Abstract: Basic R0-algebras is the common base of MV_algebras and R0_algebras. The present paper introduces the notions of normal MP-filters and Boolean MP-filters in basic R0_algebras (BR0_algebras for short). The relations between normal MP-filters and Boolean MP-filters are studied and their characterization properties are given. Moreover, the characterization theorem which captures normal BR0_algebras is obtained

Key words: Normal Basic R0-algebras, normal MP-filter , Boolean MP-filter.

摘要: BR0代数是MV代数和R0代数的共同基础,本文引入了BR0代数的正规MP滤子和布尔MP滤子,讨论了它们之间的关系,给出它们的特征性质,并且给出了刻画正规BR0代数的特征定理

关键词: 正规BR0代数, 正规MP滤子, 布尔MP滤子