计算机工程与应用 ›› 2009, Vol. 45 ›› Issue (36): 38-39.DOI: 10.3778/j.issn.1002-8331.2009.36.012

• 研究、探讨 • 上一篇    下一篇

R0代数中的模糊正规滤子

詹婉荣,于 海   

  1. 洛阳师范学院 数学科学学院,河南 洛阳 471022
  • 收稿日期:2009-08-11 修回日期:2009-10-26 出版日期:2009-12-21 发布日期:2009-12-21
  • 通讯作者: 詹婉荣

Fuzzy normal filters of R0-algebras

ZHAN Wan-rong,YU Ha   

  1. College of Mathematics and Science,Luoyang Normal College,Luoyang,Henan 471022,China
  • Received:2009-08-11 Revised:2009-10-26 Online:2009-12-21 Published:2009-12-21
  • Contact: ZHAN Wan-rong

摘要: R0代数中引入模糊正规滤子的概念,给出其充要条件,得到了模糊正规滤子的扩张性质,讨论了模糊正规滤子与模糊滤子、截集之间的关系,最后,用模糊正规滤子刻画了正规R0代数M和正规商R0代数M/f

Abstract: The concept of fuzzy normal filters is introduced in R0-algebras.Some sufficient and necessary conditions of them are given.Moreover,the extension property of fuzzy normal filters is obtained.The relations are discussed between fuzzy normal filters and fuzzy filters,the cut sets.Finally,the characterizations of normal R0-algebras M and normal quotient R0-algebras M/f are given using fuzzy normal filters.

中图分类号: