RADICALS OF PREFILTERS IN EQ-ALGEBRAS

被引：0
|
作者：
Gao, Xiao Li [1 ]
Xin, Xiao Long [1 ]
Wang, Jun Tao [2 ]
机构：
[1] Northwest Univ, Sch Math, Xian, Shaanxi, Peoples R China
[2] Xian Shiyou Univ, Sch Sci, Xian, Shaanxi, Peoples R China
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2019年 / 20卷 / 07期
基金：
中国国家自然科学基金;
关键词：
EQ-algebra; radical; prefilter; semi-maximal prefilter;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The crux of the matter of this essay is to explore the radical of a prefilter (R(W) for short) in EQ-algebras. To begin with, the notion of the radical of a prefilter is defined and R(W) with the help of an unary formula is characterized. After that, the relations between prefilters and radicals of prefilters are investigated. Finally, the definition of semi-maximal prefilters is given. That a (maximal, implicative, obstinate) prefilter is also a semi-maximal prefilter is obtained.
引用
收藏
页码：1443 / 1451
页数：9
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