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
相关论文
共 50 条
  • [31] Representable good EQ-algebras
    El-Zekey, Moataz
    SOFT COMPUTING, 2010, 14 (09) : 1011 - 1023
  • [32] States on pseudo EQ-algebras
    Jie Qiong Shi
    Xiao Long Xin
    Rajab Ali Borzooei
    Soft Computing, 2022, 26 : 13219 - 13231
  • [33] IMPLICATION AND PRODUCTION GRAPHS ON EQ-ALGEBRAS
    Paad, Akbar
    TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, 2024, 178 (02) : 275 - 290
  • [34] Deductive Systems in Hyper EQ-Algebras
    Xiaoyun CHENG
    Xiaolong XIN
    Yongwei YANG
    JournalofMathematicalResearchwithApplications, 2017, 37 (02) : 183 - 193
  • [35] State operators on pseudo EQ-algebras
    Guo, Qing
    Xin, Xiao Long
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2022, 43 (01) : 1189 - 1202
  • [36] Finite direct products of EQ-algebras
    Jiang Yang
    Xiongwei Zhang
    Soft Computing, 2019, 23 : 7495 - 7504
  • [37] The generalized Bosbach states on EQ-algebras
    Zhang, Huarong
    Luo, Minxia
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2018, 35 (03) : 3773 - 3782
  • [38] Finite direct products of EQ-algebras
    Yang, Jiang
    Zhang, Xiongwei
    SOFT COMPUTING, 2019, 23 (17) : 7495 - 7504
  • [39] Constructing Some Logical Algebras from EQ-Algebras
    Borzooei, Rajab Ali
    Akhlaghinia, Narges
    Xin, Xiao Long
    Kologani, Mona Aaly
    FILOMAT, 2021, 35 (08) : 2747 - 2760
  • [40] On nodal filter theory of EQ-algebras
    Shi, Jie Qiong
    Xin, Xiao Long
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, (50): : 577 - 601
12345