Fuzzy subbialgebras and duality

被引：0
作者：
Chen, Wenjuan [1 ]
Ge, Wenxu [2 ]
机构：
[1] Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China
[2] N China Univ Water Resources & Elect Power, Coll Math & Informat Sci, Zhengzhou 450011, Henan, Peoples R China
来源：
UTILITAS MATHEMATICA | 2012年 / 87卷
基金：
中国国家自然科学基金;
关键词：
Fuzzy subalgebras; Fuzzy subcoalgebras; Fuzzy subbialgebras; Bialgebras; Dual; SUBALGEBRAS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the fuzzy subbialgebras of bialgebras were studied systematically. At first, the definition of a fuzzy subbialgebra was introduced, and the related properties were investigated detailedly. Then the dual of a fuzzy subbialgebra was also discussed, and the results showed that the dual of fuzzy strong subbialgebras are fuzzy strong subbialgebras.
引用
收藏
页码：13 / 20
页数：8
相关论文
共 50 条
  • [21] Duality theorems for stars and combs III: Undominated combs
    Buerger, Carl
    Kurkofka, Jan
    JOURNAL OF GRAPH THEORY, 2022, 100 (01) : 127 - 139
  • [22] On K-duality and redundancy of K-g-frames
    Zhong-Qi Xiang
    Ricerche di Matematica, 2024, 73 : 323 - 339
  • [23] A characterization of Pontryagin-van Kampen duality for locally convex spaces
    Bonales, FG
    Trigos-Arrieta, FJ
    Mendoza, RV
    TOPOLOGY AND ITS APPLICATIONS, 2002, 121 (1-2) : 75 - 89
  • [24] Partial duality for ribbon graphs, III: a Gray code algorithm for enumeration
    Gross, Jonathan L.
    Mansour, Toufik
    Tucker, Thomas W.
    JOURNAL OF ALGEBRAIC COMBINATORICS, 2021, 54 (04) : 1119 - 1135
  • [25] GRAPHICAL METHODS FOR TANNAKA DUALITY OF WEAK BIALGEBRAS AND WEAK HOPF ALGEBRAS
    McCurdy, Micah Blake
    THEORY AND APPLICATIONS OF CATEGORIES, 2012, 26 : 233 - 280
  • [26] Intuitionistic fuzzy Lie sub-superalgebras and intuitionistic fuzzy ideals
    Chen, Wenjuan
    Zhang, Shunhua
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (08) : 1645 - 1661
  • [27] Algebras of fuzzy sets
    Bosnjak, I.
    Madarasz, R.
    Vojvodic, G.
    FUZZY SETS AND SYSTEMS, 2009, 160 (20) : 2979 - 2988
  • [28] Topological Duality for Boolean Algebras with a Normal n-ary Monotonic Operator
    Sergio Arturo Celani
    Order, 2009, 26 : 49 - 67
  • [29] Topological Duality for Boolean Algebras with a Normal n-ary Monotonic Operator
    Celani, Sergio Arturo
    ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2009, 26 (01): : 49 - 67
  • [30] Schur-Weyl quasi-duality and (co)triangular Hopf quasigroups
    Shi, Guodong
    Wang, Shuanhong
    JOURNAL OF MATHEMATICAL PHYSICS, 2020, 61 (05)
12345