Fuzzy Leibniz Ideals and Fuzzy Leibniz Subalgebras

被引：0
|
作者：
Mansuroglu, Nil [1 ]
机构：
[1] Kirsehir Ahi Evran Univ, Dept Math, TR-40100 Kirsehir, Turkiye
来源：
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2024年 / 48卷 / 03期
关键词：
Fuzzy Leibniz subalgebra; Fuzzy Leibniz ideal; Interval-valued fuzzy Leibniz ideal; LIE IDEALS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper deals with applying the concept of fuzzy sets to Leibniz algebras in order to introduce and to study the descriptions of fuzzy Leibniz subalgebras and fuzzy Leibniz ideals. More concretely, our main goal is to introduce the notion of interval-valued fuzzy Leibniz ideals in Leibniz algebras. Additionally, we present some of their properties.
引用
收藏
页码：387 / 400
页数：14
相关论文
共 50 条
  • [31] On Leibniz Algebras Whose Centralizers Are Ideals
    Pratulananda Das
    Ripan Saha
    Indian Journal of Pure and Applied Mathematics, 2020, 51 : 1555 - 1571
  • [32] Quasi-ideals of Leibniz algebras
    Towers, David A.
    COMMUNICATIONS IN ALGEBRA, 2020, 48 (11) : 4569 - 4579
  • [33] Leibniz seminorms and best approximation from C*-subalgebras
    Rieffel, Marc A.
    SCIENCE CHINA-MATHEMATICS, 2011, 54 (11) : 2259 - 2274
  • [34] FUZZY PSEUDO SUBALGEBRAS AND IDEALS OF PSEUDO d-ALGEBRAS
    Jun, Young Bae
    Ahn, Sun Shin
    MATHEMATICA SLOVACA, 2015, 65 (03) : 429 - 450
  • [35] Properties of (3, 2)-fuzzy subalgebras/ideals of subtraction algebras
    Kumar, P. Senthil
    Deivamani, T.
    Rajesh, N.
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2023, 30 (02): : 116 - 121
  • [36] Leibniz seminorms and best approximation from C*-subalgebras
    RIEFFEL Marc A
    ScienceChina(Mathematics), 2011, 54 (11) : 2259 - 2274
  • [37] Leibniz seminorms and best approximation from C*-subalgebras
    Marc A. Rieffel
    Science China Mathematics, 2011, 54 : 2259 - 2274
  • [38] ON BIPOLAR FUZZY d-SUBALGEBRAS AND d-IDEALS
    Alshehri, Halimah
    Almuhaimeed, Areej
    JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2020, 45 (01): : 73 - 83
  • [39] LEIBNIZ ALGEBRAS, HAVING A DENSE FAMILY OF IDEALS
    Semko, N. N.
    Skaskiv, L., V
    Yarovaya, O. A.
    CARPATHIAN MATHEMATICAL PUBLICATIONS, 2020, 12 (02) : 451 - 460
  • [40] Weak c-ideals of Leibniz algebras
    Towers, David A.
    Ciloglu, Zekiye
    COMMUNICATIONS IN ALGEBRA, 2023, 51 (11) : 4676 - 4685
12345