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
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
  • [1] The Leibniz algebras whose subalgebras are ideals
    Kurdachenko, Leonid A.
    Semko, Nikolai N.
    Subbotin, Igor Ya.
    OPEN MATHEMATICS, 2017, 15 : 92 - 100
  • [2] On Leibniz Algebras whose Subalgebras are Either Ideals or Self-Idealizing Subalgebras
    I. A. Kurdachenko
    O. O. Pypka
    I. Ya. Subbotin
    Ukrainian Mathematical Journal, 2021, 73 : 944 - 962
  • [3] On Leibniz Algebras whose Subalgebras are Either Ideals or Self-Idealizing Subalgebras
    Kurdachenko, I. A.
    Pypka, O. O.
    Subbotin, I. Ya
    UKRAINIAN MATHEMATICAL JOURNAL, 2021, 73 (06) : 944 - 962
  • [4] Abelian Subalgebras and Ideals of Maximal Dimension in Solvable Leibniz Algebras
    Ceballos, Manuel
    Towers, David A.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (02)
  • [5] Abelian Subalgebras and Ideals of Maximal Dimension in Solvable Leibniz Superalgebras
    Bouarroudj, Sofiane
    Calderon, Antonio J.
    Fernandez Ouaridi, Amir
    Navarro, Rosa Maria
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2024, 21 (03)
  • [6] Abelian Subalgebras and Ideals of Maximal Dimension in Solvable Leibniz Algebras
    Manuel Ceballos
    David A. Towers
    Mediterranean Journal of Mathematics, 2023, 20
  • [7] Fuzzy ideals and fuzzy subalgebras of Lie algebras
    Yehia, SE
    FUZZY SETS AND SYSTEMS, 1996, 80 (02) : 237 - 244
  • [8] Fuzzy Lie ideals and fuzzy Lie subalgebras
    Kim, CG
    Lee, DS
    FUZZY SETS AND SYSTEMS, 1998, 94 (01) : 101 - 107
  • [9] Correction to: On Leibniz Algebras Whose Subalgebras Are Either Ideals or Self-Idealizing Subalgebras
    L. A. Kurdachenko
    O. O. Pypka
    I. Ya. Subbotin
    Ukrainian Mathematical Journal, 2022, 73 : 1339 - 1339
  • [10] On the structure of Leibniz algebras whose subalgebras are ideals or core-free
    Chupordia, V. A.
    Kurdachenko, L. A.
    Semko, N. N.
    ALGEBRA AND DISCRETE MATHEMATICS, 2020, 29 (02): : 180 - 194