ALMOST INNER DERIVATIONS OF LEIBNIZ ALGEBRAS

被引：0
|
作者：
Mansurog, Nil [1 ]
Ozkaya, Mucahit [1 ]
机构：
[1] Kirsehir Ahi Evran Univ, Dept Math, Kireshir, Turkiye
来源：
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2024年 / 73卷 / 04期
关键词：
Leibniz algebra; derivation; almost inner derivation;
D O I：
10.31801/cfsuasmas.1485446
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This work is presented the study on almost inner derivations of Leibniz algebras. In this note, we demonstrate the natural extensions of some general properties on derivations given for Lie algebras to Leibniz algebras with finite dimension, and also we investigate which statements a mapping have to hold to be an almost inner derivation.
引用
收藏
页码：969 / 981
页数：13
相关论文
共 50 条
  • [21] Derivations and local derivations on Freudenthal almost f-algebras
    Toumi, Mohamed Ali
    EXPOSITIONES MATHEMATICAE, 2010, 28 (03) : 269 - 275
  • [22] Local and 2-Local Derivations of p-Filiform Leibniz Algebras
    Ayupov S.A.
    Kudaibergenov K.K.
    Yusupov B.B.
    Journal of Mathematical Sciences, 2020, 245 (3) : 359 - 367
  • [23] Local and 2-local derivations of solvable Leibniz algebras
    Ayupov, Shavkat
    Khudoyberdiyev, Abror
    Yusupov, Bakhtiyor
    INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2020, 30 (06) : 1185 - 1197
  • [24] Lie algebras with almost constant-free derivations
    Khukhro, E. I.
    Shumyatsky, P.
    JOURNAL OF ALGEBRA, 2006, 306 (02) : 544 - 551
  • [25] Local and 2-Local Derivations and Automorphisms on Simple Leibniz Algebras
    Shavkat Ayupov
    Karimbergen Kudaybergenov
    Bakhrom Omirov
    Bulletin of the Malaysian Mathematical Sciences Society, 2020, 43 : 2199 - 2234
  • [26] Local and 2-Local Derivations and Automorphisms on Simple Leibniz Algebras
    Ayupov, Shavkat
    Kudaybergenov, Karimbergen
    Omirov, Bakhrom
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2020, 43 (03) : 2199 - 2234
  • [27] Norms of inner derivations for multiplier algebras of C*-algebras and group C*-algebras, II
    Archbold, Robert J.
    Kaniuth, Eberhard
    Somerset, Douglas W. B.
    ADVANCES IN MATHEMATICS, 2015, 280 : 225 - 255
  • [28] CLASSIFICATION AND DERIVATIONS OF FOUR-DIMENSIONAL ALMOST BERNSTEIN ALGEBRAS
    Beremwidougou, Paul
    Conseibo, Andre
    JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2022, 56 : 1 - 25
  • [29] On complete Leibniz algebras
    Ayupov, Sh A.
    Khudoyberdiyev, A. Kh
    Shermatova, Z. Kh
    INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2022, 32 (02) : 265 - 288
  • [30] Order bounded local derivations on Archimedean almost f-algebras
    Toumi, Mohamed Ali
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2009, 58 (03) : 337 - 344
12345