On properties of some nilpotent evolution algebras and their enveloping algebras

被引：1
|
作者：
Alarafeen, Ahmad [1 ]
Ahmad, Azhana [1 ]
Qaralleh, Izzat [2 ]
机构：
[1] Univ Sains Malaysia, Sch Math Sci, Usm 11800, Penang, Malaysia
[2] Tafila Tech Univ, Fac Sci, Dept Math, Tafila, Jordan
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2023年 / 22卷 / 12期
关键词：
Evolution algebra; nilpotent; derivation; enveloping algebras;
D O I：
10.1142/S0219498823502596
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider n-dimensional nilpotent finite-dimensional evolution algebras with non-maximal index of nilpotency. We give complete invariants of these algebras in order to classify them. Then, we describe their associative enveloping algebras. We also give a positive answer to the question whether a derivation of this nilpotent evolution algebra is possible to be extended to its enveloping algebra.
引用
收藏
页数：20
相关论文
共 50 条
  • [21] Some norms on universal enveloping algebras
    Gross, L
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1998, 50 (02): : 356 - 377
  • [22] Enveloping algebras of Filippov algebras
    Pojidaev, AP
    COMMUNICATIONS IN ALGEBRA, 2003, 31 (02) : 883 - 900
  • [23] On nilpotent properties of Leibniz algebras
    Patsourakos, Allexandros
    COMMUNICATIONS IN ALGEBRA, 2007, 35 (12) : 3828 - 3834
  • [24] Lie Properties of Restricted Enveloping Algebras
    Siciliano, Salvatore
    Usefi, Hamid
    LIE ALGEBRAS AND RELATED TOPICS, 2015, 652 : 141 - 152
  • [25] On nilpotent index and dibaricity of evolution algebras
    Casas, J. M.
    Ladra, M.
    Omirov, B. A.
    Rozikov, U. A.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 439 (01) : 90 - 105
  • [26] Some Classes of Nilpotent Associative Algebras
    Karimjanov, I. A.
    Ladra, M.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2020, 17 (02)
  • [27] Some properties of the c-nilpotent multiplier of Lie algebras
    Salemkar, Ali Reza
    Riyahi, Zahra
    JOURNAL OF ALGEBRA, 2012, 370 : 320 - 325
  • [28] PRIMITIVE FACTORS OF ENVELOPING-ALGEBRAS OF NILPOTENT LIE-SUPERALGEBRAS
    BELL, AD
    MUSSON, IM
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1990, 42 : 401 - 408
  • [29] Some Classes of Nilpotent Associative Algebras
    I. A. Karimjanov
    M. Ladra
    Mediterranean Journal of Mathematics, 2020, 17
  • [30] On some classes of nilpotent Leibniz algebras
    Ayupov, SA
    Omirov, BA
    SIBERIAN MATHEMATICAL JOURNAL, 2001, 42 (01) : 15 - 24
12345