A Description of Derivations of a Class of Nilpotent Evolution Algebras

被引:0
作者
Qaralleh, I [1 ]
机构
[1] Tafila Tech Univ, Fac Sci, Dept Math, Tafila 66110, Jordan
来源
MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES | 2020年 / 14卷 / 02期
关键词
Nilpotent; evolution algebra and derivation;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
As a system of abstract algebra,evolution algebras are non associative algebras. There is no deep structure theorem for general non associative algebra. However, there are deep structure theorem and classification theorem for evolution algebras because it has been introduced concepts of dynamical systems to evolution algebras.In the Mukhamedov et al. (2019) ,they have been studied some properties of nilpotent evolution algebra E with dim E-2 = dim E - 1(maximal nilindex). In this paper, we describe derivations of nilpotent finite-dimensional evolution algebras E with dim E-2 = dim E - 2.
引用
收藏
页码:295 / 304
页数:10
相关论文
共 16 条
  • [1] Classification of three-dimensional evolution algebras
    Cabrera Casado, Yolanda
    Siles Molina, Mercedes
    Victoria Velasco, M.
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 524 : 68 - 108
  • [2] The derivations of some evolution algebras
    Camacho, L. M.
    Gomez, J. R.
    Omirov, B. A.
    Turdibaev, R. M.
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2013, 61 (03) : 309 - 322
  • [3] Camacho L. M., 2010, ARXIV10041987
  • [4] On Evolution Algebras
    Casas, J. M.
    Ladra, M.
    Omirov, B. A.
    Rozikov, U. A.
    [J]. ALGEBRA COLLOQUIUM, 2014, 21 (02) : 331 - 342
  • [5] COSTA R, 1982, BOL SOC BRAS MAT, V13, P69, DOI DOI 10.1007/BF02584678
  • [6] COSTA R, 1983, BOL SOC BRAS MAT, V14, P63, DOI DOI 10.1007/BF02584745
  • [7] On nilpotent evolution algebras
    Elduque, Alberto
    Labra, Alicia
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 505 : 11 - 31
  • [8] DERIVATIONS IN GENETIC ALGEBRAS
    GONSHOR, H
    [J]. COMMUNICATIONS IN ALGEBRA, 1988, 16 (08) : 1525 - 1542
  • [9] Nilpotent evolution algebras over arbitrary fields
    Hegazi, A. S.
    Abdelwahab, Han
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 486 : 345 - 360
  • [10] Hegazi AS, 2015, ARXIV150807442