Peirce Decompositions for Evolution Algebras

被引：0
|
作者：
Paniello, Irene [1 ]
机构：
[1] Univ Publ Navarra, Dept Stat Comp Sci & Math, Campus Arrosadia, Pamplona 31006, Spain
来源：
MATHEMATICA SLOVACA | 2023年 / 73卷 / 06期
关键词：
Evolution algebra; Peirce decomposition; Baric algebra;
D O I：
10.1515/ms-2023-0103
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We address Peirce decompositions for evolution algebras at idempotent elements contained in the associative nucleus of the evolution algebras. If the idempotent elements are natural vectors, the requirement of being nuclear is then proved to be equivalent to the evolution algebra to be baric. A description of baric evolution algebras is also provided.
引用
收藏
页码：1423 / 1434
页数：12
相关论文
共 50 条
  • [41] On Certain Decompositions of Solvable Lie Algebras
    Towers, David A.
    JOURNAL OF LIE THEORY, 2014, 24 (04) : 969 - 978
  • [42] Subdirect decompositions of lattice effect algebras
    Riecanová, Z
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2003, 42 (07) : 1415 - 1423
  • [43] Decompositions of preduals of JBW and JBW algebras
    Bohata, Martin
    Hamhalter, Jan
    Kalenda, Ondrej F. K.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 446 (01) : 18 - 37
  • [44] Hadamard decompositions of semisimple associative algebras
    Ivanov, DN
    RUSSIAN MATHEMATICAL SURVEYS, 2003, 58 (04) : 789 - 790
  • [45] Computing Levi decompositions in Lie algebras
    de Graaf, W.A.
    Ivanyos, G.
    Kuronya, A.
    Ronyai, L.
    Applicable Algebra in Engineering, Communications and Computing, 1997, 8 (04): : 291 - 303
  • [46] DECOMPOSITIONS OF OPERATOR ALGEBRAS .1.
    SEGAL, IE
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1950, 56 (03) : 245 - 246
  • [47] Simple decompositions of simple Jordan algebras
    Tvalavadze, MV
    Tvalavadze, TV
    COMMUNICATIONS IN ALGEBRA, 2005, 33 (07) : 2403 - 2421
  • [48] Hadamard Decompositions of Nearly Commutative Algebras
    Ivanov, D. N.
    MATHEMATICAL NOTES, 2018, 103 (3-4) : 583 - 588
  • [49] Special Decompositions of Products in Table Algebras
    Arad, Zvi
    Cohen, Efi
    ALGEBRA COLLOQUIUM, 2009, 16 (01) : 1 - 16
  • [50] PEIRCE AND EVOLUTION, COMMENT ON OHEAR
    GOMILA, A
    INQUIRY-AN INTERDISCIPLINARY JOURNAL OF PHILOSOPHY, 1990, 33 (04): : 447 - 452
12345