Functional Train Algebras of Rank ≤ 3

被引：0
|
作者：
Bayara, Joseph [1 ]
Coulibaly, Siaka [1 ]
机构：
[1] Nazi Boni Univ, Dept Math & Comp Sci, Bobo Dioulasso, Burkina Faso
来源：
CONTEMPORARY MATHEMATICS | 2024年 / 5卷 / 03期
关键词：
baric algebra; train algebra; idempotent element; nilpotent element; Peirce decomposition; VARIETIES;
D O I：
10.37256/cm.5320244575
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we show that every baric algebra satisfying a functional train identity of rank <= 3 and admitting an idempotent is a special train algebra. The functional train equation of train algebras of rank 3 is given. Some examples are also given.
引用
收藏
页码：2668 / 2679
页数：12
相关论文
共 50 条
  • [41] THE HIGHER RANK VIRASORO ALGEBRAS
    PATERA, J
    ZASSENHAUS, H
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1991, 136 (01) : 1 - 14
  • [42] The generator rank of C*-algebras
    Thiel, Hannes
    JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 280 (04)
  • [43] ALGEBRAS OF OPERATORS OF FINITE RANK
    WANG, SP
    JOURNAL OF FUNCTIONAL ANALYSIS, 1978, 30 (01) : 60 - 73
  • [44] ON THE RANK OF OPERATORS IN REFLEXIVE ALGEBRAS
    LAMBROU, MS
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1990, 142 : 211 - 235
  • [45] DETERMINANT RANK OF C*-ALGEBRAS
    Gong, Guihua
    Lin, Huaxin
    Xue, Yifeng
    PACIFIC JOURNAL OF MATHEMATICS, 2015, 274 (02) : 405 - 436
  • [46] ON ASSOCIATIVE ALGEBRAS OF MINIMAL RANK
    HEINTZ, J
    MORGENSTERN, J
    LECTURE NOTES IN COMPUTER SCIENCE, 1986, 228 : 1 - 24
  • [47] ON THE LOEWY RANK OF INFINITE ALGEBRAS
    KISS, EW
    ALGEBRA UNIVERSALIS, 1992, 29 (03) : 437 - 440
  • [48] !On the algebras of almost minimal rank
    Lysikov, V. V.
    DISCRETE MATHEMATICS AND APPLICATIONS, 2012, 22 (5-6): : 493 - 510
  • [49] Bounded rank of C*-algebras
    Chigogidze, A
    Valov, V
    TOPOLOGY AND ITS APPLICATIONS, 2004, 140 (2-3) : 163 - 180
  • [50] On the combinatorial rank of Hopf algebras
    Kharchenko, VK
    Alvarez, AA
    ALGEBRAIC STRUCTURES AND THEIR REPRESENTATIONS, 2005, 376 : 299 - 308
12345