Note on classification of two-dimensional associative lattice-ordered real algebras

被引：1
|
作者：
Yang, Yichuan [1 ]
Zhang, Xiaohong [1 ]
机构：
[1] Beihang Univ, Dept Math, Beijing 100191, Peoples R China
来源：
SOFT COMPUTING | 2017年 / 21卷 / 10期
关键词：
Associative lattice-ordered real algebra; Archimedean; Non-Archimedean; NEGATIVE SQUARES; FIELDS; RINGS;
D O I：
10.1007/s00500-017-2580-0
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this note, we correct three non-trivial classes of Birkhoff-Pierce's classification of two-dimensional associative lattice-ordered real algebras.
引用
收藏
页码：2549 / 2552
页数：4
相关论文
共 50 条
  • [31] A NOTE ON LATERAL COMPLETIONS IN LATTICE-ORDERED GROUPS
    BYRD, RD
    LLOYD, JT
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY, 1969, 1 (2P2): : 358 - &
  • [32] Hopf Algebras and Associative Representations of Two-Dimensional Evolution Algebras
    Casado, Yolanda Cabrera
    Goncalves, Maria Inez Cardoso
    Goncalves, Daniel
    Barquero, Dolores Martin
    Gonzalez, Candido Martin
    Campos, Ivan Ruiz
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2025, 56 (01):
  • [33] Lattice-ordered matrix algebras containing positive cycles
    Jingjing Ma
    Yuehui Zhang
    Positivity, 2013, 17 : 299 - 307
  • [34] LATTICE-ORDERED ALGEBRAS THAT ARE SUBDIRECT PRODUCTS OF VALUATION DOMAINS
    HENRIKSEN, M
    LARSON, S
    MARTINEZ, J
    WOODS, RG
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 345 (01) : 195 - 221
  • [35] Lattice-ordered matrix algebras containing positive cycles
    Ma, Jingjing
    Zhang, Yuehui
    POSITIVITY, 2013, 17 (02) : 299 - 307
  • [36] Separable MV-algebras and lattice-ordered groups
    Marra, Vincenzo
    Menni, Matias
    JOURNAL OF ALGEBRA, 2024, 646 : 66 - 99
  • [37] Duality for Lattice-Ordered Algebras and for Normal Algebraizable Logics
    Hartonas C.
    Studia Logica, 1997, 58 (3) : 403 - 450
  • [38] A NOTE ON A RESULT OF I. GUSIC ON TWO INEQUALITIES IN LATTICE-ORDERED GROUPS
    Fechner, Wlodzimierz
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2015, 18 (03): : 887 - 892
  • [39] Invariant Theory for Non-Associative Real Two-Dimensional Algebras and Its Applications
    Dragomir Dokovic
    Kaiming Zhao
    Transformation Groups, 2004, 9 : 3 - 23
  • [40] Invariant theory for non-associative real two-dimensional algebras and its applications
    Dokovic, D
    Zhao, KM
    TRANSFORMATION GROUPS, 2004, 9 (01) : 3 - 23
12345