Strong Morita equivalence for ordered semigroups with local units

被引:0
|
作者
Lauri Tart
机构
[1] University of Tartu,Institute of Mathematics
来源
关键词
ordered semigroup; Morita context; semigroup enlargement; Cauchy completion; 06F05; 20M10;
D O I
暂无
中图分类号
学科分类号
摘要
We prove that partially ordered semigroups with local units are strongly Morita equivalent if and only if they have a joint enlargement, which in turn happens if and only if the Cauchy completions of the semigroups are equivalent.
引用
收藏
页码:29 / 43
页数:14
相关论文
共 50 条
  • [21] Fair semigroups and Morita equivalence
    Laan, Valdis
    Marki, Laszlo
    SEMIGROUP FORUM, 2016, 92 (03) : 633 - 644
  • [22] Morita equivalence of finite semigroups
    Ülo Reimaa
    Valdis Laan
    Lauri Tart
    Semigroup Forum, 2021, 102 : 842 - 860
  • [23] Morita equivalence for factorisable semigroups
    Chen, YQ
    Shum, KP
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2001, 17 (03): : 437 - 454
  • [24] A TOPOLOGICAL APPROACH TO MORITA EQUIVALENCE FOR RINGS WITH LOCAL UNITS
    ABRAMS, GD
    ANH, PN
    MARKI, L
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1992, 22 (02) : 405 - 416
  • [25] Morita equivalence of semigroups revisited: Firm semigroups
    Laan, Valdis
    Marki, Laszlo
    Reimaa, Uelo
    JOURNAL OF ALGEBRA, 2018, 505 : 247 - 270
  • [26] Morita equivalence for partially ordered monoids and po-Gamma-semigroups with unities
    Gupta, Sugato
    Sardar, Sujit Kumar
    ALGEBRA & DISCRETE MATHEMATICS, 2014, 18 (02): : 234 - 249
  • [27] Morita equivalence based on Morita context for arbitrary semigroups
    Liu, Hongxing
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2016, 45 (04): : 1083 - 1090
  • [28] GAMMA-RINGS AND MORITA EQUIVALENCE FOR RINGS WITH LOCAL UNITS
    PARVATHI, M
    ADHIKARI, PR
    COMMUNICATIONS IN ALGEBRA, 1985, 13 (03) : 585 - 598
  • [29] Morita Equivalence and Morita Duality for Rings with Local Units and the Subcategory of Projective Unitary Modules
    Ziba Fazelpour
    Alireza Nasr-Isfahani
    Applied Categorical Structures, 2024, 32
  • [30] Morita Equivalence and Morita Duality for Rings with Local Units and the Subcategory of Projective Unitary Modules
    Fazelpour, Ziba
    Nasr-Isfahani, Alireza
    APPLIED CATEGORICAL STRUCTURES, 2024, 32 (02)