CONGRUENCES OF STRONGLY MORITA EQUIVALENT POSEMIGROUPS

被引:0
|
作者
Targla, T. [1 ]
Laan, V. [2 ]
机构
[1] Estonian Univ Life Sci, Inst Technol, Kreutzwaldi 1, EE-51014 Tartu, Estonia
[2] Univ Tartu, Inst Math, EE-50090 Tartu, Estonia
来源
关键词
Posemigroup; Morita equivalence; congruence lattice;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that congruence lattices of strongly Morita equivalent posemi-groups with common joint weak local units are isomorphic. Moreover, the quotient posemigroups by the congruences that correspond to each other under this isomorphism are also strongly Morita equivalent.
引用
收藏
页码:247 / 254
页数:8
相关论文
共 50 条
  • [21] CATEGORICALLY MORITA EQUIVALENT COMPACT QUANTUM GROUPS
    Neshveyev, Sergey
    Yamashita, Makoto
    [J]. DOCUMENTA MATHEMATICA, 2018, 23 : 2165 - 2216
  • [22] Morita Equivalent Blocks in Subgroups of Finite Groups
    YANG Qinqin~1
    2. School of Mathematics and Statistics
    [J]. Wuhan University Journal of Natural Sciences, 2006, (03) : 469 - 472
  • [23] Morita equivalent unital locally matrix algebras
    Bezushchak, O.
    Oliynyk, B.
    [J]. ALGEBRA AND DISCRETE MATHEMATICS, 2020, 29 (02): : 173 - 179
  • [24] On strongly ordered congruences and decompositions of ordered semigroups
    Xie, Xiang-yun
    [J]. ALGEBRA COLLOQUIUM, 2008, 15 (04) : 589 - 598
  • [25] On Regular, Strongly Regular Congruences on Ordered Semigroups
    谢祥云
    [J]. 数学进展, 1998, (03)
  • [26] On regular, strongly regular congruences on ordered semigroups
    Xie, XY
    [J]. SEMIGROUP FORUM, 2000, 61 (02) : 159 - 178
  • [27] On Regular, Strongly Regular Congruences on Ordered Semigroups
    Xie Xiang-Yun
    [J]. Semigroup Forum, 2000, 61 (2) : 159 - 178
  • [28] On minimal strongly connected congruences of a directed path
    Mirzayanov, M. R.
    [J]. IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA, 2006, 6 (01): : 91 - 95
  • [29] Strongly stratifying ideals, Morita contexts and Hochschild homology
    Cibils, Claude
    Lanzilotta, Marcelo
    Marcos, Eduardo N.
    Solotar, Andrea
    [J]. JOURNAL OF ALGEBRA, 2024, 639 : 120 - 149
  • [30] Strongly Prime Gamma Rings and Morita Equivalence Of Rings
    Selvaraj, C.
    Petchimuthu, S.
    George, R.
    [J]. SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2008, 32 (06) : 1137 - 1147