Semigroups strongly Morita equivalent to monoids

被引：0

作者：

Alvin Lepik

机构：

[1] University of Tartu Institute of Mathematics and Statistics,

来源：

Periodica Mathematica Hungarica | 2022年 / 85卷

关键词：

Semigroup; Monoid; Morita context; Morita equivalence; Enlargement; 20M30;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider semigroups strongly Morita equivalent to a fixed monoid. We prove that such semigroups are precisely the enlargements of that monoid. We also show that enlargements of a given group are precisely the Rees matrix semigroups over that group.

引用

页码：171 / 176

页数：5

共 50 条

[31] Morita equivalence of inverse semigroups
B. Afara
M. V. Lawson
[J]. Periodica Mathematica Hungarica, 2013, 66 : 119 - 130
[32] Strongly Morita Loosenesses
Á. Császár
[J]. Acta Mathematica Hungarica, 1999, 85 : 297 - 309
[33] Morita equivalence of inverse semigroups
Afara, B.
Lawson, M. V.
[J]. PERIODICA MATHEMATICA HUNGARICA, 2013, 66 (01) : 119 - 130
[34] Fair semigroups and Morita equivalence
Laan, Valdis
Marki, Laszlo
[J]. SEMIGROUP FORUM, 2016, 92 (03) : 633 - 644
[35] Morita Theory for Rings and Semigroups
Wang, Yan Hui
Shum, Kar Ping
Ren, Xue Ming
[J]. EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2013, 6 (03): : 256 - 281
[36] Morita equivalence for factorisable semigroups
Chen, YQ
Shum, KP
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2001, 17 (03): : 437 - 454
[37] A note on Morita invariants of semigroups
Sardar, Sujit Kumar
Gupta, Sugato
[J]. SEMIGROUP FORUM, 2016, 92 (01) : 71 - 76
[38] On algebraic semigroups and monoids, II
Michel Brion
[J]. Semigroup Forum, 2014, 88 : 250 - 272
[39] Morita equivalence of finite semigroups
Ülo Reimaa
Valdis Laan
Lauri Tart
[J]. Semigroup Forum, 2021, 102 : 842 - 860
[40] ON SCHUTZENBERGER MONOIDS IN TRANSFORMATIONS SEMIGROUPS
KOSSACZKY, I
[J]. SEMIGROUP FORUM, 1989, 39 (02) : 195 - 201

← 1 2 3 4 5 →