Morita theorems for partially ordered monoids

被引：8
作者：
Laan, Valdis [1 ]
机构：
[1] Univ Tartu, Inst Math, EE-50090 Tartu, Estonia
来源：
PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES | 2011年 / 60卷 / 04期
关键词：
pomonoid; Morita equivalence; S-poset; Morita context; FLAT S-POSETS; SEMIGROUPS; CATEGORY;
D O I：
10.3176/proc.2011.4.03
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Two partially ordered monoids S and T are called Morita equivalent if the categories of right S-posets and right T-posets are Pos-equivalent as categories enriched over the category Pos of posets. We give a description of Pos-prodense biposets and prove Morita theorems I, II, and III for partially ordered monoids.
引用
收藏
页码：221 / 237
页数：17
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