GALOIS THEORIES OF COMMUTATIVE SEMIGROUPS VIA SEMILATTICES

被引：0
|
作者：
Xarez, Isabel A. [1 ]
Xarez, Joao J. [1 ]
机构：
[1] Univ Aveiro, CIDMA Ctr Res & Dev Math & Applicat, Dept Math, Aveiro, Portugal
来源：
THEORY AND APPLICATIONS OF CATEGORIES | 2013年 / 28卷
关键词：
Commutative semigroups; semilattices; admissible reflection; covering morphisms; stably-vertical morphisms; normal morphisms; inseparable-separable factorization; FACTORIZATION SYSTEMS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The classes of stably-vertical, normal, separable, inseparable, purely inseparable and covering morphisms, defined in categorical Galois theory, are characterized for the reflection of the variety of commutative semigroups into its subvariety of semilattices. It is also shown that there is an inseparable-separable factorization, but there is no monotone-light factorization.
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页码：1153 / 1169
页数：17
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