On the homomorphisms of power-set Q-algebras

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• 作者：Shengwei Han ; Fangfang Pan
• 关键词：Ordered semigroup ; Quantale ; Q ; algebra ; Power ; set Q ; algebra ; Q ; algebra homomorphism ; Decomposed ul ; relation
• 刊名：Semigroup Forum
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：94
• 期：1
• 页码：80-92
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Algebra;
• 出版者：Springer US
• ISSN：1432-2137
• 卷排序：94

文摘

We continue the study of homomorphisms between power-set Q-algebras. First, by means of decomposed ul-Q-relations between ordered semigroups we give a general characterization for the homomorphisms between power-set Q-algebras. Also, we consider a new category OSGRP whose objects are ordered semigroups and whose morphisms are decomposed ul-Q-relations, and discuss the relationship between the category OSGRP and the category Q-Alg of Q-algebras.