Categorical properties of regular monomorphisms of $S$-posets
Keywords:
$S$-poset, regular monomorphismAbstract
Recall that monomorphisms in some categories such as the category of posets, and the category of topological spaces, are not necessarily embeddings. The notion of regular monomorphism, solves this problem in these two categories. We have the same situation in the category {\bf Pos-$S$} of $S$-posets; that is posets with an action of a pomonoid $S$ which preserves the order. In this category, regular monomorphisms exactly determine sub $S$-posets. In this paper, we study some categorical properties of regular monomorphisms in the category of $S$-posets with action-preserving monotone maps.Downloads
Published
2014-05-08
License
Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.
European Journal of Pure and Applied Mathematics will be Copyright Holder.
How to Cite
Categorical properties of regular monomorphisms of $S$-posets. (2014). European Journal of Pure and Applied Mathematics, 7(2), 166-178. https://www.ejpam.com/index.php/ejpam/article/view/1871