%0 Journal Article
%T NETS AND SEPARATED S-POSETS
%J Journal of Algebraic Systems
%I Shahrood University of Technology
%Z 2345-5128
%A Haddadi, Mahdieh
%D 2013
%\ 09/15/2013
%V 1
%N 1
%P 33-43
%! NETS AND SEPARATED S-POSETS
%K $S$-poset
%K Separated $S$-poset
%K Separation axioms
%R 10.22044/jas.2013.166
%X Nets, useful topological tools, used to generalize certain concepts that may only be general enough in the context of metricspaces. In this work we introduce this concept in an $S$-poset, a poset with an action of a posemigroup $S$ on it whichis a very useful structure in computer sciences and interesting for mathematicians, and give the the concept of $S$-net. Using $S$-nets and its convergency we also give some characterizations of separated $S$-posets. Also, introducing the net-closure operators, we investigate the counterparts of topological separation axioms on $S$-posets and study their relation to separated $S$-posets.
%U https://jas.shahroodut.ac.ir/article_166_38e125e00d02238374d1cc0c2152786e.pdf