TY - JOUR
ID - 166
TI - NETS AND SEPARATED S-POSETS
JO - Journal of Algebraic Systems
JA - JAS
LA - en
SN - 2345-5128
AU - Haddadi, Mahdieh
AD - Department of Mathematics, Faculty of Mathematics, Statistics and computer science, Semnan University, Semnan, Iran.
Y1 - 2013
PY - 2013
VL - 1
IS - 1
SP - 33
EP - 43
KW - $S$-poset
KW - Separated $S$-poset
KW - Separation axioms
DO - 10.22044/jas.2013.166
N2 - 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.
UR - https://jas.shahroodut.ac.ir/article_166.html
L1 - https://jas.shahroodut.ac.ir/article_166_38e125e00d02238374d1cc0c2152786e.pdf
ER -