Po-S-Dense Monomorphism

Subject Areas : International Journal of Industrial Mathematics

H. Barzegar ¹ , H. Rasouli ²

1 - Department of Mathematics, Tafresh university, Tafresh, Iran.
2 - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.

Received: 2016-07-09 Accepted : 2016-12-03 Published : 2018-01-01

Keywords: &lrm, &lrm, $&lrm, S$-Poset&lrm, , &lrm, Colimit, &lrm, Limit&lrm, , Po-S-Dense&lrm, ,

Abstract :

‎In this paper we take $\mathcal A$ to be the category {\bf Pos-S}‎ ‎of $S$-posets‎, ‎for a posemigroup $S$‎, ${\mathcal M}_{pd}$ to‎ ‎be the class of partially ordered sequantially-dense‎ ‎monomorphisms and study the categorical properties‎, ‎such as‎ ‎limits and colimits‎, ‎of this class‎. ‎These properties are usually‎ ‎needed to study the homological notions‎, ‎such as injectivity‎, ‎of‎ ‎$S$-posets‎.