Po-S-Dense Monomorphism

‎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.