Po-S-Dense Monomorphism.

In this paper we take A to be the category Pos-S of S-posets, for a posemigroup S, Mpd 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. Also we show that it is actually equivalent to Cpd-density resulting from a closure operator. [ABSTRACT FROM AUTHOR]