Po-S-Dense Monomorphism

چکیده مقاله

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.