Title of article :
Po-S-Dense Monomorphism
Author/Authors :
Barzegar, H. Department of Mathematics - Tafresh university, Tafresh, Iran , Rasouli ,H. Department of Mathematics - Science and Research Branch, Islamic Azad University, Tehran, Iran
Abstract :
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.
Keywords :
Po-S-Dense , Semigroup , Limit , Colimit
Journal title :
Astroparticle Physics
