Authors | H.Rasouli, H.Barzegar |
---|---|
Journal | Int. J. Industrial Mathematics |
Page number | 45-54 |
Serial number | 1 |
Volume number | 10 |
Paper Type | Full Paper |
Published At | 2017 |
Journal Grade | Scientific - research |
Journal Type | Typographic |
Journal Country | Iran, Islamic Republic Of |
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.