Po-S-Dense Monomorphism
الموضوعات : مجله بین المللی ریاضیات صنعتی
1 - Department of Mathematics, Tafresh university, Tafresh, Iran.
2 - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
الکلمات المفتاحية: &lrm, &lrm, $&lrm, S$-Poset&lrm, , &lrm, Colimit, &lrm, Limit&lrm, , Po-S-Dense&lrm, ,
ملخص المقالة :
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.
