Author/Authors :
Rasouli, H. Department of Mathematics - Science and Research Branch Islamic Azad University, Tehran, Iran , Moghaddasi, Gh. R. Department of Mathematics - Science and Research Branch Islamic Azad University, Tehran, Iran , Sarvghad, N. Department of Mathematics - Hakim Sabzevary University, Sabzevar, Iran
Abstract :
In this paper, we define the notion of regular prime monomorphism for S-posets over a pomonoid S and investigate some categorical properties including products, coproducts and pullbacks. We study M-injectivity in the category of S-posets where M is the class of regular prime monomorphisms and show that the Skornjakov criterion fails for the regular prime injectivity. Considering a weaker form of such kind of injectivity, we obtain some classifications for pomonoids.
