Various kinds of regular injectivity for $S$-posets

Document Type : Research Paper


1 University of Maragheh

2 Shahid Beheshti University


‎In this paper some properties of weak regular injectivity for $S$-posets‎,
‎where $S$ is a pomonoid‎, ‎are studied‎. ‎The behaviour‎
‎of different kinds of weak regular injectivity with products‎, ‎coproducts and direct sums is considered‎. ‎Also‎, ‎some‎
‎characterizations of pomonoids over which all $S$-posets are of‎
‎some kind of weakly regular injective are obtained‎. ‎Further‎, ‎we‎
‎give some Baer conditions which state the relation among some‎
‎kinds of weak regular injectivity‎.


Main Subjects