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.
Shahbaz, L., & Mahmoudi, M. (2014). Various kinds of regular injectivity for $S$-posets. Bulletin of the Iranian Mathematical Society, 40(1), 243-261.
MLA
Leila Shahbaz; Mojgan Mahmoudi. "Various kinds of regular injectivity for $S$-posets". Bulletin of the Iranian Mathematical Society, 40, 1, 2014, 243-261.
HARVARD
Shahbaz, L., Mahmoudi, M. (2014). 'Various kinds of regular injectivity for $S$-posets', Bulletin of the Iranian Mathematical Society, 40(1), pp. 243-261.
VANCOUVER
Shahbaz, L., Mahmoudi, M. Various kinds of regular injectivity for $S$-posets. Bulletin of the Iranian Mathematical Society, 2014; 40(1): 243-261.