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