various kinds of regular injectivity for $s$-posets
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abstract
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.
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Journal title:
bulletin of the iranian mathematical societyPublisher: iranian mathematical society (ims)
ISSN 1017-060X
volume 40
issue 1 2014
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