Various kinds of regular injectivity for $S$-posets
نویسندگان
چکیده مقاله:
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.
منابع مشابه
various kinds of regular injectivity for $s$-posets
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 giv...
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عنوان ژورنال
دوره 40 شماره 1
صفحات 243- 261
تاریخ انتشار 2014-02-01
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