cogenerator and subdirectly irreducible in the category of s-posets
نویسندگان
چکیده
in this paper we study the notions of cogenerator and subdirectlyirreducible in the category of s-poset. first we give somenecessary and sufficient conditions for a cogenerator $s$-posets.then we see that under some conditions, regular injectivityimplies generator and cogenerator. recalling birkhoff'srepresentation theorem for algebra, we study subdirectlyirreducible s-posets and give this theorem for the category ofordered right acts over an ordered monoid. among other things, wegive the relations between cogenerators and subdirectlyirreducible s-posets.
منابع مشابه
COGENERATOR AND SUBDIRECTLY IRREDUCIBLE IN THE CATEGORY OF S-POSETS
In this paper we study the notions of cogenerator and subdirectlyirreducible in the category of S-poset. First we give somenecessary and sufficient conditions for a cogenerator $S$-posets.Then we see that under some conditions, regular injectivityimplies generator and cogenerator. Recalling Birkhoff'sRepresentation Theorem for algebra, we study subdirectlyirreducible S-posets and give this theo...
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عنوان ژورنال:
journal of algebraic systemsناشر: shahrood university of technology
ISSN 2345-5128
دوره 2
شماره 2 2015
کلمات کلیدی
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