COGENERATOR AND SUBDIRECTLY IRREDUCIBLE IN THE CATEGORY OF S-POSETS

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چکیده مقاله:

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.

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cogenerator and subdirectly irreducible in the category of s-posets

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عنوان ژورنال

دوره 2  شماره 2

صفحات  137- 146

تاریخ انتشار 2015-02-01

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