COGENERATOR AND SUBDIRECTLY IRREDUCIBLE IN THE CATEGORY OF S-POSETS | ||
| Journal of Algebraic Systems | ||
| مقاله 5، دوره 2، شماره 2، فروردین 2015، صفحه 137-146 اصل مقاله (270.54 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2015.371 | ||
| نویسنده | ||
| Gh. Moghaddasi* | ||
| Department of Mathematics, Hakikm Sabzevari University, P.O.Bo 397, Sabzevar, Iran. | ||
| چکیده | ||
| In this paper we study the notions of cogenerator and subdirectly irreducible in the category of S-poset. First we give some necessary and sufficient conditions for a cogenerator $S$-posets. Then we see that under some conditions, regular injectivity implies generator and cogenerator. Recalling Birkhoff's Representation Theorem for algebra, we study subdirectly irreducible S-posets and give this theorem for the category of ordered right acts over an ordered monoid. Among other things, we give the relations between cogenerators and subdirectly irreducible S-posets. | ||
| کلیدواژهها | ||
| S-poset؛ cogenerator؛ regular injective؛ subdirectly irreducible | ||
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آمار تعداد مشاهده مقاله: 2,484 تعداد دریافت فایل اصل مقاله: 2,079 |
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