COGENERATOR AND SUBDIRECTLY IRREDUCIBLEIN THE CATEGORY OF S-POSETS
عنوان مقاله: COGENERATOR AND SUBDIRECTLY IRREDUCIBLEIN THE CATEGORY OF S-POSETS
شناسه ملی مقاله: JR_JAS-2-2_005
منتشر شده در شماره 2 دوره 2 فصل Winter and Spring در سال 1393
شناسه ملی مقاله: JR_JAS-2-2_005
منتشر شده در شماره 2 دوره 2 فصل Winter and Spring در سال 1393
مشخصات نویسندگان مقاله:
GH MOGHADDASI
خلاصه مقاله:
GH MOGHADDASI
In this paper we study the notions of cogenerator and subdirectly irreducible in the category of S-posets. First we give some necessary and su cient conditions for an S-poset to be a cogenerator. Then we see that under some conditions, regular in- jectivity implies generator and cogenerator. Recalling Birkho 's Representation Theorem for algebras, we study subdirectly irreducible S-posets and prove this theorem for the category of ordered right acts over an ordered monoid. Among other things, we present the relationship between cogenerators and subdirectly irreducible S-posets.
کلمات کلیدی: S-poset, Cogenerator, Regular injective, Subdirectly irreducible
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/369445/