Weak factorization systems and fibrewise regular injectivity for actions of pomonoids on posets
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Weak factorization systems and fibrewise regular injectivity for actions of pomonoids on posets
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| Creator |
Farsad, F.
Madanshekaf, A. |
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| Description |
Let S be a pomonoid. In this paper, Pos-S, the category of S-posets and S-poset maps, is considered. One of the main aims of this paper is to draw attention to the notion of weak factorization systems in Pos-S. We show that if S is a pogroup, or the identity element of S is the bottom (or top) element, then (DU,SplitEpi) is a weak factorization system in Pos-S, where DU and SplitEpi are the class of du-closed embedding S-poset maps and the class of all split S-poset epimorphisms, respectively. Among other things, we use a fibrewise notion of complete posets in the category Pos-S/B under a particular case that B has trivial action. We show that every regular injective object in Pos-S/B is topological functor. Finally, we characterize them under a special case, where S is a pogroup.
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| Date |
2019-06-18T18:07:06Z
2019-06-18T18:07:06Z 2017 |
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| Type |
Article
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| Identifier |
Weak factorization systems and fibrewise regular injectivity for actions of pomonoids on posets / F. Farsad, A. Madanshekaf // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 2. — С. 235-249. — Бібліогр.: 14 назв. — англ.
1726-3255 2010 MSC:06F05, 18A32, 18G05, 20M30, 20M50. http://dspace.nbuv.gov.ua/handle/123456789/156632 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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