Weak factorization systems and fibrewise regular injectivity for actions of pomonoids on posets

• Published in: Algebra and Discrete Mathematics
• Date: 2017
• Main Authors: Farsad, F., Madanshekaf, A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156632
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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) eleme...