2015/03/17 by Farideh Farsad, Farsad, Farideh, Ali Madanshekaf +1
Mathematics · #06F05 #18A32 #18G05 #20M30 #20M50 #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #math.RT #msc:06F05 #msc:18A32 #msc:18G05 #msc:20M30 #msc:20M50
paper · pdf · doi:10.48550/arxiv.1503.05071
arxiv created 2015/03/17 · openalex publication_date 2015/03/17 · arxiv updated 2015/03/18 · openalex created_date 2022/09/12 · openalex updated_date 2026/07/28
Let S be a pomonoid, in this paper, \bf Pos-S, the category of S-posets and S-poset maps, is considered. First, we characterize some pomonoids on which all projectives in this category are generator or free. Then, we study regular injectivity and weakly regularly d-injectivity which lead to some homological classification results for pomonoids. Among other things, we get some relationships between regular injectivity in the slice category \bf Pos-S/BS and generators or cyclic projectives in \bf Pos-S.