@article {
author = {Shahbaz, Leila},
title = {Categorical Properties of Down Closed Embeddings},
journal = {Sahand Communications in Mathematical Analysis},
volume = {19},
number = {1},
pages = {89-99},
year = {2022},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2022.545343.1038},
abstract = {Let $\mathcal M$ be a class of (mono)morphisms in a category $\mathcal A$. To study mathematical notions, such as injectivity, tensor products, flatness, one needs to have some categorical and algebraic information about the pair (${\mathcal A}$,${\mathcal M}$).In this paper, we take $\mathcal A$ to be the category {\bf Pos}-$S$ of $S$-posets over a posemigroup $S$, and ${\mathcal M}_{dc}$ to be the class of down closed embeddings and study the categorical properties, such as limits and colimits, of the pair (${\mathcal A}$,${\mathcal M}$). Injectivity with respect to this class of monomorphisms have been studied by Shahbaz et al., who used it to obtain information about regular injectivity.},
keywords = {S-poset,Down closed embeddings,dc-embeddings,Limit,Colimit},
url = {https://scma.maragheh.ac.ir/article_249406.html},
eprint = {https://scma.maragheh.ac.ir/article_249406_3d57569204846263835eb8b5bf190414.pdf}
}