TY - JOUR
ID - 249406
TI - Categorical Properties of Down Closed Embeddings
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Shahbaz, Leila
AD - Department of Mathematics, University of Maragheh, Maragheh,
55181-83111, Iran.
Y1 - 2022
PY - 2022
VL - 19
IS - 1
SP - 89
EP - 99
KW - S-poset
KW - Down closed embeddings
KW - dc-embeddings
KW - Limit
KW - Colimit
DO - 10.22130/scma.2022.545343.1038
N2 - 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.
UR - https://scma.maragheh.ac.ir/article_249406.html
L1 - https://scma.maragheh.ac.ir/article_249406_3d57569204846263835eb8b5bf190414.pdf
ER -