2024 : 11 : 14
Leila Shahbaz

Leila Shahbaz

Academic rank: Associate Professor
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Education: PhD.
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Research

Title
Categorical properties of down closed embeddings
Type
JournalPaper
Keywords
S-poset, down closed embeddings, dc-embeddings, limit, colimit
Year
2022
Journal Sahand Communications in Mathematical Analysis
DOI
Researchers Leila Shahbaz

Abstract

Let M be a class of (mono)morphisms in a category A. To study mathematical notions, such as injectivity, tensor products, flatness, one needs to have some categorical and algebraic information about the pair (A,M). In this paper, we take A to be the category Pos-S of S-posets over a posemigroup S, and Mdc to be the class of down closed embeddings and study the categorical properties, such as limits and colimits, of the pair (A,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