Ehresmann semigroups from a range restriction viewpoint
type: Item
instance of: scholarly article
title: Ehresmann semigroups from a range restriction viewpoint
zbMATH Open document ID: 1477.20107
DOI: 10.1155/2021/5212843
author: Wadii Hajji
published in: Journal of Mathematics
publication date: 2021-06-28T00:00:00Z
review text: Summary: The first theorem in this article provides the connection between Ehresmann semigroups and range prerestriction semigroups defined by the author. By this connection, we can redefine any Ehresmann semigroups by two unary operations and eight axioms. This connection leads us to a generalization of Ehresmann's theorem for a range prerestriction categories; as special cases, we obtain Ehresmann's theorems for range restriction categories and for inverse categories.
Mathematics Subject Classification ID: 20M10
Mathematics Subject Classification ID: 20M18
zbMATH DE Number: 7363823
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/5212843
OpenAlex ID: W3162659778
cites work: Semigroups and ordered categories. I: The reduced case
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cites work: Function systems
cites work: Fundamental Ehresmann semigroups
cites work: Restriction categories. I: Categories of partial maps
cites work: Q4040149
cites work: Q5586439
cites work: Q4199995
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description: scientific article; zbMATH DE number 7363823