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Title:Polygroup objects in regular categories
Authors:ID Linzi, Alessandro (Author)
.pdf LINZI.22.3.24.pdf (504,37 KB)
MD5: CE898960581D3854ED05368DAEE24EE2
Work type:Unknown
Typology:1.01 - Original Scientific Article
Organization:UNG - University of Nova Gorica
Abstract:<abstract><p>We express the fundamental properties of commutative polygroups (also known as canonical hypergroups) in category-theoretic terms, over the category $ \mathbf{Set} $ formed by sets and functions. For this, we employ regularity as well as the monoidal structure induced on the category $ {\mathbf{Rel}} $ of sets and relations by cartesian products. We highlight how our approach can be generalised to any regular category. In addition, we consider the theory of partial multirings and find fully faithful functors between certain slice or coslice categories of the category of partial multirings and other categories formed by well-known mathematical structures and their morphisms.</p></abstract>
Keywords:polygroup, canonical hypergroup, multiring, Krasner hyperring, regular category, relation
Publication status:Published
Publication version:Author Accepted Manuscript
Publication date:01.01.2024
Year of publishing:2024
Number of pages:str. 11247-11277
Numbering:Vol. 9, issue 5
PID:20.500.12556/RUNG-8955 New window
COBISS.SI-ID:190068483 New window
ISSN on article:2473-6988
DOI:10.3934/math.2024552 New window
Publication date in RUNG:25.03.2024
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Record is a part of a journal

Title:AIMS mathematics
Shortened title:AIMS math.
Publisher:AIMS Press
COBISS.SI-ID:18357081 New window


License:CC BY 4.0, Creative Commons Attribution 4.0 International
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.