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Abelian quotients in groupoids
- Authors
- Kim, Hee Sik; Ahn, Sun Shin; Park, Choonkil
- Issue Date
- Nov-2025
- Publisher
- SPRINGER-VERLAG ITALIA SRL
- Keywords
- Groupoid; (Marginal) abelian quotient; Commutative; Entropy; Associative quotient; Bin(X)
- Citation
- Ricerche di Matematica, v.74, no.5, pp 2843 - 2857
- Pages
- 15
- Indexed
- SCIE
SCOPUS
- Journal Title
- Ricerche di Matematica
- Volume
- 74
- Number
- 5
- Start Page
- 2843
- End Page
- 2857
- ISSN
- 0035-5038
1827-3491
- Abstract
- In this paper, we introduce the notion of abelian quotients in groupoids, and we discuss some entropy of commutativity of several groupoids defined on the set of all natural numbers. We characterize linear groupoids having the same abelian quotients. Moreover, we apply this notion to the associative law in groupoids.
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Related Researcher
- Ahn, Sun Shin
- College of Education (Department of Mathematics Education)