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.
| Original language | English |
|---|---|
| Pages (from-to) | 2843-2857 |
| Number of pages | 15 |
| Journal | Ricerche di Matematica |
| Volume | 74 |
| Issue number | 5 |
| DOIs | |
| State | Published - Nov 2025 |
Keywords
- (Marginal) abelian quotient
- Associative quotient
- Bin(X)
- Commutative
- Entropy
- Groupoid