CINECA IRIS Institutional Research Information System
IRIS è la piattaforma adottata dall’Università degli Studi di Udine per gestire l’archivio aperto dei prodotti della ricerca. L’archivio contiene articoli, contributi in volume, monografie, interventi pubblicati in atti di convegno, Tesi di dottorato e altri materiali.
EnglishFor any integer n ≥ 2, let R_0(n + 1) be the class of 0-semihypergroups H of size n + 1 such that {y} ⊆ xy ⊆ {0, y} for all x, y ∈ H - {0}, all subsemihypergroups K ⊆ H are 0-simple and, when |K| ≥ 3, the fundamental relation β_K is not transitive. We determine a transversal of isomorphism classes of semihypergroups in R0(n + 1) and we prove that its cardinality is the (n + 1)-th term of sequence A000070 in [21], namely, ∑ _{k=0}^n p(k), where p(k) denotes the number of non-increasing partitions of integer k.
| Titolo: | A family of 0-simple semihypergroups related to sequence A000070 |
| Autori: | |
| Data di pubblicazione: | 2016 |
| Rivista: | |
| Abstract: | For any integer n ≥ 2, let R_0(n + 1) be the class of 0-semihypergroups H of size n + 1 such that {y} ⊆ xy ⊆ {0, y} for all x, y ∈ H - {0}, all subsemihypergroups K ⊆ H are 0-simple and, when |K| ≥ 3, the fundamental relation β_K is not transitive. We determine a transversal of isomorphism classes of semihypergroups in R0(n + 1) and we prove that its cardinality is the (n + 1)-th term of sequence A000070 in [21], namely, ∑ _{k=0}^n p(k), where p(k) denotes the number of non-increasing partitions of integer k. |
| Handle: | http://hdl.handle.net/11390/1089918 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| (2016)A Family of 0-Simple Semihypergroups Related to Sequence A000070.pdf | Articolo su rivista internazionale | Versione Editoriale (PDF) | Non pubblico | Accesso ristretto Richiedi una copia |
http://hdl.handle.net/11390/1089918
Copyright © 2020