Join Spaces and Lattices

Autor: Violeta Leoreanu-Fotea, Sarka Hoskova-Mayerova
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Axioms, Vol 13, Iss 10, p 705 (2024)
Druh dokumentu: article
ISSN: 2075-1680
DOI: 10.3390/axioms13100705
Popis: Hypergroups represent a generalization of groups, introduced by Marty, that are rich in applications in several sectors of mathematics and in other fields. An important class of hypergroups called join spaces is presented in this paper, along with some connections to lattice theory, in particular, to modular and to distributive lattices. In particular, we study join spaces associated with chains through functions and we analyze when such join spaces are isomorphic. Moreover, a combinatorial problem is presented for a finite context, focusing on calculating the number of isomorphisms classes of join spaces.
Databáze: Directory of Open Access Journals
Nepřihlášeným uživatelům se plný text nezobrazuje