A Survey on the Theory of n-Hypergroups

Authors:

Open Access

19 January 2023

journal article
review article
Published by MDPI AG in Mathematics

Vol. 11 (3) , 551
DOI:10.3390/math11030551

Abstract

This paper presents a series of important results from the theory of n-hypergroups. Connections with binary relations and with lattices are presented. Special attention is paid to the fundamental relation and to the commutative fundamental relation. In particular, join n-spaces are analyzed.

Keywords

This publication has 14 references indexed in Scilit:

n-ARY HYPERGROUPS ASSOCIATED WITH n-ARY RELATIONS
Bulletin of the Korean Mathematical Society, 2013
Binary Relations on Ternary Semihypergroups
Communications in Algebra, 2010
NEUTRAL ELEMENTS, FUNDAMENTAL RELATIONS AND n-ARY HYPERSEMIGROUPS
International Journal of Algebra and Computation, 2009
A Generalization ofn-Ary Algebraic Systems
Communications in Algebra, 2009
Around the Hosszú–Gluskin theorem for $n$ -ary groups
Discrete Mathematics, 2008
$n$ -hypergroups and binary relations
European Journal of Combinatorics, 2008
Strongly Transitive Geometric Spaces: Applications to Hypergroups and Semigroups Theory
Communications in Algebra, 2004
A NEW CHARACTERIZATION OF THE DERIVED HYPERGROUP VIA STRONGLY REGULAR EQUIVALENCES
Communications in Algebra, 2002
Polyadic groups
Transactions of the American Mathematical Society, 1940
Untersuchungen ber einen verallgemeinerten Gruppenbegriff
Mathematische Zeitschrift, 1929