Title
n-hypergroups and binary relations
Abstract
In this paper, we introduce and study the notion of a partial n-hypergroupoid, associated with a binary relation. Some important results concerning Rosenberg partial hypergroupoids, induced by relations, are generalized to the case of n-hypergroupoids. Then, n-hypergroups associated with union, intersection, products of relations and also mutually associative n-hypergroupoids are analyzed. Finally, n-hypergroupoids associated with relations are used in order to study the transitivity of the relation @b in n-semihypergroups.
Year
DOI
Venue
2008
10.1016/j.ejc.2007.06.025
Eur. J. Comb.
Keywords
Field
DocType
rosenberg partial hypergroupoids,partial n-hypergroupoid,important result,binary relation,associative n-hypergroupoids
Discrete mathematics,Associative property,Euclidean relation,Binary relation,Composition of relations,Pure mathematics,Relational algebra,Total relation,Mathematics,Inverse relation,Transitive relation
Journal
Volume
Issue
ISSN
29
5
0195-6698
Citations 
PageRank 
References 
28
3.14
1
Authors
2
Name
Order
Citations
PageRank
V. Leoreanu-Fotea19810.11
B. Davvaz279557.79