Reducibility in Corsini hypergroups

The Corsini Encyclopedia of Psychology FOURTH

Algebraic Quantum Hypergroups

An algebraic quantum group is a regular multiplier Hopf algebra with integrals. In this paper we will develop a theory of algebraic quantum hypergroups. It is very similar to the theory of algebraic quantum groups, except that the comultiplication is no longer assumed to be a homomorphism. We still require the existence of a left and of a right integral. There is also an antipode but it is char...

Enumeration of Rosenberg hypergroups

The aimof this paper is to introduce the notion of generalmutually associative hypergroups and to give some properties of the hypergroups associated with binary relations related to these notions. A program written in C# computes the number of Rosenberg hypergroups that satisfies the property of (general) mutual associativity. © 2010 Elsevier Ltd. All rights reserved.

Actions of Finite Hypergroups

This paper is concerned with actions of finite hypergroups on sets. After introducing the definitions in the first section, we use the notion of ‘maximal actions’ to characterise those hypergroups which arise from association schemes, introduce the natural sub-class of *-actions of a hypergroup and introduce a geometric condition for the existence of *-actions of a Hermitian hypergroup. Followi...

Fuzzy congruence of hypergroups

In this paper we introduce fuzzy congruence and fuzzy strong congruence of semi-hypergroups as well as polygroups. We obtain some results in this respect. We also prove that FC(H), the set of all fuzzy strong congruences on a polygroup H , consists a complete lattice and this lattice is isomorphic to FN (H), the lattice of fuzzy normal subpolygroups.