AN EXAMPLE OF A JOIN SPACE ASSOCIATED WITH A RELATION

In this paper a join spaces associated with a binary relation is presented

Equivalence relations in semihypergroups and the corresponding quotient structures

AbstractIn this paper, we introduce and study two equivalence relations in semihypergroups, for which the corresponding quotient structures are monoids and commutative monoids

Approximations in hypergroups and fuzzy hypergroups

AbstractThe first part of this paper represents a continuation of the study of approximations in a hypergroup. We analyse the lower and upper approximations of a subset in a hypergroup, with respect to some operators, particularly the completeness operator. In the last part, we introduce and analyse the lower and upper approximation of a subset in a fuzzy hypergroup

A class of semihypergroups connected to preordered weak Γ-semigroups

AbstractWe introduce the concept of weak Γ-semigroups as a generalization of Γ-semigroups. Using preordered weak Γ-semigroups, we obtain a class of semihypergroups and we analyze them in this paper. A connection between morphisms of semihypergroups associated with preordered Γ-semigroups and morphisms of preordered structures is also investigated

The class of hypergroups in which the hearth is in the set of identities

In this paper, the hypergroups, for which the heart is the set of identities, are studied

UNE NOTE SUR LES GROUPES PERMUTABLES

On montre, dans cette Note, que la categorie σ des groupes permutables est balanceé