The author investigates the algebra associated with a finite hypergroupoid. He studies the relations between quasi-hypergroups and division algebras. He finds some criteria for constructing hypergroupoids such that the associated algebra is associative. He introduces and studies a functor from the category of hypergroupoids to the category of algebras. Finally he examines the relations between hypergroupoids and associated algebras with identity.
On the algebra associated with a finite hypergroupoid
DE SALVO, Mario
1989-01-01
Abstract
The author investigates the algebra associated with a finite hypergroupoid. He studies the relations between quasi-hypergroups and division algebras. He finds some criteria for constructing hypergroupoids such that the associated algebra is associative. He introduces and studies a functor from the category of hypergroupoids to the category of algebras. Finally he examines the relations between hypergroupoids and associated algebras with identity.File in questo prodotto:
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