M_λ ipergruppoidi matroidali. Applicazioni λ-lineari e automorfismi di M_λ-ipergruppoidi

  • Domenico Freni


In this paper we forward in the investigation of the matroidal M_λ -hypergrupoids introduced in [13]. We give necessary and sufficient conditions for such hypergrupoid to be matroidal; moreover, we find its cardinality and we analyse the properties of the corresponding omomorphisms. The paper gives also a characterization of the group Λ(G_λ), that is the one of the automorphisms of the hypergroupoid G λ ; this hypergroupoid is obtained by a given group G, an element of its λ and the action of G on G determined by the same operation of G.