In this paper the author continues his preceding researches on matroidal hyperstructures. A new class of hypergroups is introduced, called M_λ. These hypergroups are generated by the action of a group on a set. Necessary and sufficient conditions are given for an M_λ-hypergroupoid to be matroidal. The case of matroidal M_λ-hypergroups coming from the natural action of the multiplicative group of a field K on a K-vector space is studied.
Contribution to matroidal hyperstructures
FRENI, Domenico
1997-01-01
Abstract
In this paper the author continues his preceding researches on matroidal hyperstructures. A new class of hypergroups is introduced, called M_λ. These hypergroups are generated by the action of a group on a set. Necessary and sufficient conditions are given for an M_λ-hypergroupoid to be matroidal. The case of matroidal M_λ-hypergroups coming from the natural action of the multiplicative group of a field K on a K-vector space is studied.File in questo prodotto:
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