Hypergroups and Geometric Spaces

Authors

  • Maria Scafati Tallini Viale Ippocrate, 97, 00161-ROMA, Italy.

Keywords:

hypergroup, geometric space

Abstract

We explain some links between hypergrpoups and geometric spaces. We show that for any given hypergroup it is possible to define a particular geometric space and then a canonical homomorphism between the hypergroup and a group.

References

Freni, D.: Une note sur le coeur d’un hypergroupe et sur la cloture tran-sitive β∗ de β, Riv. Mat. Pura e Applicata Univ. Udine, n. 8, (1991), 153–156.

Corsini, P.: Prolegomena of Hypergroup Theory, Aviani Editore, Udine, 1986.

Scafati Tallini, M.: A-ipermoduli e spazi ipervettoriali, Riv. Mat. Pura e Applicata Univ. Udine, n. 3, (1988), 39-48.

Scafati Tallini, M.: Hypervector spaces, Proc. Fourth Int: Congress on ”Algebraic Hyperstructures and Applications”, Xanthi, Greece, (1990), 167-174.

Scafati Tallini, M.: Sottospazi, spazi quozienti ed omomorfismi tra spazi ipervettoriali, Riv. Mat. Pura e Applicata Univ. Udine,n. 18, (1996), 71-84.

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Published

2012-06-10

Issue

Vol. 22 (2012)

Section

Volume 22-2012

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