WEAK HYPERSTRUCTURES ON SMALL SETS

Authors

  • T. Vougiouklis Democritus University of Thrace, School of Education, 68 100 Alexandroupolis, Greece (Greece)
  • S. Spartalis Democritus University of Thrace, Dept. of Production Engineering and Management, School of Engineering, University Library Building, Kimeria 67100 Xanthi, Greece (Greece)
  • M. Kessoglides Democritus University of Thrace, School of Education, 68 100 Alexandroupolis, Greece (Greece)

Keywords:

Hypergroup, Hv-group

Abstract

The class of the weak hyperstructures is larger than the known ones originated from the hypergroup in the sense of Marty. The weak hyperstructures are also called -structures. In this paper we deal with some classes ofH,-groups defined on sets with three elements.

References

P.CORSINI: Prolegomena of Hypergroup Theory, 2nd ed., Aviani Editore 1992.

S.SPARTALIS T.VOUGIOUKLIS: The fundamental relations on Hy-rings, Rivista Mat_Pura Appl., 14 (1994), 7-20.

T.VOUGIOUKLIS: A new class of hyperstructures, J.Comb., Inf. Syst. Sciences (JCISS), V20(1)(1995),229-235.

:Hyperstructures and their Representations,Hadronic Press, Palm Harbor, USA, 1994.

:Hy-groups defined on the same set, Combinatorics '92.

The fundamental relation in hyperrings. The general hyperfield, Fourth AHA Congress (1990), World Sci.(1991), 203-211.

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Published

1997-02-18

Issue

Vol. 12 (1997)

Section

Volume 12-1997

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