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Isomorphisms of hypergroups and of n-hypergroups with applications

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Abstract

We study some connections between hypergroups and n-hypergroups. For each of them we give examples which involve binary relations, lattices and hypergraphs. Finally, we study when two finite join spaces associated with lattices, defined on the same set, are isomorphic.

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References

  • Corsini P, Leoreanu V (2003) Applications of hyperstructure theory. Kluwer, Dordrecht

    MATH  Google Scholar 

  • Corsini P, Leoreanu V (1995) Join spaces associated with fuzzy sets. J Comb Inf Syst Sci 20(1)

  • Corsini P, Leoreanu V (2000) Hypergroups and binary relations. Algebra Universalis 43: 321–330

    Article  MATH  MathSciNet  Google Scholar 

  • Davvaz B (2008) Approximations in n-ary algebraic systems, Soft Computing, A Fusion of Foundations, Methodologies and Applications Issue Volume 12, Number 4

  • Davvaz B, Karimian M (2007) On the n-complete hypergroups. Eur J Comb 28(1): 86–93

    Article  MATH  MathSciNet  Google Scholar 

  • Davvaz B, Vougiouklis T (2006) n-ary hypergroups. Iran J Sci Technol Trans A 30

  • Dörnte W (1928) Untersuchungen über einen verallgemeinerten Gruppenbegriff. Math Z 29: 1–19

    Article  MATH  Google Scholar 

  • Kerner R (2000) Ternary algebraic structures and their applications in physics. University of P M Curie, Paris

  • Grzymala-Busse JW (1969) Automorphisms of polyadic automata. J Assoc Comput Mach 16: 208–219

    MATH  MathSciNet  Google Scholar 

  • Laywine CF, Mullen GL (1998) Discrete mathematics using latin squares. Wiley, New York

    MATH  Google Scholar 

  • Laywine CF, Mullen GL, Whittle G (1995) D-dimensional hypercubes and the Euler and MacNeish conjectures. Monatsh Math 111: 223–238

    Article  MathSciNet  Google Scholar 

  • Leoreanu-Fotea V, Davvaz B (2008a) n-hypergroups and binary relations. Eur J Comb 29(5): 1207–1218

    Article  MATH  MathSciNet  Google Scholar 

  • Leoreanu-Fotea V, Davvaz B (2008b) Join n-spaces and lattices. Mult Valued Logic Soft Comput (Accepted)

  • Marty F (1934) Sur une généralisation de la notion de groupe, IV Congrès des Mathématiciens Scandinaves, Stockholm, pp 45–49

  • Nikshych D, Vainerman L (2000) Finite quantum groupoids and their applications. University of California, Los Angeles

    Google Scholar 

  • Prenowitz W, Jantosciak J (1979) Join geometries. Springer-Verlag UTM

  • Rosenberg IG (1998) Hypergroups and join spaces determined by relations. It J Pure Appl Math 4: 93–101

    MATH  Google Scholar 

  • Stojaković Z, Dudek WA (1998) Single identities for varieties equivalent to quadruple systems. Discrete Math 183: 277–284

    Article  MATH  MathSciNet  Google Scholar 

  • Stojaković Z, Dudek WA (2005) Conjugate invariant quasigroups. Quasigroups Relat Syst 13 (in press)

  • Vougiouklis T (1994) Hyperstructures and their representations, vol 115. Hadronic Press Inc., Palm Harbor

  • Vougiouklis T (1992) Representations of hypergroups by generalized permutations. Algebra Universalis 29: 172–183

    Article  MATH  MathSciNet  Google Scholar 

  • Vougiouklis T (1996) H v -groups defined on the same set. Discrete Math 155: 259–265

    Article  MATH  MathSciNet  Google Scholar 

Download references

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Correspondence to V. Leoreanu-Fotea.

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This work was supported by a Romanian Academy Grant, 2007/2008.

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Leoreanu-Fotea, V., Corsini, P. Isomorphisms of hypergroups and of n-hypergroups with applications. Soft Comput 13, 985–994 (2009). https://doi.org/10.1007/s00500-008-0341-9

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  • DOI: https://doi.org/10.1007/s00500-008-0341-9

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