• Title/Summary/Keyword: Hypergroup

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UNIVERSAL HYPERDYNAMICAL SYSTEMS

  • Nezhad, A. Dehghan;Davvaz, B.
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.3
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    • pp.513-526
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    • 2010
  • In this paper, the theory of n-ary hypergroups and some applications of hyperalgebras (Fredholm-Voltra integral, copula) are studied. We define some new concepts of topological hyperdynamical systems, universal hyperdynamical systems and immersed universal hyperalgebra. Also, we present some results in this respect.

ON POLYGROUP HYPERRINGS AND REPRESENTATIONS OF POLYGROUPS

  • Davvaz, B.;Poursalavati, N.S.
    • Journal of the Korean Mathematical Society
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    • v.36 no.6
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    • pp.1021-1031
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    • 1999
  • In this paper we introduce matrix representations of polygroups over hyperrings and show such representations induce representations of the fundamental group over the corresponding fundamental ring. We also introduce the notion of a polygroup hyperring generalizing the notion of a group ring. We establish homo-morphisms among various polygroup hyperrings.

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