대한수학회지 (Journal of the Korean Mathematical Society)

  • 제36권6호
  • /
  • Pages.1021-1031
  • /
  • 1999
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

ON POLYGROUP HYPERRINGS AND REPRESENTATIONS OF POLYGROUPS

  • Davvaz, B. (Department of mathematics university of Yazd) ;
  • Poursalavati, N.S. (Department of mathematics university of Tehran)
  • 발행 : 1999.11.01
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초록

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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참고문헌

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  8. Proceedings of the Fourth Internatioal Congress on Algebraic Hyperstructures and Applications (AHA 1990) The Fundamental relation in hyperrings. The general hyperfield T. Vougiouklis