Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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REMARKS ON WEAK HYPERMODULES

  • Davvaz, B. (Department of mathematics Tarbiat Modarres University)
  • Published : 1999.08.01
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Abstract

$H_v$-rings first were introduced by Vougiouklis in 1990. Then Darafsheh and the present author defined the $H_v$-ring of fractions $S_{-1}R$ of a commutative hyperring. The largest class of multivalued systems satisfying the module-like axioms is the Hv-module. In this paper we define $H_v$-module of fractions of a hypermodule. Some interesting results concerning this $H_v$-module is proved.

Keywords

References

  1. Rivista Math. Pura ed Appl. no.23 H$_v$-ring of fractions M. R. Darafsheh;B. Davvaz
  2. 8$^th$ congres de Math. Sur une generallisation de la notion de group F. Marty
  3. Rivista Math. Pura ed Appl. no.14 The fundamental relations on $H_v$-rings S. Spartalis;T. Vougiouklis
  4. Hyperstructures and their representations T. Vougiouklis
  5. Proc. Fourth Int. Congress on Algebraic Hyperstructures and Applications(AHA 1990) The fundamental relation in hyperrings. The general hyperfield T. Vougiouklis