Remarks on weak hypermodules
Bull. Korean Math. Soc. 1999 Vol. 36, No. 3, 599-608
B. Davvaz
Tarbiat Modarres University
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 $H_v$-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 : hypergroup, hyperring, hypermodule, $H_v$-ring, $H_v$-module, exact sequence
MSC numbers : 20N20
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