Bulletin of the
Korean Mathematical Society BKMS

$H_v$-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