ESSENTIAL SUBHYPERMODULES AND THEIR PROPERTIES

Let R be a hyperring (in the sense of [8]) and M be a hypermodule on R. In this paper we will introduce and study a class of subhypermodules of M. We will study the intersection of this kind of subhypermodules and give some suitable results about them. We will proceed to give some interesting results about the complements, direct sums and independency of this kind of subhypermodules.