Essential subhypermodules and their properties

Document Type : Research Paper


Department of Mathematics, Faculty of Basic Sciences, Babol Noshirvani University of Technology, Babol, Iran.


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