ON A CLASS OF SUBHYPERMODULES
BEHNAM TALAEE *
Department of Mathematics, Faculty of Basic Sciences, Babol University of Technology, Babol, Iran.
*Author to whom correspondence should be addressed.
Abstract
Let R be a hyperring (in the sense of [1]) and M 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 subhypermodule a 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.
Keywords: Hyperring, hypermodule, essential subhypermodule, essential monomorphism