δ-primary subhypermodules on Krasnerhyperrings

Abstract

In this paper, we study commutative Krasner hyperrings with nonzero identity and nonzero unital hypermodules. We introduce a new con- cept, the 5-primary subhypermodule on Krasner hyperrings. Some character- izations and properties for delta-primary subhypermodules using the expansion function & are provided. The images and inverse images of delta-primary sub- hypermodules under homomorphism are investigated. Finally, some charac terizations for multiplication hypermodules with some special conditions are provided.