δ-primary subhypermodules on Krasner hyperrings

Abstract

In this paper, we study commutative Krasner hyperrings with nonzero identity and nonzero unital hypermodules. We introduce a new concept, the $\delta$-primary subhypermodule on Krasner hyperrings. Some characterizations and properties for $\delta$-primary subhypermodules using the expansion function $\delta$ are provided. The images and inverse images of $\delta$-primary subhypermodules under homomorphism are investigated. Finally, some characterizations for multiplication hypermodules with some special conditions are provided.

Keywords

• δ-primary subhypermodules
• expansion of subhypermodules
• multiplication hypermodules
• krasner hyperring