3 Results Found

In this paper, we provide the basic properties of (semi)simple hypermodules. We show that if a hypermodule M is simple, then $\left(End\right(M),·)$ is a group, where $End\left(M\right)$ is the set of all normal endomorphisms of M. We prove that every simple hypermodul...

Inspired by the concepts of projective and injective modules in classical algebraic structure theory, in this paper we initiate the study of the chains of hypermodules over a Krasner hyperring R, endowing first the set $Ho{m}_R^n(M,N)$ of all normal homomo...

This study is motivated by the recently published papers on normal injective and normal projective hypermodules. We provide a new characterization of the normal injective and normal projective hypermodules by using the splitting of the short exact se...