Noetherian and Artinian Hypermodules and their properties

Inspired by the concepts of noetherian and artinian modules in classical algebraic structure theory, in this paper we initiate the study of the noetherian and artinianhypermodules, first we survey some results and definitions related to hyperrings and hypermodules. Then, our studies focuses on some relationships of noetherian andartinian hypermodules, characterizing them by inspier of modules theory.

Keywords:

Hypermodule , Noetherian hypermodule , Artinian hypermodule.