Some Properties of Extending Hypermodules and C_11-Hypermodules

Abstract

In this paper, we present extending hypermodules and C_11-hypermodules, and then investigate some properties of these hypermodules. Especially, characterizations of extending hypermodules and characterizations of C_11-hypermodules are provided. Moreover, decompositions of C_11-hypermodules involving projection invariant subhypermodules are studied.