Some Properties Of Extending Hypermodules, C11-Hypermodules And T-Extending Hyperrings

Abstract

In this research, extending hypermodules, C11-hypermodules and t-extending hyperrings are defined and studied. We characterize extending hypermodules, C11-hypermodules and t-extending hyperrings in many ways under some conditions of hypermodules and hyperrings. Moreover, some properties concerning subhypermodules of extending hypermodules and C11-hypermodules are investigated. Especially, we study C11-hypermodules in the case that they can be decomposed as a direct sum of two subhypermodules.