Volume 37 • Number 2 • 2014   • General $\Gamma$- Hypermodules: $\Theta$ Relation, $T$- Functor and Fundamental Modules S. Ostadhadi-Dehkordi and M. Heidari Abstract. The main purpose of this paper is to introduce the concept of general $\Gamma$-hyper- modules as a generalization of $\Gamma$-hypermodules, as a generalization of $\Gamma$-modules and as a generalization of modules. Then we extended the isomorphism theorems to general $\Gamma$-hypermodules. Also, it is observer that if $N$ is a normal $\Gamma$-subhypermodule of $\Gamma$-hypermodule $M$, then, $[M:N^{\ast}]$ is an abelian group. Finally, we show that there is a covariant functor between the category of general $\Gamma$-hypermodules and the category of modules. 2010 Mathematics Subject Classification: 20N20, 16Y99 Full text: PDF