Fundamental Relation on $\mathrm{\Gamma }$-Hyperrings

Abstract

In this paper, we apply the concept of fundamental relation on $\mathrm{\Gamma }$-hyperrings and obtain some related results. Specially, we show that there is a covariant functor between the category of $\mathrm{\Gamma }$-hyperrings and the category of fundamental ${\mathrm{\Gamma }}^{\prime }/{\beta }^{\ast }$-rings.