Absolutely extendable property and stable elements in $\Gamma$-semihyperrings

Abstract

The concept of $\Gamma$-semihyperrings is a generalization of a
semirings, a generalization of a $\Gamma$-semirings, and a
generalization of a semihyperering. In this paper, we define  the
notions of complex product, extension property and flat
$\Gamma$-semihyperrings and some of their properties are obtained. In addition,  we prove that every flat $\Gamma$-semihyperring is absolutely extendable. Finally, we give some characterization of stable elements.