On (f, g)-Semi-Derivations of Hyperrings

Annual Meeting in Mathematics 2023

Abstract

In this paper, we introduce a generalization of semi-derivation on the Krasner hyperrings R. Specifically, we propose a new type of semi-derivation called (f, g)-semi-derivation, where f and g are mappings from R into itself. Our aim is to explore the properties of this new type of semi-derivation. Additionally, we conduct investigations some results on (f, g)-semi-derivations either on 2-torsion free prime hyperrings or on prime hyperrings.