Construction of composition (m, n, k)-hyperrings

Abstract

In this paper, our aim is to introduce the notion of a composition (m, n, k)-hyperring and to analyze its properties. We also consider the algebraic structure of (m, n, k) hyperrings which is a generalization of composition rings and composition hyperrings. Also, the isomorphism theorems of ring theory are derived in the context of composition (m, n, k)-hyperrings.

Keywords

• hyperring
• composition (m
• n
• k)-hyperring
• strong homomorphism
• primary 16y99
• secondary 20n20