Construction of k-Hyperideals by P-Hyperoperations

Abstract

In this note we present a method to construction new k-hyperideals from given k-ideals of a semiring R by using of the P-hyperoperations. Then we investigate the relationship between them. In particular, we describe all khyperideals of the semihyperring of the nonnegative integers.

Keywords

• (semi)hyperring, k-(hyper)ideal, P-hyperoperation, weak distributive