- Characterization of Additive (m, n)-Semihyperrings
- MIRAKILI, SAEED ; DAVVAZ, BIJAN ;
- Kyungpook mathematical journal, volume 55, issue 3, 2015, Pages 515~530
- DOI : 10.5666/KMJ.2015.55.3.515

Abstract

We say that (R, f, g) is an additive (m, n)-semihyperring if R is a non-empty set, f is an m-ary associative hyperoperation, g is an n-ary associative operation and g is distributive with respect to f. In this paper, we describe a number of characterizations of additive (m, n)-semihyperrings which generalize well-known results. Also, we consider distinguished elements, hyperideals, Rees factors and regular relations. Later, we give a natural method to derive the quotient (m, n)-semihyperring.