Published Online: Sep 21, 2017
Page range: 177 - 188
Received: Dec 03, 2014
Accepted: Jan 07, 2015
DOI: https://doi.org/10.1515/auom-2016-0009
Keywords
© 2017
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
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.