<abstract xmlns="http://www.w3.org/1999/xhtml"><p> Based on the concepts of composition ring and composition hyper- ring, in this note we introduce the notion of composition structure for (m, n)-hyperrings and study the connections with composition hy- perrings. Moreover we show that particular strong endomorphisms of (m, n)-hyperrings can determine the composition structure of a such (m, n)-hyperrings. Finally, the three isomorphism theorems are pre- sented in the case of composition (m, n)-hyperrings, showing that they are not a pure extension of those for composition hyperrings. </p></abstract>

Based on the concepts of composition ring and composition hyper- ring, in this note we introduce the notion of composition structure for (m, n)-hyperrings and study the connections with composition hy- perrings. Moreover we show that particular strong endomorphisms of (m, n)-hyperrings can determine the composition structure of a such (m, n)-hyperrings. Finally, the three isomorphism theorems are pre- sented in the case of composition (m, n)-hyperrings, showing that they are not a pure extension of those for composition hyperrings.

A note on composition (m, n)-hyperrings

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"A note on composition (m, n)-hyperrings"}

Based on the concepts of composition ring and composition hyper- ring, in this note we introduce the notion of composition structure for (m, n)-hyperrings and...

A note on composition (m, n)-hyperrings

Published Online: Sep 21, 2017

Page range: 101 - 122

Received: Apr 01, 2011

Accepted: Feb 01, 2012

DOI: https://doi.org/10.1515/auom-2017-0023

Keywords
n-hypergroup, (m, n)-hyperring, composition (m, n)-hyperring, composition hyperideal

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

A note on composition (m, n)-hyperrings

Published Online: Sep 21, 2017

Page range: 101 - 122

Received: Apr 01, 2011

Accepted: Feb 01, 2012

DOI: https://doi.org/10.1515/auom-2017-0023

Keywordsn-hypergroup, (m, n)-hyperring, composition (m, n)-hyperring, composition hyperideal

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
n-hypergroup, (m, n)-hyperring, composition (m, n)-hyperring, composition hyperideal