Hyperrings with n-ary composition hyperoperation-Reference-Cited by-同舟云学术

Hyperrings with n-ary composition hyperoperation

Published:2018-01-23 Issue:02 Volume:17 Page:1850022
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Norouzi Morteza¹,Cristea Irina²

Affiliation:

1. Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran

2. Center for Systems and Information Technologies, University of Nova Gorica, Nova Gorica, Slovenia

Abstract

Based on the concepts of composition ring and composition hyperring, in this note, we introduce the notion of [Formula: see text]-ary composition hyperring and study the connections with composition hyperrings. Moreover, we show that special strong multiendomorphisms of hyperrings can determine the [Formula: see text]-ary composition structure of a such hyperring and also a subclass of [Formula: see text]-ary composition hyperrings. Finally, the three isomorphism theorems are studied in the framework of [Formula: see text]-ary composition hyperrings.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498818500226

Reference21 articles.

1. Composition rings

2. Prime and primary hyperideals in Krasner (m,n)-hyperrings

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