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Hyperideal theory in ordered Krasner hyperrings Cover

Abstract

In this paper, we study some properties of ordered Krasner hyper-rings. Also we state some definitions and basic facts and prove some results on ordered Krasner hyperring (R, +, ·, ≤). In particular, we introduce the concepts of prime hyperideals and semiprime hyperideals of an ordered Krasner hyperring and present several examples of them.

DOI: https://doi.org/10.2478/auom-2019-0010 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 193 - 210
Accepted on: May 29, 2018
Published on: Mar 2, 2019
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2019 Saber Omidi, Bijan Davvaz, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.