Hyperideal theory in ordered Krasner hyperrings

Saber Omidi; Bijan Davvaz

doi:10.2478/auom-2019-0010

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Hyperideal theory in ordered Krasner hyperrings

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 27 (2019): Issue 1 (March 2019)

By: Saber Omidi and Bijan Davvaz

Open Access

|Mar 2019

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.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2019-0010 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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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

Keywords:

Algebraic hyperstructure,

Ordered Krasner hyperring,

Prime hyperideal,

Semiprime hyperideal,

Related subjects:

© 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.

Volume 27 (2019): Issue 1 (March 2019)