<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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 (<italic>R,</italic> +, ·, ≤). In particular, we introduce the concepts of prime hyperideals and semiprime hyperideals of an ordered Krasner hyperring and present several examples of them.</p></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.

Hyperideal theory in ordered Krasner hyperrings

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Hyperideal theory in ordered Krasner hyperrings"}

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...

Hyperideal theory in ordered Krasner hyperrings

Published Online: Mar 02, 2019

Page range: 193 - 210

Accepted: May 29, 2018

DOI: https://doi.org/10.2478/auom-2019-0010

Keywords
Algebraic hyperstructure, Ordered Krasner hyperring, Prime hyperideal, Semiprime hyperideal, Convex hyperideal, -system

© 2019 Saber Omidi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Hyperideal theory in ordered Krasner hyperrings

Published Online: Mar 02, 2019

Page range: 193 - 210

Accepted: May 29, 2018

DOI: https://doi.org/10.2478/auom-2019-0010

KeywordsAlgebraic hyperstructure, Ordered Krasner hyperring, Prime hyperideal, Semiprime hyperideal, Convex hyperideal, -system

© 2019 Saber Omidi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Algebraic hyperstructure, Ordered Krasner hyperring, Prime hyperideal, Semiprime hyperideal, Convex hyperideal, -system