<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

Online veröffentlicht: 02. März 2019

Seitenbereich: 193 - 210

Akzeptiert: 29. Mai 2018

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

Schlüsselwörter
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

Online veröffentlicht: 02. März 2019

Seitenbereich: 193 - 210

Akzeptiert: 29. Mai 2018

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

SchlüsselwörterAlgebraic 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.

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