<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

Publicado en línea: 02 mar 2019

Páginas: 193 - 210

Aceptado: 29 may 2018

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

Palabras clave
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

Publicado en línea: 02 mar 2019

Páginas: 193 - 210

Aceptado: 29 may 2018

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

Palabras claveAlgebraic 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.

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