<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In the present paper, we will concentrate our efforts on ordered Krasner hyperrings and investigate some of their related properties. Moreover, we introduce and analyze the notion of interior hyperideal in ordered Krasner hyperrings. We also characterize intra-regular ordered Krasner hyperrings by the properties of these interior hyperideals. Finally, we give some results on ordered Krasner hyperrings.</p></abstract>

In the present paper, we will concentrate our efforts on ordered Krasner hyperrings and investigate some of their related properties. Moreover, we introduce and analyze the notion of interior hyperideal in ordered Krasner hyperrings. We also characterize intra-regular ordered Krasner hyperrings by the properties of these interior hyperideals. Finally, we give some results on ordered Krasner hyperrings.

Operations on hyperideals in ordered Krasner hyperrings

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Operations on hyperideals in ordered Krasner hyperrings"}

In the present paper, we will concentrate our efforts on ordered Krasner hyperrings and investigate some of their related properties. Moreover, we introduce...

Operations on hyperideals in ordered Krasner hyperrings

Published Online: Sep 21, 2017

Page range: 275 - 293

Received: May 18, 2015

Accepted: Jun 30, 2015

DOI: https://doi.org/10.1515/auom-2016-0059

Keywords
Algebraic hyperstructure, Ordered Krasner hyperring, Hyperideal, Interior hyperideal, Intra-regular

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Operations on hyperideals in ordered Krasner hyperrings

Published Online: Sep 21, 2017

Page range: 275 - 293

Received: May 18, 2015

Accepted: Jun 30, 2015

DOI: https://doi.org/10.1515/auom-2016-0059

KeywordsAlgebraic hyperstructure, Ordered Krasner hyperring, Hyperideal, Interior hyperideal, Intra-regular

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Algebraic hyperstructure, Ordered Krasner hyperring, Hyperideal, Interior hyperideal, Intra-regular