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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.

DOI: https://doi.org/10.1515/auom-2016-0059 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 275 - 293
Submitted on: May 18, 2015
Accepted on: Jun 30, 2015
Published on: Sep 21, 2017
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2017 S. Omidi, B. Davvaz, P. Corsini, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.