Hyperideal theory in ordered Krasner hyperrings-Reference-Cited by-同舟云学术

Hyperideal theory in ordered Krasner hyperrings

Published:2019-03-01 Issue:1 Volume:27 Page:193-210
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Omidi Saber¹,Davvaz Bijan¹

Affiliation:

1. Department of Mathematics , Yazd University , Yazd , Iran .

Abstract

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/auom-2019-0010

Reference23 articles.

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2. [2] R. Ameri, S. Hoskova-Mayerova and A. Kordi, Pseudo regular rings derived from multiplicative hyperrings, In: Aplimat 16th Conference on Applied Mathematics 2017 Proceedings. Bratislava: Vydavatelstvo STU Slovak University of Technology in Bratislava, 2017, pp. 17-27.

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