Normal hyperideals in Krasner (m, n)-hyperrings-Reference-Cited by-同舟云学术

Normal hyperideals in Krasner (m, n)-hyperrings

Published:2018-12-01 Issue:3 Volume:26 Page:197-212
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Norouzi Morteza¹,Ameri Reza²,Leoreanu-Fotea Violeta³

Affiliation:

1. Department of Mathematics, Faculty of Basic Sciences , University of Bojnord , Bojnord , Iran .

2. School of Mathematics, Statistics and Computer Science, College of Sciences , University of Tehran , P.O. Box 14155-6455, Tehran , Iran .

3. Faculty of Mathematics , University of Al.I. Cuza of Iasi , Iasi , Romania .

Abstract

Abstract Using a new definition, with respect to [21], for normal hyperideals in Krasner (m, n)-hyperrings, we show that the corresponding quotient structures are (m, n)-rings. We prove equivalency of (strongly) regular and (strongly) compatible relations on n-ary hypergroups. Also, the connection between (m, n)-hyperfields and maximal normal hyperideals is investigated.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/auom-2018-0041

Reference25 articles.

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3. [3] R. Ameri, M. Norouzi, V. Leoreanu-Fotea, On prime and primary subhypermodules of (m, n)-hypermodules, European J. Combin., 44 (2015) 175-190.

4. [4] S.M. Anvariyeh, B. Davvaz, Strongly transitive geometric spaces associated with (m, n)-ary hypermodules, An. Ştiinţ. Univ. Al. I. Cuza Iasi. Mat. (N.S.), 59 (1) (2013) 85-102.10.2478/v10157-012-0023-x

5. [5] S.M. Anvariyeh, S. Mirvakili, Canonical (m, n)-hypermodules over Krasner (m, n)-hyperrings, Iran. J. Math. Sci. inf., 7 (2) (2012) 17-34.

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