Multiplicative hyperring of fractions and coprime hyperideals-Reference-Cited by-同舟云学术

Multiplicative hyperring of fractions and coprime hyperideals

Published:2017-01-26 Issue:1 Volume:25 Page:5-23
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Ameri R.¹,Kordi A.²,Hoskova-Mayerova S.³

Affiliation:

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

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

3. Department of Mathematics and Physics, University of Defence, Brno Kounicova 65, 662 10 Brno , Czech Republic

Abstract

Abstract In this paper we will introduce the notion of coprime hyperideals in multiplicative hyperrings and we will show some properties of them. Then we introduce the notion of hyperring of fractions generated by a multiplicative hyperring and then we will show some properties of them.

Publisher

Walter de Gruyter GmbH

Reference42 articles.

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2. [2] R. Ameri, M. Norouzi, Prime and primary hyperideals in Krasner (m; n) - hyperrings, European J. Combin., 34 (2013) 379-390.

3. [3] R. Ameri, S. Hoskova-Mayerova, M. Amiri-Bideshki, A. Borumand Saeid, Prime filters of hyperlattices. An. Stiint. Univ. “Ovidius" Constanta Ser. Mat., 24(2) (2016) 15-26.

4. [4] A. Asokkumar, M. Velrajan, Characterizations of regular hyperrings, Ital. J. Pure Appl. Math., 22 (2007) 115-124.

5. [5] A. Asokkumar, M. Velrajan, Hyperring of matrices over a regular hyper- ring, Ital. J. of Pure Appl. Math., 23 (2008) 13-120.

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