Multiplicative hyperring of fractions and coprime hyperideals

R. Ameri; A. Kordi; S. Hoskova-Mayerova

doi:10.1515/auom-2017-0001

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Multiplicative hyperring of fractions and coprime hyperideals

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 25 (2017): Issue 1 (January 2017)

By: R. Ameri, A. Kordi and S. Hoskova-Mayerova

Open Access

|Sep 2017

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.

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Articles in this issue

DOI: https://doi.org/10.1515/auom-2017-0001 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 5 - 23

Submitted on: Dec 1, 2015

Accepted on: Apr 4, 2016

Published on: Sep 21, 2017

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Multiplicative hyperring,

Hyperideal,

Prime,

Coprime,

Fundamental relation,

Hyperring of fractions

Related subjects:

Mathematics,

General mathematics

© 2017 R. Ameri, A. Kordi, S. Hoskova-Mayerova, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 25 (2017): Issue 1 (January 2017)