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Annals of the Alexandru Ioan Cuza University - Mathematics

The Journal of "Alexandru Ioan Cuza" University from Iasi

Editor-in-Chief: Oniciuc, Cezar

2 Issues per year


CiteScore 2016: 0.34

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1221-8421
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(Fuzzy) Isomorphism Theorems of Soft Γ-Hyperrings

Jianming Zhan / B. Davvaz
Published Online: 2014-11-24 | DOI: https://doi.org/10.2478/aicu-2013-0033

Abstract

Soft set theory, introduced by Molodtsov, has been considered as an effective mathematical tool for modeling uncertainties. In this paper, we apply soft sets to Γ-hyperrings. The concept of soft Γ-hyperrings is first introduced. Then three iso-morphism theorems of soft Γ-hyperrings are established. Finally, we derive three fuzzy isomorphism theorems of soft Γ-hyperrings.

Keywords: soft set; (fuzzy) isomorphism theorem; Γ-hyperideal; soft Γ-hyperring

MSC: 16Y60; 13E05; 03G25

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About the article

Received: 2011-12-02

Accepted: 2012-06-06

Published Online: 2014-11-24


Citation Information: Annals of the Alexandru Ioan Cuza University - Mathematics, ISSN (Online) 1221-8421, DOI: https://doi.org/10.2478/aicu-2013-0033.

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© 2014 Jianming Zhan and B. Davvaz. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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