Construction of (M, N)-hypermodule over (R, S)-hyperring-Reference-Cited by-同舟云学术

Construction of (M, N)-hypermodule over (R, S)-hyperring

Published:2019-08-01 Issue:1 Volume:11 Page:131-143
ISSN:2066-7752
Container-title:Acta Universitatis Sapientiae, Mathematica
language:en
Short-container-title:

Author:

Mirvakili S.¹,Anvariyeh S. M.²,Davvaz B.²

Affiliation:

1. Department of Mathematics , Payame Noor University (PNU) , Yazd , Iran

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

Abstract

Abstract The aim of this paper is to introduce a new class of hyper-modules that may be called (M, N)-hypermodules over (R, S)-hyperrings. Then, we investigate some properties of this new class of hyperstructures. Since the main tools in the theory of hyperstructures are the fundamental relations, we give some results about them with respect to the fundamental relations.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/ausm-2019-0011

Reference17 articles.

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3. [3] S. M. Anvariyeh, B. Davvaz, On the heart of hypermodules, Math. Scand., 106 (2010), 39–49.10.7146/math.scand.a-15123

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