DIFFERENTIAL MULTIPLICATIVE HYPERRINGS

There are several kinds of hyperrings, for example, Krasnerhyperrings, multiplicative hyperring, general hyperrings and$H_v$-rings. In a multiplicative hyperring, the multiplication isa hyperoperation, while the addition is a binary operation. In this paper, the notion of derivation on multiplicativ...

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Main Authors: L. Kamali Ardekani, Bijan Davvaz
Format: Article
Language:English
Published: Shahrood University of Technology 2014-09-01
Series:Journal of Algebraic Systems
Subjects:
Online Access:http://jas.shahroodut.ac.ir/article_299_420674ca212578f4903402930ff38459.pdf
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author L. Kamali Ardekani
Bijan Davvaz
author_facet L. Kamali Ardekani
Bijan Davvaz
author_sort L. Kamali Ardekani
collection DOAJ
description There are several kinds of hyperrings, for example, Krasnerhyperrings, multiplicative hyperring, general hyperrings and$H_v$-rings. In a multiplicative hyperring, the multiplication isa hyperoperation, while the addition is a binary operation. In this paper, the notion of derivation on multiplicative hyperrings is introduced and some related properties are investigated. {bf Keywords:} multiplicative hyperring, derivation, differential hyperring.
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spelling doaj.art-13f98f4661964d97a3d2bed1df58a3f62022-12-21T22:36:38ZengShahrood University of TechnologyJournal of Algebraic Systems2345-51282345-511X2014-09-0121213510.22044/jas.2014.299299DIFFERENTIAL MULTIPLICATIVE HYPERRINGSL. Kamali Ardekani0Bijan Davvaz1Yazd UniversityYazd UniversityThere are several kinds of hyperrings, for example, Krasnerhyperrings, multiplicative hyperring, general hyperrings and$H_v$-rings. In a multiplicative hyperring, the multiplication isa hyperoperation, while the addition is a binary operation. In this paper, the notion of derivation on multiplicative hyperrings is introduced and some related properties are investigated. {bf Keywords:} multiplicative hyperring, derivation, differential hyperring.http://jas.shahroodut.ac.ir/article_299_420674ca212578f4903402930ff38459.pdfmultiplicative hyperringderivationdifferential hyperring
spellingShingle L. Kamali Ardekani
Bijan Davvaz
DIFFERENTIAL MULTIPLICATIVE HYPERRINGS
Journal of Algebraic Systems
multiplicative hyperring
derivation
differential hyperring
title DIFFERENTIAL MULTIPLICATIVE HYPERRINGS
title_full DIFFERENTIAL MULTIPLICATIVE HYPERRINGS
title_fullStr DIFFERENTIAL MULTIPLICATIVE HYPERRINGS
title_full_unstemmed DIFFERENTIAL MULTIPLICATIVE HYPERRINGS
title_short DIFFERENTIAL MULTIPLICATIVE HYPERRINGS
title_sort differential multiplicative hyperrings
topic multiplicative hyperring
derivation
differential hyperring
url http://jas.shahroodut.ac.ir/article_299_420674ca212578f4903402930ff38459.pdf
work_keys_str_mv AT lkamaliardekani differentialmultiplicativehyperrings
AT bijandavvaz differentialmultiplicativehyperrings