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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Format: | Article |
Language: | English |
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Shahrood University of Technology
2014-09-01
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Series: | Journal of Algebraic Systems |
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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. |
first_indexed | 2024-12-16T09:26:15Z |
format | Article |
id | doaj.art-13f98f4661964d97a3d2bed1df58a3f6 |
institution | Directory Open Access Journal |
issn | 2345-5128 2345-511X |
language | English |
last_indexed | 2024-12-16T09:26:15Z |
publishDate | 2014-09-01 |
publisher | Shahrood University of Technology |
record_format | Article |
series | Journal of Algebraic Systems |
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 |