ON STRONGLY ASSOCIATIVE HYPERRINGS

ON STRONGLY ASSOCIATIVE HYPERRINGS

This paper generalizes the idea of strongly associative hyperoperation introduced in [7]  to the class of hyperrings. We introduce and investigate hyperrings of type 1, type 2 and SDIS. Moreover, we study some examples of these hyperrings and give a new kind of hyperrings called  totally hyperrings....

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Main Authors: Fatemeh Arabpur, Morteza Jafarpour
Format: Article
Language:English
Published: Shahrood University of Technology 2019-01-01
Series:Journal of Algebraic Systems
Subjects:
‎strongly associative hyperoperation‎
‎sdis hyperring‎
‎krasner hyperring‎
‎totally hyperring‎
‎hyperring of series‎
Online Access:http://jas.shahroodut.ac.ir/article_1362_b14cfdd7b20dd1bac81140e24c087680.pdf
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spelling doaj-9b3e2ed2b6304029883c8ba18f08600f2020-11-25T03:08:48ZengShahrood University of TechnologyJournal of Algebraic Systems2345-51282345-511X2019-01-016211713010.22044/jas.2018.5951.12981362ON STRONGLY ASSOCIATIVE HYPERRINGSFatemeh Arabpur0Morteza Jafarpour1Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.This paper generalizes the idea of strongly associative hyperoperation introduced in [7]  to the class of hyperrings. We introduce and investigate hyperrings of type 1, type 2 and SDIS. Moreover, we study some examples of these hyperrings and give a new kind of hyperrings called  totally hyperrings. Totally hyperrings give us a characterization of Krasner hyperrings. Also, we investigate these strongly hyperoperations in hyperring of series.http://jas.shahroodut.ac.ir/article_1362_b14cfdd7b20dd1bac81140e24c087680.pdf‎strongly associative hyperoperation‎‎sdis hyperring‎‎krasner hyperring‎‎totally hyperring‎‎hyperring of series‎
collection DOAJ
language English
format Article
sources DOAJ
author Fatemeh Arabpur
Morteza Jafarpour
spellingShingle Fatemeh Arabpur
Morteza Jafarpour
ON STRONGLY ASSOCIATIVE HYPERRINGS
Journal of Algebraic Systems
‎strongly associative hyperoperation‎
‎sdis hyperring‎
‎krasner hyperring‎
‎totally hyperring‎
‎hyperring of series‎
author_facet Fatemeh Arabpur
Morteza Jafarpour
author_sort Fatemeh Arabpur
title ON STRONGLY ASSOCIATIVE HYPERRINGS
title_short ON STRONGLY ASSOCIATIVE HYPERRINGS
title_full ON STRONGLY ASSOCIATIVE HYPERRINGS
title_fullStr ON STRONGLY ASSOCIATIVE HYPERRINGS
title_full_unstemmed ON STRONGLY ASSOCIATIVE HYPERRINGS
title_sort on strongly associative hyperrings
publisher Shahrood University of Technology
series Journal of Algebraic Systems
issn 2345-5128
2345-511X
publishDate 2019-01-01
description This paper generalizes the idea of strongly associative hyperoperation introduced in [7]  to the class of hyperrings. We introduce and investigate hyperrings of type 1, type 2 and SDIS. Moreover, we study some examples of these hyperrings and give a new kind of hyperrings called  totally hyperrings. Totally hyperrings give us a characterization of Krasner hyperrings. Also, we investigate these strongly hyperoperations in hyperring of series.
topic ‎strongly associative hyperoperation‎
‎sdis hyperring‎
‎krasner hyperring‎
‎totally hyperring‎
‎hyperring of series‎
url http://jas.shahroodut.ac.ir/article_1362_b14cfdd7b20dd1bac81140e24c087680.pdf
work_keys_str_mv AT fatemeharabpur onstronglyassociativehyperrings
AT mortezajafarpour onstronglyassociativehyperrings
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