Associate, Hyperdomainlike, and Presimplifiable Hyperrings

Based on the works of Axtell et al., Anderson et al., and Ghanem on associate, domainlike, and presimplifiable rings, we introduce new hyperrings called associate, hyperdomainlike, and presimplifiable hyperrings. Some elementary properties of these new hyperrings and their relationships are presente...

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Main Authors: Agboola Adesina Abdul Akeem, Davvaz Bijan
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2014/458603
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author Agboola Adesina Abdul Akeem
Davvaz Bijan
author_facet Agboola Adesina Abdul Akeem
Davvaz Bijan
author_sort Agboola Adesina Abdul Akeem
collection DOAJ
description Based on the works of Axtell et al., Anderson et al., and Ghanem on associate, domainlike, and presimplifiable rings, we introduce new hyperrings called associate, hyperdomainlike, and presimplifiable hyperrings. Some elementary properties of these new hyperrings and their relationships are presented.
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institution Kabale University
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publishDate 2014-01-01
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spelling doaj-art-ee274317b5914852bd7c344201f3e6c52025-02-03T00:59:55ZengWileyJournal of Mathematics2314-46292314-47852014-01-01201410.1155/2014/458603458603Associate, Hyperdomainlike, and Presimplifiable HyperringsAgboola Adesina Abdul Akeem0Davvaz Bijan1Department of Mathematics, Federal University of Agriculture, PMB 2240, Abeokuta, Ogun State, NigeriaDepartment of Mathematics, Yazd University, P.O. Box 89195-741, Yazd, IranBased on the works of Axtell et al., Anderson et al., and Ghanem on associate, domainlike, and presimplifiable rings, we introduce new hyperrings called associate, hyperdomainlike, and presimplifiable hyperrings. Some elementary properties of these new hyperrings and their relationships are presented.http://dx.doi.org/10.1155/2014/458603
spellingShingle Agboola Adesina Abdul Akeem
Davvaz Bijan
Associate, Hyperdomainlike, and Presimplifiable Hyperrings
Journal of Mathematics
title Associate, Hyperdomainlike, and Presimplifiable Hyperrings
title_full Associate, Hyperdomainlike, and Presimplifiable Hyperrings
title_fullStr Associate, Hyperdomainlike, and Presimplifiable Hyperrings
title_full_unstemmed Associate, Hyperdomainlike, and Presimplifiable Hyperrings
title_short Associate, Hyperdomainlike, and Presimplifiable Hyperrings
title_sort associate hyperdomainlike and presimplifiable hyperrings
url http://dx.doi.org/10.1155/2014/458603
work_keys_str_mv AT agboolaadesinaabdulakeem associatehyperdomainlikeandpresimplifiablehyperrings
AT davvazbijan associatehyperdomainlikeandpresimplifiablehyperrings