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r-Hyperideals and Generalizations of r-Hyperideals in Krasner Hyperrings

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dc.contributor.authorXu, Peng
dc.contributor.authorBolat, Melis
dc.contributor.authorKaya, Elif
dc.contributor.authorOnar, Serkan
dc.contributor.authorErsoy, Bayram Ali
dc.contributor.authorHila, Kostaq
dc.date.accessioned2026-06-27T14:42:09Z
dc.date.issued2022
dc.description.abstractThis paper deals with Krasner hyperrings as an important class of algebraic hyperstructures. We investigate some properties of r-hyperideals in commutative Krasner hyperrings. Some properties of pr-hyperideals are also studied. The relation between prime hyperideals and r-hyperideals is investigated. We show that the image and the inverse image of an r-hyperideal are also an r-hyperideal. We also introduce a generalization of r-hyperideals, and we prove some properties of them.en
dc.description.sponsorshipNational Natural Science Foundation of China [62002079]
dc.description.urihttps://doi.org/10.1155/2022/7862425
dc.identifier.doi10.1155/2022/7862425
dc.identifier.eissn1563-5147
dc.identifier.issn1024-123X
dc.identifier.urihttps://hdl.handle.net/20.500.14981/63710
dc.identifier.volume2022
dc.identifier.wos000850200500010
dc.language.isoeng
dc.publisherHINDAWI LTD
dc.relation.ispartofMATHEMATICAL PROBLEMS IN ENGINEERING
dc.rightsopenAccess
dc.subjectPRIME
dc.subjectEngineering
dc.subjectMathematics
dc.titler-Hyperideals and Generalizations of r-Hyperideals in Krasner Hyperrings
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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