Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/13390
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dc.contributor.authorBatal, Ahmet-
dc.contributor.authorEyidoğan, S.-
dc.contributor.authorGöral, Haydar-
dc.date.accessioned2023-04-19T12:39:44Z-
dc.date.available2023-04-19T12:39:44Z-
dc.date.issued2023-
dc.identifier.issn0147-1937-
dc.identifier.urihttps://doi.org/10.14321/realanalexch.48.1.1660633299-
dc.identifier.urihttps://hdl.handle.net/11147/13390-
dc.description.abstractIn this note, we give criteria for the irreducibility of functions in Cm [0, 1], where m ∈ {1, 2, 3, ...} ∪ {∞} ∪ {ω}. We also discuss irreducibility in multivariable differentiability classes. Moreover, we characterize irreducible functions and maximal ideals in C∞ [0, 1]. In fact, irreducible and prime smooth functions are the same, and every maximal ideal of C∞ [0, 1] is principal. © 2023 Michigan State University Press. All rights reserved.en_US
dc.description.sponsorshipThe authors would like to thank the referee for many valuable comments which immensely improved the quality of the manuscript.en_US
dc.language.isoenen_US
dc.publisherMichigan State University Pressen_US
dc.relation.ispartofReal Analysis Exchangeen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDifferentiability classesen_US
dc.subjectIrreducibilityen_US
dc.subjectMaximal and prime idealsen_US
dc.titleIrreducibility and primality in differentiability classesen_US
dc.typeArticleen_US
dc.institutionauthorBatal, Ahmet-
dc.institutionauthorGöral, Haydar-
dc.departmentİzmir Institute of Technology. Mathematicsen_US
dc.identifier.volume48en_US
dc.identifier.issue1en_US
dc.identifier.startpage119en_US
dc.identifier.endpage138en_US
dc.identifier.wosWOS:001113546500008en_US
dc.identifier.scopus2-s2.0-85152099098en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.doi10.14321/realanalexch.48.1.1660633299-
dc.authorscopusid6701719468-
dc.authorscopusid57221391537-
dc.authorscopusid55616260000-
dc.identifier.scopusqualityQ4-
item.fulltextNo Fulltext-
item.grantfulltextnone-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.languageiso639-1en-
item.cerifentitytypePublications-
crisitem.author.dept04.02. Department of Mathematics-
crisitem.author.dept04.02. Department of Mathematics-
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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