Mathematics / Matematik

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Access type: Metadata onlyAuthor: search.filters.author.Batal, Ahmet

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  • Article
    Citation - WoS: 1
    Citation - Scopus: 1
    Irreducibility and Primality in Differentiability Classes
    (Michigan State University Press, 2023) Batal, Ahmet; Eyidoğan, S.; Göral, Haydar
    In 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.