Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/13390
Title: Irreducibility and primality in differentiability classes
Authors: Batal, Ahmet
Eyidoğan, S.
Göral, Haydar
Keywords: Differentiability classes
Irreducibility
Maximal and prime ideals
Issue Date: 2023
Publisher: Michigan State University Press
Abstract: 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.
URI: https://doi.org/10.14321/realanalexch.48.1.1660633299
https://hdl.handle.net/11147/13390
ISSN: 0147-1937
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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