Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

Permanent URI for this collectionhttps://hdl.handle.net/11147/7148

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Access type: Open accessSubject: search.filters.subject.Valuation rings

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  • Article
    Unique decompositions into regular ideals for Marot rings
    (Taylor & Francis, 2022) Ay Saylam, Başak; Gürbüz, Ezgi
    Let R be a commutative ring. We say that R has the unique decomposition into regular ideals (UDRI) property if, for any R-module which decomposes into a finite direct sum of regular ideals, this decomposition is unique up to the order and isomorphism class of the regular ideals. In this paper, we will prove some preliminary results for Marot rings whose regular ideals are finitely generated and give a necessary and sufficient condition for these rings to satisfy the UDRI property.
  • Article
    Citation - WoS: 3
    Citation - Scopus: 3
    Modules Over Prüfer Domains Which Satisfy the Radical Formula
    (Cambridge University Press, 2007) Buyruk, Dilek; Pusat, Dilek
    In this paper we prove that if R is a Prüfer domain, then the R-module R ⊕ R satisfies the radical formula. © 2007 Glasgow Mathematical Journal Trust.