Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/12410
Title: Unique decompositions into regular ideals for Marot rings
Authors: Ay Saylam, Başak
Gürbüz, Ezgi
Izmir Institute of Technology
Izmir Institute of Technology
Keywords: h-local rings
Marot rings
Regular localization
Valuation rings
Issue Date: 2022
Publisher: Taylor & Francis
Abstract: 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.
URI: http://dx.doi.org/10.1080/00927872.2022.2084552
https://hdl.handle.net/11147/12410
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

Files in This Item:
File Description SizeFormat 
00927872.2022.pdf
  Until 2025-07-01
Article1.29 MBAdobe PDFView/Open    Request a copy
Show full item record



CORE Recommender

Page view(s)

10,206
checked on Feb 26, 2024

Google ScholarTM

Check




Altmetric


Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.