Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/11417
Title: ES-w-stability
Authors: Ay Saylam, Başak
Hamdi, Haleh
Keywords: ES-stable domains
Krull domains
Weakly ES-stable domains
Issue Date: 2021
Publisher: Taylor & Francis
Abstract: We introduce and study the notion of ES-w-stability for an integral domain R. A nonzero ideal I of R is called ES-w-stable if (I-2)(w) = (JI)(w) for some t-invertible ideal J of R contained in I, and I is called weakly ES-w-stable if I-w = (JE)(w) for some t-invertible fractional ideal J of R and w-idempotent fractional ideal E of R. We define R to be an ES-w-stable domain (resp., a weakly ES-w-stable domain) if every nonzero ideal of R is ES-w-stable (resp., weakly ES-w-stable). These notions allow us to generalize some well-known properties of ES-stable and weakly ES-stable domains.
URI: https://doi.org/10.1080/00927872.2021.1898628
https://hdl.handle.net/11147/11417
ISSN: 0092-7872
1532-4125
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 SizeFormat 
00927872.2021.pdf2.08 MBAdobe PDFView/Open
Show full item record



CORE Recommender

Page view(s)

22,498
checked on Mar 4, 2024

Download(s)

4
checked on Mar 4, 2024

Google ScholarTM

Check




Altmetric


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