Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/10368
Title: Stability in commutative rings
Authors: Ay Saylam, Başak
Keywords: Rings (Algebra)
Prüfer rings
Noetherian rings
Issue Date: 2020
Publisher: TÜBİTAK - Türkiye Bilimsel ve Teknolojik Araştırma Kurumu
Abstract: Let R be a commutative ring with zero-divisors and I an ideal of R. I is said to be ES-stable if JI = $I^2$ for some invertible ideal J ? I , and I is said to be a weakly ES-stable ideal if there is an invertible fractional ideal J and an idempotent fractional ideal E of R such that I = JE . We prove useful facts for weakly ES-stability and investigate this stability in Noetherian-like settings. Moreover, we discuss a question of A. Mimouni on locally weakly ES-stable rings: is a locally weakly ES-stable domain of finite character weakly ES-stable?
URI: https://doi.org/10.3906/mat-1911-101
https://hdl.handle.net/11147/10368
https://search.trdizin.gov.tr/yayin/detay/338641
ISSN: 1300-0098
1303-6149
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
TR Dizin İndeksli Yayınlar / TR Dizin Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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