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 |
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00927872.2021.pdf Until 2024-01-01 | 2.08 MB | Adobe PDF | View/Open Request a copy |
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