Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

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Institution Author: search.filters.institutionAuthor.Ay Saylam, BaşakPublisher: search.filters.publisher.TÜBİTAK - Türkiye Bilimsel ve Teknolojik Araştırma Kurumu

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    Citation - WoS: 1
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    Stability in Commutative Rings
    (TÜBİTAK - Türkiye Bilimsel ve Teknolojik Araştırma Kurumu, 2020) Ay Saylam, Başak
    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?