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Dergiler / Turkish Journal of Mathematics / 2020 / Cilt: 44 - Sayı: 3

Stability in Commutative Rings

Başak Ay SAYLAM
Sayfa
801–812
Yayın Tarihi
2020-05-01
DOI
—
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Mimouni on locally weakly ES-stable rings: is a locally weakly ES-stable domain of finite character weakly ES-stable?

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Let R be a commutative ring with zero-divisors and I an ideal of R.
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Temel Bulgular & Veri: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 .
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Sonuç & Katkı:Mimouni on locally weakly ES-stable rings: is a locally weakly ES-stable domain of finite character weakly ES-stable?
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Weakly ES-stable rings · Prüfer rings · H-local rings

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?

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Bu Makaleye Atıf Yap

SAYLAM, B. A. (2020). Stability in Commutative Rings. Turkish Journal of Mathematics, Cilt: 44 - Sayı: 3, 801–812. https://ajindex.com/articles/193186

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