Stability in Commutative Rings

AY SAYLAM, Başak

doi:10.3906/mat-1911-101

Stability in Commutative Rings

Başak AY SAYLAM (İzmir Yüksek Teknoloji Enstitüsü)

Turkish Journal of Mathematics

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Yıl: 2020 Cilt: 44 Sayı: 3 Sayfa Aralığı: 801 - 812 Metin Dili: İngilizce DOI: 10.3906/mat-1911-101 İndeks Tarihi: 27-05-2020

Stability in Commutative Rings

Öz:

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 andan idempotent fractional ideal E of R such that I = JE . We prove useful facts for weakly ES-stability and investigatethis stability in Noetherian-like settings. Moreover, we discuss a question of A. Mimouni on locally weakly ES-stablerings: is a locally weakly ES-stable domain of finite character weakly ES-stable?

Anahtar Kelime:

Konular: Matematik

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	AY SAYLAM B (2020). Stability in Commutative Rings. , 801 - 812. 10.3906/mat-1911-101
Chicago	AY SAYLAM Başak Stability in Commutative Rings. (2020): 801 - 812. 10.3906/mat-1911-101
MLA	AY SAYLAM Başak Stability in Commutative Rings. , 2020, ss.801 - 812. 10.3906/mat-1911-101
AMA	AY SAYLAM B Stability in Commutative Rings. . 2020; 801 - 812. 10.3906/mat-1911-101
Vancouver	AY SAYLAM B Stability in Commutative Rings. . 2020; 801 - 812. 10.3906/mat-1911-101
IEEE	AY SAYLAM B "Stability in Commutative Rings." , ss.801 - 812, 2020. 10.3906/mat-1911-101
ISNAD	AY SAYLAM, Başak. "Stability in Commutative Rings". (2020), 801-812. https://doi.org/10.3906/mat-1911-101

APA	AY SAYLAM B (2020). Stability in Commutative Rings. Turkish Journal of Mathematics, 44(3), 801 - 812. 10.3906/mat-1911-101
Chicago	AY SAYLAM Başak Stability in Commutative Rings. Turkish Journal of Mathematics 44, no.3 (2020): 801 - 812. 10.3906/mat-1911-101
MLA	AY SAYLAM Başak Stability in Commutative Rings. Turkish Journal of Mathematics, vol.44, no.3, 2020, ss.801 - 812. 10.3906/mat-1911-101
AMA	AY SAYLAM B Stability in Commutative Rings. Turkish Journal of Mathematics. 2020; 44(3): 801 - 812. 10.3906/mat-1911-101
Vancouver	AY SAYLAM B Stability in Commutative Rings. Turkish Journal of Mathematics. 2020; 44(3): 801 - 812. 10.3906/mat-1911-101
IEEE	AY SAYLAM B "Stability in Commutative Rings." Turkish Journal of Mathematics, 44, ss.801 - 812, 2020. 10.3906/mat-1911-101
ISNAD	AY SAYLAM, Başak. "Stability in Commutative Rings". Turkish Journal of Mathematics 44/3 (2020), 801-812. https://doi.org/10.3906/mat-1911-101