Linearly equivalent topologies andlocally quasi-unmixed rings

Temel Bulgular & Veri:The main result of this paper asserts that $R$ is locally quasi-unmixed if and only if, the topologies defined by $overline{I^n}$ and $I^{langle nrangle}$, $ ngeq 1$, are equivalent.

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Sonuç & Katkı:In addition, some results about the behavior of linearly equivalent topologies of ideals under various ring homomorphisms are included.

🔬Tür:Araştırma Makalesi

📍Kapsam:Genişletilmiş Akademik Örneklem

⚙️Değişkenler:Alan Parametreleri

Abstract

Let $bar{I}$ denote the integral closure of an ideal in a Noetherian ring $R$. The main result of this paper asserts that $R$ is locally quasi-unmixed if and only if, the topologies defined by $overline{I^n}$ and $I^{langle nrangle}$, $ ngeq 1$, are equivalent. In addition, some results about the behavior of linearly equivalent topologies of ideals under various ring homomorphisms are included.

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Bu Makaleye Atıf Yap

Azari, A., Mollamahmoudi, S., Naghipour, R. (2022). Linearly equivalent topologies andlocally quasi-unmixed rings. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 4, 1131–1136. https://ajindex.com/articles/529752

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Kaynakça (12)

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