✨
Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
It is shown that, whenever I is principal, then for each integer $i$ the set of associated prime ideals $Ass_R Ext^i_R(R/I^n , M)$, $n = 1, 2, . . . ,$ becomes independent of $n$, for large $n$.
📌 3 Maddede Bu Makale
🎯
Amaç & Hipotez:Let R be a commutative Noetherian ring, I an ideal of R and M a finitely generated R-module.
📊
Temel Bulgular & Veri:Let R be a commutative Noetherian ring, I an ideal of R and M a finitely generated R-module.
💡
Sonuç & Katkı:It is shown that, whenever I is principal, then for each integer $i$ the set of associated prime ideals $Ass_R Ext^i_R(R/I^n , M)$, $n = 1, 2, . . . ,$ becomes independent of $n$, for large $n$.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Artinian module · Associated prime · Depth
Abstract
Let R be a commutative Noetherian ring, I an ideal of R and M a finitely generated R-module. It is shown that, whenever I is principal, then for each integer $i$ the set of associated prime ideals $Ass_R Ext^i_R(R/I^n , M)$, $n = 1, 2, . . . ,$ becomes independent of $n$, for large $n$.
Anahtar kelimeler
🔖
Bu Makaleye Atıf Yap
SEHATKHAH, M., BAHMANPOU, K., NAGHIPOUR, R. (2022). Asymptotic behavior of associated primes of certain ext modules. Hacettepe Journal of Mathematics and Statistics, Cilt: 45 - Sayı: 5, 1329–1334. https://ajindex.com/articles/530233