Ore localisation for differential graded rings; towards Goldie's theorem for differential graded algebras

被引：0
|
作者：
Zimmermann, Alexander [1 ,2 ]
机构：
[1] Univ Picardie, Dept Math, 33 Rue St Leu, Amiens 1, France
[2] LAMFA, UMR 7352 CNRS, 33 Rue St Leu, F-80039 Amiens 1, France
来源：
JOURNAL OF ALGEBRA | 2025年 / 663卷
关键词：
Goldie's theorem; Differential graded algebras; Ore localisation;
D O I：
10.1016/j.jalgebra.2024.08.032
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study Ore localisation of differential graded algebras. Further we define dg-prime rings, dg-semiprime rings, and study the dg-nil radical of dg-rings. Then, we define dg- essential submodules, dg-uniform dimension, and apply all this to a dg-version of Goldie's theorem on prime dg-rings.
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页码：48 / 80
页数：33
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