Relatively Noetherian rings, localization and sheaves. I: The relative second layer condition (Q1327521)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Relatively Noetherian rings, localization and sheaves. I: The relative second layer condition |
scientific article; zbMATH DE number 590951
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Relatively Noetherian rings, localization and sheaves. I: The relative second layer condition |
scientific article; zbMATH DE number 590951 |
Statements
Relatively Noetherian rings, localization and sheaves. I: The relative second layer condition (English)
0 references
12 July 1994
0 references
The authors introduce a relative version of the (strong) second layer condition for rings \(R\) which are relatively Noetherian with respect to some radical in \(R\)-mod and study its impact on the Artin-Rees property. The paper also contains a study of a relative version of the (weak) Artin-Rees property for the ring \(R\) and its characterizations in various ways using the notions of biradicals, stable radicals, and link closedness.
0 references
relative Noetherian rings
0 references
second layer condition
0 references
Artin-Rees property
0 references
biradicals
0 references
stable radicals
0 references
link closedness
0 references
