Recent progress in coherent rings: a homological perspective (Q2895437)
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: Recent progress in coherent rings: a homological perspective |
scientific article; zbMATH DE number 6052214
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Recent progress in coherent rings: a homological perspective |
scientific article; zbMATH DE number 6052214 |
Statements
2 July 2012
0 references
Gorenstein dimension
0 references
FP-injective dimension
0 references
coherent ring
0 references
Gorenstein
0 references
Cohen-Macaulay
0 references
complete intersection
0 references
Recent progress in coherent rings: a homological perspective (English)
0 references
The theories of noetherian regular, Gorenstein, and Cohen-Macaulay rings are well-behaved and firmly established. A recent development in commutative algebra is the study of coherent regular, Gorenstein, and Cohen-Macaulay rings. The present paper surveys this development. It turns out that -- with the proper definitions and adjustments of notions like depth and systems of parameters -- coherent regular, Gorenstein, and Cohen-Macaulay rings behave much like their noetherian counterparts. The paper also discusses possible definitions of coherent complete intersection rings.NEWLINENEWLINEFor the entire collection see [Zbl 1237.13005].
0 references
