𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Minimal Injective and Flat Resolutions of Modules over Gorenstein Rings

✍ Scribed by J.Z. Xu

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
998 KB
Volume
175
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Gorenstein Flat Covers of Modules over G
Gorenstein Flat Covers of Modules over Gorenstein Rings
✍ Edgar Enochs; Jinzhong Xu πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 220 KB

A left and right Noetherian ring R is called Gorenstein if both R and R have R R finite injective dimensions. These rings were studied by Bass for the commutative case and Iwanaga for the noncommutative case. In this paper, we define Gorenstein flat modules over a Gorenstein ring. These modules are

Weakly minimal modules over integral gro
Weakly minimal modules over integral group rings and over related classes of rings
✍ Stefano Leonesi; Sonia L'Innocente; Carlo Toffalori πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 204 KB

A module is weakly minimal if and only if every pp-definable subgroup is either finite or of finite index. We study weakly minimal modules over several classes of rings, including valuation domains, PrΓΌfer domains and integral group rings.

Finite Length and Pure-Injective Modules
Finite Length and Pure-Injective Modules over a Ring of Differential Operators
✍ Gennadi Puninski πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 123 KB

ww xx Let k be an algebraically closed field of characteristic zero, O O s k x , . . . , x n 1 n the ring of formal power series over k, and D D the ring of differential operators n over O O . Suppose that is a prime ideal of O O of height n y 1; i.e., A s O O r is a n n n curve. We prove that every