𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On rings whose finitely generated faithful modules are generators

✍ Scribed by Dolors Herbera; Pere Menal

Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
886 KB
Volume
122
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Integral Closure of a Ring Whose Regular
Integral Closure of a Ring Whose Regular Ideals Are Finitely Generated
✍ Gyu Whan Chang; Byung Gyun Kang πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 94 KB

We show that if R is a commutative ring with identity whose regular ideals are finitely generated, then the integral closure of R is a Krull ring. This is a generalization of the Mori᎐Nagata theorem that the integral closure of a Noethe-Ž .

Finitely Generated Modules over Pullback
Finitely Generated Modules over Pullback Rings
✍ David M. Arnold; Reinhard C. Laubenbacher πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 273 KB

The purpose of this paper is to outline a new approach to the classification of finitely generated indecomposable modules over certain kinds of pullback rings. If R is the pullback of two hereditary noetherian homogeneously serial rings, finitely generated over their centers, over a common semi-simp

Hereditary Noetherian Prime Rings 2. Fin
Hereditary Noetherian Prime Rings 2. Finitely Generated Projective Modules
✍ Lawrence S Levy; J.Chris Robson πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 219 KB

Let R be a hereditary Noetherian prime ring. We determine a full set of invariants for the isomorphism class of any finitely generated projective R-module of uniform dimension at least 2. In particular we prove that P βŠ• X ∼ = Q βŠ• X implies P ∼ = Q whenever P has uniform dimension at least 2. Among t