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Syzygy Modules for Noetherian Rings

✍ Scribed by Maurice Auslander; Idun Reiten


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
220 KB
Volume
183
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES


Hereditary Noetherian Prime Rings 1. Int
✍ Lawrence S Levy; J.Chris Robson πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 185 KB

This is the first of three papers that aim to bring the known theory of projective modules over a hereditary Noetherian prime ring R up to roughly the same level as the well-known commutative case, where R is a Dedekind domain. This first paper lays the foundations by introducing the notion of an in

Hereditary Noetherian Prime Rings 2. Fin
✍ 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