Syzygy Modules for Noetherian Rings
β 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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π SIMILAR VOLUMES
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
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 β X βΌ = Q β X implies P βΌ = Q whenever P has uniform dimension at least 2. Among t