Hereditary Noetherian rings
โ Scribed by Abraham Zaks
- Book ID
- 107774187
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 845 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ 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 โ X โผ = Q โ X implies P โผ = Q whenever P has uniform dimension at least 2. Among t