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Hereditary Noetherian rings

โœ Scribed by Abraham Zaks


Book ID
107774187
Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
845 KB
Volume
29
Category
Article
ISSN
0021-8693

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๐Ÿ“œ SIMILAR VOLUMES


Hereditary Noetherian Prime Rings 1. Int
โœ Lawrence S Levy; J.Chris Robson ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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
โœ Lawrence S Levy; J.Chris Robson ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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 โŠ• X โˆผ = Q โŠ• X implies P โˆผ = Q whenever P has uniform dimension at least 2. Among t