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Quasi-projective modules over prime hereditary noetherian V-rings are projective or injective

✍ Scribed by Hai Q. Dinh; Christopher J. Holston; Dinh V. Huynh


Book ID
113675530
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
124 KB
Volume
360
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES


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

Hereditary Noetherian prime rings, 3: In
✍ Lawrence S. Levy; J. Chris Robson πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 153 KB

We describe the structure of infinitely generated projective modules over hereditary Noetherian prime rings. The isomorphism invariants are uniform dimension and ranks at maximal ideals. Infinitely generated projective modules need not be free. However, every uncountably generated projective module