๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Endomorphism rings of infinitely generated projective modules

โœ Scribed by B.R McDonald

Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
603 KB
Volume
45
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Hereditary Noetherian prime rings, 3: In
Hereditary Noetherian prime rings, 3: Infinitely generated projective modules
โœ Lawrence S. Levy; J. Chris Robson ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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

Hereditary Noetherian Prime Rings 2. Fin
Hereditary Noetherian Prime Rings 2. Finitely Generated Projective Modules
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

The Structure of Countably Generated Pro
The Structure of Countably Generated Projective Modules Over Regular Rings
โœ P. Ara; E. Pardo; F. Perera ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 287 KB

We prove that, for every regular ring R, there exists an isomorphism between the monoids of isomorphism classes of finitely generated projective right modules ลฝ ลฝ . . ลฝ . over the rings End R and RCFM R , where the latter denotes the ring of R R countably infinite row-and column-finite matrices over