## Abstract We give a constructive proof of the fact that finitely generated projective modules over a polynomial ring with coefficients in a PrΓΌfer domain **R** with Krull dimension β€ 1 are extended from **R**. In particular, we obtain constructively that finitely generated projective **R**[__X__~
β¦ LIBER β¦
Seminormality and projective modules over polynomial rings
β Scribed by J.W Brewer; D.L Costa
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 536 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Projective modules over polynomial rings
β
S. Barhoumi; H. Lombardi; I. Yengui
π
Article
π
2009
π
John Wiley and Sons
π
English
β 138 KB
Some theorems about projective modules o
β
S.M Bhatwadekar; A Roy
π
Article
π
1984
π
Elsevier Science
π
English
β 480 KB
Cancellation Properties of Projective Mo
β
A. Wiemers
π
Article
π
1993
π
Elsevier Science
π
English
β 469 KB
Some cancellation theorems about project
β
S.M Bhatwadekar; A Roy
π
Article
π
1987
π
Elsevier Science
π
English
β 558 KB
Projective Modules over Witt Rings
β
Robert W. Fitzgerald
π
Article
π
1996
π
Elsevier Science
π
English
β 250 KB
For several classes of commutative rings R it is known that every finitely generated projective R-modules is isomorphic to a direct sum of a free w x R-module and an invertible ideal of R. For instance, Steinitz 27 essenw x tially proved this for Dedekind domains. Serre 25 proved the same result for
Projective modules over group rings
β
Pramod K Sharma
π
Article
π
1971
π
Elsevier Science
π
English
β 547 KB