Local-global bounds for number of generators of projective modules over polynomial rings
โ Scribed by Paulo R Brumatti
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 398 KB
- Volume
- 88
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
Let R, m, K be a regular local ring of dimension n and let M be a finite length module over R. This paper gives an affirmative answer to Horrocks' questions when m 2 M s 0, that is, in this case the rank of the ith syzygy of M is at and the ith Betti number of M is at least .