Reflexive modules over regular local rings
โ Scribed by M. I. Jinnah
- Book ID
- 112500818
- Publisher
- Springer
- Year
- 1975
- Tongue
- English
- Weight
- 228 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We show that the following two conditions, for each integer r G 1, are equivalent for a finitely generated module M over a complete Noetherian local ring ลฝ . R, แ : embeddable in E r , where E denotes the injective hull of the residue field Rrแ. ลฝ . r ลฝ . b Either M ; E , or else dim Hom Rrแ, M s k
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 .