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Asymptotic properties of Betti numbers of modules over certain rings

โœ Scribed by Jack Lescot

Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
677 KB
Volume
38
Category
Article
ISSN
0022-4049

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๐Ÿ“œ SIMILAR VOLUMES

Betti Numbers of Modules of Exponent Two
Betti Numbers of Modules of Exponent Two over Regular Local Rings
โœ Shou-Te Chang ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 271 KB

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 .