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Some morphisms of modules over the ring of pseudorational numbers

โœ Scribed by A. V. Tsarev

Publisher
SP MAIK Nauka/Interperiodica
Year
2008
Tongue
English
Weight
156 KB
Volume
49
Category
Article
ISSN
0037-4466

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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 .