Title: Asymptotic properties of Betti numbers of modules over certain rings
Abstract: Throughout this paper, all rings are assumed to be commutative noetherian local rings with common residue field k. Let (R, m) be a local ring with maximal ideal m. If M is a finitely generated Rmodule, the Betti numbers of M are the integers b,(M) = dimk Tor”(M, k). The purpose of this paper is to study the asymptotic behaviour of the sequence b,(M) over two classes of rings: Rings of the form S/Jn, (S, n) local ring and J ideal of S, and rings (R, m) with m3 = 0. In [l, 5.81 Avramov states the following problem:
Publication Year: 1985
Publication Date: 1985-11-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 47
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