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- W2051229707 abstract "ABsTRAcr. Let D be a Dedekind domain and M a rank-one torsion-free D-module. An analysis of A SD(M), the symmetric algebra of M, yields the following information: THEORm. (l) Tor-dim A < 2 and ifJ M K, the quotient field of D; (2) A is coherent; (3) Global dim A -2. For higher rank modules coherence is not assured and only rough estimates of the dimensions are found. On the other hand, if SD(M) is a domain of global dimension two, then M has rank one but the dimension of D may be two. If D is local of dimension two then M K." @default.
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- W2051229707 date "1978-01-01" @default.
- W2051229707 modified "2023-09-26" @default.
- W2051229707 title "The homological dimensions of symmetric algebras" @default.
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- W2051229707 doi "https://doi.org/10.1090/s0002-9947-1978-0457425-0" @default.
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