On the finiteness of the projective dimension of certain ideals
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- by Antonio G. Rodicio PDF
- Proc. Amer. Math. Soc. 103 (1988), 397-398 Request permission
Abstract:
For a local noetherian ring, a subset of a minimal system of generators of the maximal ideal is a regular sequence if the ideal it generates has finite projective dimension.References
- Tor H. Gulliksen and Gerson Levin, Homology of local rings, Queen’s Papers in Pure and Applied Mathematics, No. 20, Queen’s University, Kingston, Ont., 1969. MR 0262227
- Wolmer V. Vasconcelos, Ideals generated by $R$-sequences, J. Algebra 6 (1967), 309–316. MR 213345, DOI 10.1016/0021-8693(67)90086-5
Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 103 (1988), 397-398
- MSC: Primary 13D05; Secondary 18G20
- DOI: https://doi.org/10.1090/S0002-9939-1988-0943053-9
- MathSciNet review: 943053