On the non-vanishing of local cohomology modules
Siamak Yassemi (1997)
Czechoslovak Mathematical Journal
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It is shown that for any Artinian modules , is the greatest integer such that .
Displaying similar documents to “Adic-completion and some dual homological results.”
On the non-vanishing of local cohomology modules
On the Jacobian criterion of formal smoothness.
Antonio G. Rodicio (1989)
Publicacions Matemàtiques
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We give a short proof of the Jacobian criterion of formal smoothness using the Lichtenbaum-Schlessinger cotangent complex.
On the free character of the first Koszul homology module.
Antonio García Rodicio (1991)
Extracta Mathematicae
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Let (A,M,K) denote a local noetherian ring A with maximal ideal M and residue field K. Let I be an ideal of A and E the Koszul complex generated over A by a system of generators of I.
The condition: H1(E) is a free A/I-module, appears in several important results of Commutative Algebra. For instance:
- (Gulliksen [3, Proposition 1.4.9]): The ideal I is generated by a regular sequence if and only if I has finite projective dimension and H
A property of A-sequences
R. Hartshorne (1966)
Bulletin de la Société Mathématique de France
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On commutative FGI-Rings.
M. Barry, C. T. Gueye, M. Sanghare (1997)
Extracta Mathematicae
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On some properties of -supplemented modules.
Idelhadj, A., Tribak, R. (2003)
International Journal of Mathematics and Mathematical Sciences
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On the algebraic compactness of some complete modules
S. Bazzoni (1976)
Rendiconti del Seminario Matematico della Università di Padova
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Exact sequences of pairs in commutative rings
R. Kiełpiński, G. Simson, A. Tyc (1978)
Fundamenta Mathematicae
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Upper bounds for the cohomological dimensions of finitely generated modules over a commutative Noetherian ring
Ghader Ghasemi, Kamal Bahmanpour, Jafar A'zami (2014)
Colloquium Mathematicae
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Let R be a commutative Noetherian ring, I a proper ideal of R, and M be a finitely generated R-module. We provide bounds for the cohomological dimension of the R-module M with respect to the ideal I in several cases.