Adic-completion and some dual homological results.

Anne-Marie Simon

Displaying similar documents to “Adic-completion and some dual homological results.”

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 $M$ , $dim M^{\lor}$ is the greatest integer $i$ such that $H_{𝔪}^{i} (M^{\lor}) \neq 0$ .

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 $\oplus$ -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.