A differential criterion for complete intersections.
Bart De Smit (1997)
Collectanea Mathematica
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Displaying similar documents to “Complexes and ideals' resolutions”
A differential criterion for complete intersections.
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Anne-Marie Simon (1995)
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Winfried Bruns (1982)
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Luchezar L. Avramov, Vesselin N. Gasharov, Irena V. Peeva (1997)
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Dorin Popescu, Marko Roczen (1990)
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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
Minimal injective resolutions
Robert M. Fossum (1974-1975)
Séminaire Dubreil. Algèbre et théorie des nombres
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