Complete intersection dimension | Zendy

Luchézar L. Avramov | Zendy; Vesselin Gasharov | Zendy; Irena Peeva | Zendy

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Complete intersection dimension

Author(s) -

Luchézar L. Avramov,

Vesselin Gasharov,

Irena Peeva

Publication year - 1997

Publication title -

publications mathématiques de l ihés

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 8.298

H-Index - 50

eISSN - 1618-1913

pISSN - 0073-8301

DOI - 10.1007/bf02698901

Subject(s) - global dimension , dimension (graph theory) , pure mathematics , mathematics , dimension theory (algebra) , invariant (physics) , noetherian ring , complete intersection , commutative property , local ring , noetherian , intersection (aeronautics) , class (philosophy) , commutative ring , algebra over a field , topology (electrical circuits) , ring (chemistry) , computer science , combinatorics , artificial intelligence , engineering , chemistry , organic chemistry , mathematical physics , aerospace engineering

A new homological invariant is introduced for a finite module over a commutative noetherian ring: its CI-dimension. In the local case, sharp quantitative and structural data are obtained for modules of finite CI-dimension, providing the first class of modules of (possibly) infinite projective dimension with a rich structure theory of free resolutions.

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