Finiteness in derived categories of local rings

Autores: W. Dwyer, John P. C. Greenlees
Localización: Commentarii mathematici helvetici, ISSN 0010-2571, Vol. 81, Nº 2, 2006, págs. 383-432
Idioma: inglés
DOI: 10.4171/cmh/56
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Resumen
- New homotopy invariant finiteness conditions on modules over commutative rings are introduced, and their properties are studied systematically. A number of finiteness results for classical homological invariants like flat dimension, injective dimension, and Gorenstein dimension, are established. It is proved that these specialize to give results concerning modules over complete intersection local rings. A noteworthy feature is the use of techniques based on thick subcategories of derived categories.