On dimension theory for complexes

A. F. Ivanov

doi:10.1070/SM1980v036n04ABEH001850

On dimension theory for complexes

A. F. Ivanov

Penn State Wilkes-Barre

Research output: Contribution to journal › Article › peer-review

Abstract

Passage from the category of modules to the derived category gives insight into some classical results of homological dimension theory, and also yields a proof of the nondegeneracy of the Yoneda multiplication (Equation presented), where the argument is a noetherian module (or a finite complex with noetherian homology) and A is a regular local ring.

Original language	English (US)
Pages (from-to)	469-481
Number of pages	13
Journal	Mathematics of the USSR - Sbornik
Volume	36
Issue number	4
DOIs	https://doi.org/10.1070/SM1980v036n04ABEH001850
State	Published - Apr 30 1980

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1070/SM1980v036n04ABEH001850

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abstract = "Passage from the category of modules to the derived category gives insight into some classical results of homological dimension theory, and also yields a proof of the nondegeneracy of the Yoneda multiplication (Equation presented), where the argument is a noetherian module (or a finite complex with noetherian homology) and A is a regular local ring.",

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On dimension theory for complexes

Abstract

All Science Journal Classification (ASJC) codes

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