×

\(G\)-dimension. (English) Zbl 0864.13010

The \(G\)-dimension of complexes with finitely generated cohomology is defined. The finite \(G\)-dimension extends the corresponding notion for modules, hence extends the finite projective dimension. Among other applications, a version of the Auslander-Buchsbaum equality (for complexes with finite \(G\)-dimension) is proved.

MSC:

13D05 Homological dimension and commutative rings
13D25 Complexes (MSC2000)
PDFBibTeX XMLCite
Full Text: DOI EuDML