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\(G\)-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)
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