# zbMATH — the first resource for mathematics

$$G$$-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)
##### Keywords:
$$G$$-dimension of complexes
Full Text: