Gorenstein homological dimensions. (English) Zbl 1050.16003

Holm, Henrik

J. Pure Appl. Algebra 189, No. 1-3, 167-193 (2004).

The paper under review deals with the notions of Gorenstein projective, Gorenstein injective, and Gorenstein flat dimensions, which are refinements of the corresponding classical dimensions. Using homological techniques, the author generalizes a multitude of results to the setting of arbitrary associative rings.

Reviewer: Alex Martsinkovsky (Boston)

MSC:

16E10	Homological dimension in associative algebras
16E30	Homological functors on modules (Tor, Ext, etc.) in associative algebras

Keywords:

Gorenstein projective dimension; Gorenstein injective dimension; Gorenstein flat dimension

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