Semi-dualizing modules and related Gorenstein homological dimensions

Details Semi-dualizing modules and related Gorenstein homological dimensions Semi-dualizing modules and related Gorenstein homological dimensions

2004-05-27

arxiv.org/abs/math/0405526v1

Mathematics

Commutative Algebra

25 pages

Scientific paper

A semi-dualizing module over a commutative noetherian ring A is a finitely
generated module C with RHom_A(C,C) \simeq A in the derived category D(A).
We show how each such module gives rise to three new homological dimensions
which we call C-Gorenstein projective, C-Gorenstein injective, and C-Gorenstein
flat dimension, and investigate the properties of these dimensions.

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