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Semi-dualizing modules and related Gorenstein homological dimensions

Henrik Holm·Peter Jorgensen
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Abstract

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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Henrik Holm, Peter Jorgensen. 2004-05-27. Semi-dualizing modules and related Gorenstein homological dimensions. https://arxiv.org/abs/math/0405526

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