Semi-dualizing modules and related Gorenstein homological dimensions
Henrik Holm, Peter Jorgensen
Abstract
A semi-dualizing module over a commutative noetherian ring A is a finitely generated module C with RHomA(C,C) 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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