Semi-dualizing modules and related Gorenstein homological dimensions
classification
🧮 math.AC
keywords
c-gorensteindimensionsmodulehomologicalsemi-dualizingcallcategorycommutative
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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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