Cohen-Macaulay injective, projective, and flat dimension
classification
🧮 math.AC
keywords
cohen-macaulaydimensionflatinjectiveprojectivedimensionscharacterizesclassical
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We define three new homological dimensions - Cohen-Macaulay injective, projective, and flat dimension - which inhabit a theory similar to that of classical injective, projective, and flat dimension. Finiteness of the new dimensions characterizes Cohen-Macaulay rings with dualizing modules.
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