“School of Mathematics”
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| Paper IPM / M / 15658 |
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| Abstract: | |
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We introduce new homological dimensions, namely the Cohen-
Macaulay projective, injective and flat dimensions for homologically bounded
complexes. Among other things we show that (a) these invariants charac-
terize the Cohen-Macaulay property for local rings, (b) Cohen-Macaulay flat
dimension fits between the Gorenstein flat dimension and the large restricted
flat dimension, and (c) Cohen-Macaulay injective dimension fits between the
Gorenstein injective dimension and the Chouinard invariant.
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