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arXiv · 1904.03586

Cohen-Macaulay homological dimensions

Parviz Sahandi·Tirdad Sharif·Siamak Yassemi
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Abstract

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 characterize 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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Parviz Sahandi, Tirdad Sharif, Siamak Yassemi. 2019-04-07. Cohen-Macaulay homological dimensions. https://arxiv.org/abs/1904.03586

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