Cohen-Macaulay homological dimensions
Commutative Algebra
2019-04-09 v1
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.
Cite
@article{arxiv.1904.03586,
title = {Cohen-Macaulay homological dimensions},
author = {Parviz Sahandi and Tirdad Sharif and Siamak Yassemi},
journal= {arXiv preprint arXiv:1904.03586},
year = {2019}
}
Comments
To appear in Mathematica Scandinavica