Semi-dualizing modules and related Gorenstein homological dimensions
Commutative Algebra
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0405526,
title = {Semi-dualizing modules and related Gorenstein homological dimensions},
author = {Henrik Holm and Peter Jorgensen},
journal= {arXiv preprint arXiv:math/0405526},
year = {2007}
}
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25 pages