Recognizing dualizing complexes
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2007-05-23 v1 环与代数
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摘要
Let A be a noetherian local commutative ring and let M be a suitable complex of A-modules. This paper proves that M is a dualizing complex for A if and only if the trivial extension A \ltimes M is a Gorenstein Differential Graded Algebra. As a corollary follows that A has a dualizing complex if and only if it is a quotient of a Gorenstein local Differential Graded Algebra.
引用
@article{arxiv.math/0303105,
title = {Recognizing dualizing complexes},
author = {Peter Jorgensen},
journal= {arXiv preprint arXiv:math/0303105},
year = {2007}
}
备注
9 pages. To appear in Fundamenta Mathematicae