Castelnuovo's Regularity and Multiplicity.
Wolfgang Vogel, Jürgen Stückrad (1988)
Mathematische Annalen
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Displaying similar documents to “Bounds on Castelnuovo-Mumford regularity for generalized Cohen-Macaulay graded rings.”
Castelnuovo's Regularity and Multiplicity.
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Let A be a noetherian local commutative ring and let M be a suitable complex of A-modules. It is proved that M is a dualizing complex for A if and only if the trivial extension A ⋉ M is a Gorenstein differential graded algebra. As a corollary, A has a dualizing complex if and only if it is a quotient of a Gorenstein local differential graded algebra.
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