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Compact DG modules and Gorenstein DG algebras

✍ Scribed by XueFeng Mao; QuanShui Wu

Book ID
107347904
Publisher
SP Science China Press
Year
2009
Tongue
English
Weight
419 KB
Volume
52
Category
Article
ISSN
1674-7283

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I first define Koszul modules, which are a generalization to arbitrary rank of complete intersections. After a study of some of their properties, it is proved that Gorenstein algebras of codimension one or two over a local or graded CM ring are Koszul modules, thus generalizing a well known statemen

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Let B be a graded Cohen᎐Macaulay quotient of a Gorenstein ring, R. It is known that sections of the dual of the canonical module, K , can be used to B construct Gorenstein quotients of R. The purpose of this paper is to place this method of construction into a broader context. If M is a maximal Cohe