Nearly extremal Cohen–Macaulay and Gorenstein algebras
نویسندگان
چکیده
منابع مشابه
Derived equivalences and Gorenstein algebras
In this note, we introduce the notion of Gorenstein algebras. Let R be a commutative Gorenstein ring and A a noetherian R-algebra. We call A a Gorenstein R-algebra if A has Gorenstein dimension zero as an R-module (see [2]), add(D(AA)) = PA, where D = HomR(−, R), and Ap is projective as an Rpmodule for all p ∈ Spec R with dim Rp < dim R. Note that if dim R = ∞ then a Gorenstein R-algebra A is p...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 2007
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700039149