Fitting ideals and the Gorenstein property
نویسندگان
چکیده
منابع مشابه
Schematic Algebras and the Auslander-Gorenstein Property
Noncommutative algebraic geometry studies a certain quotient category Rqgr of the category of graded R-modules which for commutative R is equivalent to the category of quasi-coherent sheaves by a famous theorem of Serre. For a large class of graded algebras, the so-called schematic algebras, we are able to construct a kind of scheme such that the coherent sheaves on it are equivalent to R-qgr. ...
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Let I be an m-primary ideal in a Gorenstein local ring (A,m) with dimA = d, and assume that I contains a parameter ideal Q in A as a reduction. We say that I is a good ideal in A if G = ∑ n≥0 I n/In+1 is a Gorenstein ring with a(G) = 1−d. The associated graded ring G of I is a Gorenstein ring with a(G) = −d if and only if I = Q. Hence good ideals in our sense are good ones next to the parameter...
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ژورنال
عنوان ژورنال: Archiv der Mathematik
سال: 2009
ISSN: 0003-889X,1420-8938
DOI: 10.1007/s00013-009-0069-5