424 citations
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Showing 2004 · math.ACShow all
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math.AC2004★ 43 cited
A formula for the core of an ideal
Claudia Polini, Bernd Ulrich
The core of an ideal is the intersection of all its reductions. For large classes of ideals I we explicitly describe the core as a colon ideal of a power of a single reduction and…
math.AC2004
Gorenstein projective dimension for complexes
Oana Veliche
We define and study a notion of Gorenstein projective dimension for complexes of left modules over associative rings. For complexes of finite Gorenstein projective dimension we def…
math.AC2004
The Gorenstein and complete intersection properties of associated graded rings
William Heinzer, Mee-Kyoung Kim, Bernd Ulrich
Let I be an m-primary ideal of a Noetherian local ring (R,m). We consider the Gorenstein and complete intersection properties of the associated graded ring G(I) and the fiber cone…