Oana Veliche

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math.AC2006

A test complex for Gorensteinness

Lars Winther Christensen, Oana Veliche

Let $R$ be a commutative noetherian ring with a dualizing complex. By recent work of Iyengar and Krause, the difference between the category of acyclic complexes and its subcategor…

math.AC2006

Acyclicity over local rings with radical cube zero

Lars Winther Christensen, Oana Veliche

This paper studies infinite acyclic complexes of finitely generated free modules over a commutative noetherian local ring $(R, m)$ with $m^{3} = 0$ . Conclusive results are obtained on t…

math.AC2005

Stable cohomology over local rings

Luchezar L. Avramov, Oana Veliche

The focus of this paper is on a poorly understood invariant of a commutative noetherian local ring $R$ with residue field $k$ : the stable cohomology modules $E x t^_{R}^{n} (k, k)$ ,…

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…