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math.AC2002★ 2 cited
Castelnuovo-Mumford regularity and extended degree
Maria Evelina Rossi, Ngo Viet Trung, Giuseppe Valla
The main result of this paper shows that the Castelnuovo-Mumford regularity of the tangent cone of a local ring is effectively bounded by the dimension and any extended degree. Fro…
math.AC2002★ 2 cited
Notes on the behavior of the Ratliff-Rush filtration
Maria Evelina Rossi, Irena Swanson
We establish new classes of Ratliff-Rush closed ideals and some pathological behavior of the Ratliff-Rush closure. In particular, Ratliff-Rush closure does not behave well under pa…