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On the reduction number of some graded algebras
Authors:Henrik Bresinsky    Tuâ  n Hoa
Institution:Department of Mathematics, University of Maine, Orono, Maine 04469-5752 ; Institute of Mathematics, Box 631, Bò Hô, Hanoi, Vietnam
Abstract:The main result of the paper confirms, for generic coordinates, a conjecture which states that $r(R/I) \le r(R/in(I))$. Here $I$ is a homogeneous polynomial ideal in $R$ and $r(R/I)$ and $r(R/in(I))$ are the reduction numbers.

Keywords:Monomial ideal  Borel-fixed ideal  generic coordinates  reduction number
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