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math.AC2009★ 2 cited
Gröbner bases of simplicial toric ideals
M. Hellus, J. Stueckrad, L. T. Hoa
Bounds for the maximum degree of a minimal Gröbner basis of simplicial toric ideals with respect to the reverse lexicographic order are given. These bounds are close to the bound s…
math.AC2007
Gröbner bases of simplicial toric ideals
M. Hellus, J. Stueckrad, L. T. Hoa
Bounds for the maximal degree of certain Gröbner bases of simplicial toric ideals are given. These bounds are close to the bound stated in Eisenbud-Goto's Conjecture on the Casteln…
math.AC2007
Reducing system of parameters and the Cohen--Macaulay property
Bjorn Maurer, Jurgen Stuckrad
Let be a local ring and let ($x_1\biss x_r$) be part of a system of parameters of a finitely generated -module where . We will show that if ($y_1\biss y_r…