7 citations · 7 across the 2 of their papers we have counts for
2 papers
math.AC2014
Deterministically Computing Reduction Numbers of Polynomial Ideals
Amir Hashemi, Michael Schweinfurter, Werner M. Seiler
We discuss the problem of determining reduction number of a polynomial ideal I in n variables. We present two algorithms based on parametric computations. The first one determines…
cs.SC2012★ 7 cited
Quasi-Stability versus Genericity
Amir Hashemi, Michael Schweinfurter, Werner M. Seiler
Quasi-stable ideals appear as leading ideals in the theory of Pommaret bases. We show that quasi-stable leading ideals share many of the properties of the generic initial ideal. In…