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Workshop

SAGBI and Gröbner Bases Detection

  • Elima Shehu (Otto-von-Guericke-Universität Magdeburg, Germany)
Felix-Klein-Hörsaal Universität Leipzig (Leipzig)

Abstract

In this talk, we will introduce the detection algorithm for SAGBI bases in polynomial rings, which is analogous to the Gröbner basis detection algorithm previously proposed by Gritzmann and Sturmfels. We will explore the software package SagbiGbDetection, and demonstrate its functionality with concrete examples. This package enables users to identify term orders for which a given set of input polynomials forms either a Gröbner basis for the ideal they generate or a SAGBI basis for the subalgebra.

conference
29.07.24 02.08.24

MEGA 2024

MPI für Mathematik in den Naturwissenschaften Leipzig (Leipzig) E1 05 (Leibniz-Saal)
Universität Leipzig (Leipzig) Felix-Klein-Hörsaal

Mirke Olschewski

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Saskia Gutzschebauch

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Christian Lehn

Ruhr-Universität Bochum

Irem Portakal

Max Planck Institute for Mathematics in the Sciences

Rainer Sinn

Universität Leipzig

Bernd Sturmfels

Max Planck Institute for Mathematics in the Sciences

Simon Telen

Max Planck Institute for Mathematics in the Sciences

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