SubalgebraBases in Macaulay2

02/24/2023

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by   Michael Burr, et al.

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We describe a recently revived version of the software package SubalgberaBases, which is distributed in the Macaulay2 computer algebra system. The package allows the user to compute and manipulate subagebra bases – which are also known as SAGBI bases or canonical bases and form a special class of Khovanskii bases – for polynomial rings and their quotients. We provide an overview of the design and functionality of SubalgberaBases and demonstrate how the package works on several motivating examples.