# SubalgebraBases in Macaulay2

## TL;DR

This paper presents an updated software package in Macaulay2 for computing and manipulating subalgebra bases, including SAGBI and Khovanskii bases, with practical examples demonstrating its functionality.

## Contribution

The paper introduces a revived version of the SubalgebraBases package in Macaulay2, enhancing tools for subalgebra basis computations in polynomial rings.

## Key findings

- The package successfully computes subalgebra bases for various examples.
- Demonstrates the package's utility in algebraic computations.
- Provides an overview of the package's design and capabilities.

## Abstract

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.