GAP Package GBNP

The GBNP package provides algorithms for computing Gröbner bases of noncommutative polynomials with coefficients from a field implemented in GAP and with respect to the “total degree first then lexicographical” ordering. Further provided are some variations, such as a weighted and truncated version and a tracing facility. The word “algorithm” is to be interpreted loosely here: in general one cannot expect such an algorithm to terminate, as it would imply solvability of the word problem for finitely presented (semi)groups.

The current version of this package is version 1.1.0, released on 2024-08-29. For more information, please refer to the package manual. There is also a README file.

License: LGPL-2.1-or-later

Dependencies

This package requires GAP version >=4.8

The following other GAP packages are needed:

GAPDoc >= 1.5

Authors

A.M. Cohen, J.W. Knopper.

Citing

Please, cite this package as

[CKT24] Cohen, A., Knopper, J. and GAP Team, T., GBNP, computing Gröbner bases of noncommutative polynomials, Version 1.1.0 (2024)
(GAP package), https://gap-packages.github.io/gbnp/.

You can get more info by typing Cite("GBNP"); in the gap prompt.

Feedback

For bug reports, feature requests and suggestions, please use the issue tracker.