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Parametric Gröbner Bases
AuthorsPGB is a software package for computing parametric Gröbner bases and related objects in several domains. It is implemented in the computer algebra system Risa/Asir by Katsusuke Nabeshima. The following objects can be computed with this package:
- Comprehensive Gröbner bases (CGB) and comprehensive Gröbner systems (CGS) in commutative polynomial rings
- CGB and CGS in rings of differential operators
- CGB and CGS for modules
- Related objects: syzygies, parametric syzygies, GB for modules, GB in polynomial rings over a polynomial ring, etc.