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Modular Techniques For Noncommutative Gröbner Bases
Wolfram Decker, Christian Eder, Viktor Levandovskyy +1
In this note, we extend modular techniques for computing Gröbner bases from the commutative setting to the vast class of noncommutative -algebras. As in the commutative case, an…
Bad Primes in Computational Algebraic Geometry
Janko Boehm, Wolfram Decker, Claus Fieker +2
Computations over the rational numbers often suffer from intermediate coefficient swell. One solution to this problem is to apply the given algorithm modulo a number of primes and…
Current Challenges in Developing Open Source Computer Algebra Systems
Janko Boehm, Wolfram Decker, Simon Keicher +1
This note is based on the plenary talk given by the second author at MACIS 2015, the Sixth International Conference on Mathematical Aspects of Computer and Information Sciences. Mo…