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Showing 1 to 3 of 3 for “"non-commutative Gröbner basis"”.
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Weyl Gröbner Basis Cryptosystems
… certain class of algebraic cryptosystems called Gröbner Basis Cryptosystems. In 1994, Koblitz introduced the Polly Cracker cryptosystem that is based on the theory of Gröbner basis in commutative polynomials rings. The security of this cryptosystem relies on the fact that the computation of …
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Non-commutative Gröbner Bases and Applications
Commutative Gröbner bases have a lot of applications in theory and practice, because they have many nice properties, they are computable, and there exist many efficient improvements of their computations. Non-commutative Gröbner bases also have many useful properties. However, applications of …
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Die Tits-Alternative für eine relevante Klasse endlich präsentierter Gruppen unter besonderer Berücksichtigung computeralgebraischer Aspekte
… eine Methode angewandt, die auf Berechnungen von Gröbner-Basen in nicht-kommutativen Polynomringen basiert. Es wird dabei die Dimension der Gruppenringe betrachtet als Vektorräume berechnet. Für die betrachtete Klasse von Gruppen wird für Relationen der Blocklänge 1 die Tits-Alternative …