Involutive method for computing Gröbner bases over % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfKttLearuqr1ngBPrgarmWu51MyVXgatC % vAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wz % ZbItLDhis9wBH5garqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbb % L8F4rqqrFfpeea0xe9Lq-Jc9vqaqpepm0xbba9pwe9Q8fs0-yqaqpe % pae9pg0FirpepeKkFr0xfr-xfr-xb9adbaqaaeGaciGaaiaabeqaam % aaeaqbaaGcbaWefv3ySLgznfgDOjdarCqr1ngBPrginfgDObcv39ga % iyaacqWFfcVrdaWgaaWcbaGaeGOmaidabeaaaaa!47CE! $$ \mathbb{F}_2 $$

Author:

Gerdt V. P.,Zinin M. V.

Publisher

Pleiades Publishing Ltd

Subject

Software

Reference23 articles.

1. Buchberger, B., Algorithm for Finding a Basis for the Residue Class Ring of Zero-Dimensional Polynomial Ideal, PhD Dissertation, Innsbruck, Univ. of Innsbruck, Inst. for Mathematics, 1965 (in German).

2. Buchberger, B., Gröbner Bases: An Algorithmic Method in Polynomial Ideal Theory, Recent Trends in Multidimensional System Theory, Bose, N.K., Ed., Dordrecht: Reidel, 1985, pp. 184–232.

3. Gerdt, V.P. and Blinkov, Yu.A., Involutive Bases of Polynomial Ideals, Math. Comput. Simulation, 1998, vol. 45, pp. 519–542. arXiv:math.AC/9912027; Minimal Involutive Bases. Math. Comput. Simulation, pp. 543–560. arXiv:math.AC/9912029.

4. Gerdt, V.P., Involutive Algorithms for Computing Gröbner Bases, Computational Commutative and Non-Commutative Algebraic Geometry, Cojocaru, S., Pfister, G., and Ufnarovski, V., Eds., Amsterdam: IOS, 2005, pp. 199–225. arXiv:math.AC/0501111.

5. Faugère, J.C., A New Efficient Algorithm for Computing Gröbner Bases (F 4), Pure Applied Algebra, 1999, vol. 139, nos. 1–3, pp. 61–68.

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