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Bibliography

AL94
William Adams and Philippe Loustaunau.
An introduction to Gröbner bases, volume 3 of Graduate studies in mathematics.
American Mathematical Society, Providence, R.I., 1994.

BS92
David Bayer and Michael Stillman.
Computation of Hilbert Functions.
J. Symbolic Comp., 14(1):31--50, 1992.

Buc65
Bruno Buchburger.
Ein Algorithmus zum Auffinden der Basiselemente des Restklassenringes nach einem nulldimensionalen Polynomideal.
PhD thesis, University of Innsbruck, Austria, 1965.

BW93
Thomas Becker and Volker Weispfenning.
Gröbner Bases.
Graduate Texts in Mathematics. Springer, New York--Berlin--Heidelberg, 1993.

CKM97
Stephane Collart, Michael Kalkbrener, and Daniel Mall.
Converting Bases with the Gröbner Walk.
J. Symbolic Comp., 24(3):465--469, 1997.

CLO96
David Cox, John Little, and Donal O'Shea.
Ideals, Varieties and Algorithms.
Undergraduate Texts in Mathematics. Springer, New York--Berlin--Heidelberg, 2nd edition, 1996.

CLO98
David Cox, John Little, and Donal O'Shea.
Using Algebraic Geometry.
Graduate Texts in Mathematics. Springer, New York--Berlin--Heidelberg, 1998.

DL06
Wolfram Decker and Christoph Lossen.
Computing in Algebraic Geometry, volume 16 of Algorithms and Computation in Mathematics.
Springer, New York--Berlin--Heidelberg, 2006.

Fau99
Jean-Charles Faugère.
A new efficient algorithm for computing Gröbner bases (F4).
Journal of Pure and Applied Algebra, 139 (1-3):61--88, 1999.

FGLM93
Jean-Charles Faugère, Patrizia Gianni, Daniel Lazard, and Teo Mora.
Efficient computations of zero-dimensional Gröbner bases by change of ordering.
J. Symbolic Comp., 16:329--344, 1993.

GP02
G.-M. Greuel and G. Pfister.
A Singular Introduction to Commutative Algebra.
Springer-Verlag, Berlin--Heidelberg--New York, 2002.

Laz92
Daniel Lazard.
Solving Zero-dimensional Algebraic Systems.
J. Symbolic Comp., 13(2):117--131, 1992.

Möl88
H.M. Möller.
On the construction of Gröbner bases using syzygies.
J. Symbolic Comp., 6:345--359, 1988.

Ste04
Allan Steel.
Gröbner Basis Timings Page.
http://magma.maths.usyd.edu.au/users/allan/gb/, 2004.

Ste05
Allan Steel.
Conquering Inseparability: Primary Decomposition and Multivariate Factorization over Algebraic Function Fields of Positive Characteristic.
J. Symbolic Comp., 40(3):1053--1075, 2005.

Tra96
Carlo Traverso.
Hilbert Functions and the Buchberger Algorithm.
J. Symbolic Comp., 22(4):355--376, 1996.

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