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2.1.5 Pointers to the Literature

The following are articles which may be of interest to CoCoA users. Many of the algorithms discussed in these articles have been implemented in CoCoA.

J. Abbott, Univariate factorization over the integers, Preprint (1998).

A.M. Bigatti, Computations of Hilbert-Poincare Series, J. Pure Appl. Algebra, 119/3, 237--253 (1997).

A.M. Bigatti, A. Capani, G. Niesi, L. Robbiano, Hilbert-Poincare Series and Elimination Problems, Preprint (1998).

A.M. Bigatti, R. La Scala, L. Robbiano, Computing Toric Ideals, Preprint (1998).

A.M. Bigatti, L. Robbiano, Borel Sets and Sectional Matrices, Annals of Combinatorics, 1, 197--213, (1997)

M. Caboara, P. Conti, and C. Traverso, Yet Another Ideal Decomposition Algorithm, AAECC-12, Springer LNCS 1255, 39--54, (1997).

M. Caboara, G. De Dominicis, L. Robbiano, Multigraded Hilbert Functions and Buchberger Algorithm, In Proc. ISSAC`96, 72--78 (1996), Y.N. Lakshman, editor, New York. ACM Press.

A. Capani, G. De Dominicis, Web Algebra, In Proc. of WebNet 96. Association for the Advancement of Computing in Education (AACE) Charlottesville, USA, (1996).

A. Capani, G. De Dominicis, G. Niesi, L. Robbiano, Computing Minimal Finite Free Resolutions, J. Pure Appl. Algebra, 117/118, 105--117, (1997).

A. Capani, G. Niesi, The CoCoA 3 Framework for a Family of Buchberger-like Algorithms, In Groebner Bases and Applications (Proc. of the Conf. 33 Years of Groebner Bases) , London Math. Soc. Lecture Notes Series, Vol. 251, B. Buchberger and F. Winkler eds., Cambridge University Press, p. 338--350, (1998).

A. Capani, G. Niesi, CoCoA 3.0 User's Manual, (1995).

A. Capani, G. Niesi, L. Robbiano, Some Features of CoCoA 3, Comput. Sci. J. of Moldova 4, 296--314, (1996).

A. Giovini, T. Mora, G. Niesi, L. Robbiano, C. Traverso, `One sugar cube, please' or selection strategies in the Buchberger algorithm, In Proc. ISSAC`91, 49--54, Stephen M. Watt, editor, New York, ACM Press, (1991).

A. Giovini and G. Niesi, CoCoA: a user-friendly system for commutative algebra, In Design and Implementation of Symbolic Computation Systems -- International Symposium DISCO`90, Lecture Notes in Comput. Sci., 429, 20--29, Berlin, Springer Verlag, (1990).

B. Sturmfels, Groebner Bases and Convex Polytopes, AMS University Lecture Series, Vol. 8 (1995).

SOME BOOKS AND ARTICLES MENTIONING CoCoA: W. W. Adams, P. Loustaunau, An Introduction to Groebner Bases, Graduate Studies in Mathematics, AMS, Providence, R.I. (1994).

D. Cox, J. Little, D. O'shea, Ideals, Varieties, and Algorithms, Springer-Verlag, New York (1992).

M. Kreuzer, L. Robbiano, Computational Commutative Algebra 1 Springer-Verlag, (2000).

L. Robbiano, Groebner Bases and Statistics, in Groebner Bases and Applications, (Proceedings of the Conference: 33 Years of Groebner Bases), LMS Lecture Note Series, Vol. 251, B. Buchberger and F. Winkler eds., Cambridge University Press, p. 79--204 (1998).