CoCoA

CoCoA is a system for Computations in Commutative Algebra. It is able to perform simple and sophisticated operations on multivaraiate polynomials and on various data related to them (ideals, modules, matrices, rational functions). For example, it can readily compute Grobner bases, syzygies and minimal free resolution, intersection, division, the radical of an ideal, the ideal of zero-dimensional schemes, Poincare’ series and Hilbert functions, factorization of polynomials, toric ideals. The capabilities of CoCoA and the flexibility of its use are further enhanced by the dedicated high-level programming language. For convenience, the system offers a textual interface, an Emacs mode, and a graphical user interface common to most platforms. Computer algebra system (CAS).

This software is also referenced in ORMS.


References in zbMATH (referenced in 539 articles , 5 standard articles )

Showing results 401 to 420 of 539.
Sorted by year (citations)

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  1. Botana, Francisco; Valcarce, José L.: Automatic determination of envelopes and other derived curves within a graphic environment (2004)
  2. Brignone, Massimo; Valla, Giuseppe: On the resolution of certain level algebras (2004)
  3. Chiantini, Luca; Orecchia, Ferruccio; Ramella, Isabella: Maximal rank and minimal generation of some parametric varieties. (2004)
  4. Colombo, Fabrizio; Sabadini, Irene; Sommen, Franciscus; Struppa, Daniele C.: Analysis of Dirac systems and computational algebra. (2004)
  5. Conca, Aldo: Koszul homology and extremal properties of Gin and Lex (2004)
  6. Conca, Aldo; Herzog, Jürgen; Hibi, Takayuki: Rigid resolutions and big Betti numbers (2004)
  7. Elias, Juan: On the computation of the Ratliff-Rush closure (2004)
  8. Jiang, Zhaolin; Liu, Sanyang: An algorithm for finding the minimal polynomial of a scaled circulant factor matrix (2004)
  9. Lin, Zhiping; Xu, Li; Wu, Qinghe: Applications of Gröbner bases to signal and image processing: a survey (2004)
  10. Llabrés, M.; Rosselló, F.: A new family of metrics for biopolymer contact structures (2004)
  11. Recio, T.; Botana, F.: Where the truth lies (in automatic theorem proving in elementary geometry) (2004)
  12. Sabourin, S.: Generalized $O$-sequences and Hilbert functions of points (2004)
  13. Sbarra, Enrico: Ideals with maximal local cohomology modules (2004)
  14. Shin, Yong Su: Non-cancelable Betti numbers and type vectors. (2004)
  15. Vinai, Natale Paolo: Arithmetic degree and associated graded modules (2004)
  16. Zhang, Shenggui; Cheng, Sui Sun: Gröbner basis for an ideal of a polynomial ring over an algebraic extension over a field and its applications (2004)
  17. Ahmed, Maya; De Loera Jesús; Hemmecke, Raymond: Polyhedral cones of magic cubes and squares (2003)
  18. Arnold, Elizabeth A.: Modular algorithms for computing Gröbner bases. (2003)
  19. Bistarelli, Stefano; Boffi, Giandomenico; Rossi, Fabio: Computer algebra for fingerprint matching (2003)
  20. Botana, Francisco: Automatic determination of algebraic surfaces as loci of points (2003)

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Further publications can be found at: http://cocoa.dima.unige.it/research/publications.html