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 478 articles , 5 standard articles )

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  1. Bigatti, Anna M.; De Negri, Emanuela: Koszul algebras and computations (2017)
  2. Boffi, Giandomenico; Logar, Alessandro: Border bases for lattice ideals (2017)
  3. Shirmohammadi, N.: A note on the multiplicity and final Betti number of a level algebra (2017)
  4. Torrente, Maria-Laura; Beltrametti, Mauro C.; Sommese, Andrew J.: Perturbation results on the zero-locus of a polynomial (2017)
  5. Barile, Margherita; Macchia, Antonio: The arithmetical rank of the edge ideals of graphs with pairwise disjoint cycles (2016)
  6. Bertone, Cristina; Cioffi, Francesca; Guida, Margherita; Roggero, Margherita: The scheme of liftings and applications (2016)
  7. Braun, Gábor; Pokutta, Sebastian: A polyhedral characterization of border bases (2016)
  8. Brinkmann, Daniel; Kaid, Almar: Rank-2 Syzygy bundles on Fermat curves and an application to Hilbert-Kunz functions (2016)
  9. Catalisano, Maria Virginia; Geramita, Anthony V.; Gimigliano, Alessandro; Shin, Yong-Su: The secant line variety to the varieties of reducible plane curves (2016)
  10. Charalambous, Hara; Thoma, Apostolos; Vladoiu, Marius: Binomial fibers and indispensable binomials (2016)
  11. Crupi, Marilena: Extremal Betti numbers of graded modules (2016)
  12. De Stefani, Alessandro: A counterexample to a conjecture of Ding (2016)
  13. Dimca, Alexandru; Sticlaru, Gabriel: Syzygies of Jacobian ideals and weighted homogeneous singularities (2016)
  14. Fontana, Roberto; Rapallo, Fabio; Rogantin, Maria Piera: Aberration in qualitative multilevel designs (2016)
  15. Kahle, Thomas: On the feasibility of semi-algebraic sets in Poisson regression (2016)
  16. Kohlhaas, A.: Symmetry in the core of a zero-dimensional monomial ideal (2016)
  17. Ko, Jordan; Wynn, Henry P.: The algebraic method in quadrature for uncertainty quantification (2016)
  18. Kreuzer, Martin; Robbiano, Lorenzo: Computational linear and commutative algebra (2016)
  19. Nam, Le Dinh; Varbaro, Matteo: When does depth stabilize early on? (2016)
  20. Oneto, Anna; Tamone, Grazia: Syzygies of \itGS monomial curves and Weierstrass property (2016)

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