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 529 articles , 5 standard articles )

Showing results 1 to 20 of 529.
Sorted by year (citations)

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  1. Bernardi, Alessandra; Gimigliano, Alessandro; Idà, Monica: Singularities of plane rational curves via projections (2018)
  2. Migliore, Juan C.; Miró-Roig, Rosa María: On the strong Lefschetz problem for uniform powers of general linear forms in $k[x,y,z]$ (2018)
  3. Römer, Tim; Saeedi Madani, Sara: Retracts and algebraic properties of cut algebras (2018)
  4. Torrente, Maria-Laura; Varbaro, Matteo: Computing the Betti table of a monomial ideal: a reduction algorithm (2018)
  5. Abbott, John; Bigatti, Anna Maria; Robbiano, Lorenzo: Implicitization of hypersurfaces (2017)
  6. Batselier, Kim; Wong, Ngai: Inverse multivariate polynomial root-finding: numerical implementations of the affine and projective Buchberger-Möller algorithm (2017)
  7. Bermejo, Isabel; García-Llorente, Eva; García-Marco, Ignacio; Morales, Marcel: Noether resolutions in dimension 2 (2017)
  8. Biermann, Jennifer; O’Keefe, Augustine; Van Tuyl, Adam: Bounds on the regularity of toric ideals of graphs (2017)
  9. Bigatti, Anna M.; De Negri, Emanuela: Koszul algebras and computations (2017)
  10. Bigatti, Anna M. (ed.); Gimenez, Philippe (ed.); Sáenz-de-Cabezón, Eduardo (ed.): Computations and combinatorics in commutative algebra. EACA school, Valladolid, Spain, 2013 (2017)
  11. Boffi, Giandomenico; Logar, Alessandro: Border bases for lattice ideals (2017)
  12. Bruns, Winfried; Conca, Aldo: A remark on regularity of powers and products of ideals (2017)
  13. Bruns, Winfried; Conca, Aldo: Products of Borel fixed ideals of maximal minors (2017)
  14. Bruns, Winfried; Conca, Aldo: Linear resolutions of powers and products (2017)
  15. Calussi, G.; Fatabbi, G.; Lorenzini, A.: The regularity index of up to $2n-1$ equimultiple fat points of $\mathbbP^n$ (2017)
  16. Charalambous, Hara; Thoma, Apostolos; Vladoiu, Marius: Minimal generating sets of lattice ideals (2017)
  17. Culp, J.; Pearson, Kelly; Zhang, Tan: On the uniqueness of the $Z_1$-eigenvector of transition probability tensors (2017)
  18. D’Alì, Alessio: The Koszul property for spaces of quadrics of codimension three (2017)
  19. Dimca, Alexandru: Hyperplane arrangements. An introduction (2017)
  20. Dimca, Alexandru; Sticlaru, Gabriel: Mixed multiplicities, Hilbert polynomials and homaloidal surfaces (2017)

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