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 549 articles , 5 standard articles )

Showing results 1 to 20 of 549.
Sorted by year (citations)

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  1. Blažek, Jiří; Pech, Pavel: On one locus in the plane (2019)
  2. Abbott, John; Bigatti, Anna M.: CoCoA-5.2.2 and CoCoALib (2018)
  3. Alilooee, A.; Faridi, S.: Graded Betti numbers of path ideals of cycles and lines (2018)
  4. Bernardi, Alessandra; Gimigliano, Alessandro; Idà, Monica: Singularities of plane rational curves via projections (2018)
  5. Görgen, Christiane; Bigatti, Anna; Riccomagno, Eva; Smith, Jim Q.: Discovery of statistical equivalence classes using computer algebra (2018)
  6. Herzog, Jürgen; Rinaldo, Giancarlo: On the extremal Betti numbers of binomial edge ideals of block graphs (2018)
  7. Masuti, Shreedevi K.; Rossi, M. E.: Artinian level algebras of socle degree 4 (2018)
  8. 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)
  9. Moore, W. Frank; Rogers, Mark; Sather-Wagstaff, Sean: Monomial ideals and their decompositions (2018)
  10. Römer, Tim; Saeedi Madani, Sara: Retracts and algebraic properties of cut algebras (2018)
  11. Smith, Virginia; Forte, Simone; Ma, Chenxin; Takáč, Martin; Jordan, Michael I.; Jaggi, Martin: CoCoA: a general framework for communication-efficient distributed optimization (2018)
  12. Torrente, Maria-Laura; Varbaro, Matteo: Computing the Betti table of a monomial ideal: a reduction algorithm (2018)
  13. Abbott, John; Bigatti, Anna Maria; Robbiano, Lorenzo: Implicitization of hypersurfaces (2017)
  14. Batselier, Kim; Wong, Ngai: Inverse multivariate polynomial root-finding: numerical implementations of the affine and projective Buchberger-Möller algorithm (2017)
  15. Bermejo, Isabel; García-Llorente, Eva; García-Marco, Ignacio; Morales, Marcel: Noether resolutions in dimension 2 (2017)
  16. Biermann, Jennifer; O’Keefe, Augustine; Van Tuyl, Adam: Bounds on the regularity of toric ideals of graphs (2017)
  17. Bigatti, Anna M.; De Negri, Emanuela: Koszul algebras and computations (2017)
  18. Bigatti, Anna M. (ed.); Gimenez, Philippe (ed.); Sáenz-de-Cabezón, Eduardo (ed.): Computations and combinatorics in commutative algebra. EACA school, Valladolid, Spain, 2013 (2017)
  19. Boffi, Giandomenico; Logar, Alessandro: Border bases for lattice ideals (2017)
  20. Bruns, Winfried; Conca, Aldo: Linear resolutions of powers and products (2017)

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