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 537 articles , 5 standard articles )

Showing results 421 to 440 of 537.
Sorted by year (citations)

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  1. Catalisano, M. V.; Geramita, A. V.; Gimigliano, A.: Erratum to: “Ranks of tensors, secant varieties of Segre varieties and fat points” (2003)
  2. Ciliberto, Ciro; Cioffi, Francesca; Miranda, Rick; Orecchia, Ferruccio: Bivariate Hermite interpolation and linear systems of plane curves with base fat points (2003)
  3. Conca, Aldo: Reduction numbers and initial ideals (2003)
  4. Dinwoodie, I. H.; Mosteig, Edward: Statistical inference for internal network reliability with spatial dependence (2003)
  5. Dumas, Jean-Guillaume; Heckenbach, Frank; Saunders, David; Welker, Volkmar: Computing simplicial homology based on efficient Smith normal form algorithms (2003)
  6. Evangelaras, H.; Kotsireas, I.; Koukouvinos, C.: Application of Gröbner bases to the analysis of certain two or three level factorial designs (2003)
  7. Galetto, Fausto; Pistone, Giovanni; Rogantin, Maria Piera: Confounding revisited with commutative computational algebra (2003)
  8. Garvín, Antonio; Lechuga, Luis: Bounding the rational LS-category of certain spaces via the Hilbert function. (2003)
  9. Geramita, Anthony V.; Harima, Tadahito; Shin, Yong Su: Some special configurations of points in $\Bbb P^n$ (2003)
  10. Greuel, Gert-Martin: A computer algebra solution to a problem in finite groups. (2003)
  11. Guida, Margherita: Conductor degree of points with maximal Hilbert function and socle degree (2003)
  12. Mora, Teo; Sala, Massimiliano: On the Gröbner bases of some symmetric systems and their application to coding theory. (2003)
  13. Roanes-Lozano, E.; Roanes-Macías, E.; Villar-Mena, M.: A bridge between dynamic geometry and computer algebra (2003)
  14. Rossi, Maria Evelina; Swanson, Irena: Notes on the behavior of the Ratliff-Rush filtration (2003)
  15. Valencia, Carlos E.; Villarreal, Rafael H.: Canonical modules of certain edge subrings (2003)
  16. Van Tuyl, Adam: The Hilbert functions of ACM sets of points in $\Bbb P^n_1 \times\dots\times\Bbb P^n_k$ (2003)
  17. Villarreal, Rafael H.: Monomial algebras and polyhedral geometry (2003)
  18. Abbott, John: Sparse squares of polynomials (2002)
  19. Aguzzoli, Stefano; Avesani, Paolo; Massa, Paolo: Collaborative case-based recommender systems (2002)
  20. Catalisano, M. V.; Geramita, A. V.; Gimigliano, A.: Ranks of tensors, secant varieties of Segre varieties and fat points (2002)

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