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 618 articles , 5 standard articles )

Showing results 1 to 20 of 618.
Sorted by year (citations)

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  1. Cioffi, Francesca: The range of all regularities for polynomial ideals with a given Hilbert function (2021)
  2. Abbott, John; Bigatti, Anna Maria; Palezzato, Elisa; Robbiano, Lorenzo: Computing and using minimal polynomials (2020)
  3. Amata, Luca; Crupi, Marilena: Hilbert functions of graded modules over an exterior algebra: an algorithmic approach (2020)
  4. Barile, Margherita; Macchia, Antonio: Minimal cellular resolutions of the edge ideals of forests (2020)
  5. Bigatti, Anna Maria; Palezzato, Elisa; Torielli, Michele: New characterizations of freeness for hyperplane arrangements (2020)
  6. Carlini, Enrico; Catalisano, Maria Virginia; Guardo, Elena; Van Tuyl, Adam: Hilbert functions of schemes of double and reduced points (2020)
  7. Conca, Aldo; Varbaro, Matteo: Square-free Gröbner degenerations (2020)
  8. Công Minh, Nguyên; Thi Thuy, Phan: A computation of the Castelnuovo-Mumford regularity of certain two-dimensional unmixed ideals (2020)
  9. Dana-Picard, Thierry: An automated study of isoptic curves of an astroid (2020)
  10. Dimca, Alexandru; Gondim, Rodrigo; Ilardi, Giovanna: Higher order Jacobians, Hessians and Milnor algebras (2020)
  11. Dimca, Alexandru; Sticlaru, Gabriel: Computing Milnor fiber monodromy for some projective hypersurfaces (2020)
  12. Dimitrova, Elena; He, Qijun; Robbiano, Lorenzo; Stigler, Brandilyn: Small Gröbner fans of ideals of points (2020)
  13. Domokos, Mátyás; Drensky, Vesselin: Cocharacters for the weak polynomial identities of the Lie algebra of (3 \times3) skew-symmetric matrices (2020)
  14. England, Matthew; Bradford, Russell; Davenport, James H.: Cylindrical algebraic decomposition with equational constraints (2020)
  15. Favacchio, Giuseppe: A numerical property of Hilbert functions and lex segment ideals (2020)
  16. Hashemi, Amir; Kreuzer, Martin; Pourkhajouei, Samira: Computing coupled border bases (2020)
  17. Mandal, Mousumi; Nanduri, Ramakrishna: Regularity comparison of fiber cone and associated graded ring (2020)
  18. Mascia, Carla; Rinaldo, Giancarlo: Krull dimension and regularity of binomial edge ideals of block graphs (2020)
  19. Abdi Makvand, Mohsen; Mousivand, Amir: Betti numbers of some circulant graphs. (2019)
  20. Amata, Luca; Crupi, Marilena: Computation of graded ideals with given extremal Betti numbers in a polynomial ring (2019)

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