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 476 articles , 5 standard articles )

Showing results 41 to 60 of 476.
Sorted by year (citations)

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  1. Mateev, Matey: Posets of $h$-vectors of standard determinantal schemes (2015)
  2. Norton, Graham H.: On sequences, rational functions and decomposition (2015)
  3. Pech, Pavel: Extension of Simson-Wallace theorem on skew quadrilaterals and further properties (2015)
  4. Robbiano, Lorenzo: Hyperplane sections, Gröbner bases, and Hough transforms (2015)
  5. Abánades, Miguel Á.; Botana, Francisco; Escribano, Jesús: Automated generation of equations for linkage loci in a game physics system (2014)
  6. Abbott, John; Bigatti, Anna Maria: What is new in CoCoA? (2014)
  7. Abbott, John; Bigatti, Anna Maria; Söger, Christof: Integration of libnormaliz in CoCoALib and CoCoA 5 (2014)
  8. Ahn, Jeaman; Shin, Yong Su: The minimal free resolution of a fat star-configuration in $\BbbP^n$ (2014)
  9. Bandari, Somayeh; Herzog, Jürgen; Hibi, Takayuki: Monomial ideals whose depth function has any given number of strict local maxima (2014)
  10. Bayati, Shamila; Rahmati, Farhad: Squarefree vertex cover algebras (2014)
  11. Boij, Mats; Migliore, Juan; Miró-Roig, Rosa M.; Nagel, Uwe; Zanello, Fabrizio: On the weak Lefschetz property for artinian Gorenstein algebras of codimension three (2014)
  12. Casnati, Gianfranco; Notari, Roberto: On the Gorenstein locus of the punctual Hilbert scheme of degree 11 (2014)
  13. Constantinescu, Alexandru; Kahle, Thomas; Varbaro, Matteo: Generic and special constructions of pure $O$-sequences (2014)
  14. Damiano, Alberto; Sabadini, Irene; Souček, Vladimir: Different approaches to the complex of three Dirac operators (2014)
  15. De Stefani, Alessandro: Artinian level algebras of low socle degree (2014)
  16. Elias, J.; Rossi, M.E.; Valla, G.: On the Hilbert function of one-dimensional local complete intersections (2014)
  17. Fassino, Claudia; Pistone, Giovanni; Riccomagno, Eva: The algebra of interpolatory cubature formulæfor generic nodes (2014)
  18. Gamallo-Chicano, Carlos; Roanes-Lozano, Eugenio; Gamallo-Amat, Carlos: A rule-based expert system for vaginal cytology diagnosis (2014)
  19. Herzog, Jürgen; Sharifan, Leila; Varbaro, Matteo: The possible extremal Betti numbers of a homogeneous ideal (2014)
  20. Herzog, Jürgen; Stamate, Dumitru I.: On the defining equations of the tangent cone of a numerical semigroup ring (2014)

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