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 478 articles , 5 standard articles )

Showing results 21 to 40 of 478.
Sorted by year (citations)

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  1. Tatakis, Christos: Generalized robust toric ideals (2016)
  2. Albert, Mario; Fetzer, Matthias; Sáenz-de-Cabezón, Eduardo; Seiler, Werner M.: On the free resolution induced by a Pommaret basis (2015)
  3. Alilooee, Ali; Faridi, Sara: On the resolution of path ideals of cycles (2015)
  4. Backelin, J.; Oneto, A.: On a class of power ideals (2015)
  5. Botana, Francisco; Hohenwarter, Markus; Janičić, Predrag; Kovács, Zoltán; Petrović, Ivan; Recio, Tomás; Weitzhofer, Simon: Automated theorem proving in GeoGebra: current achievements (2015)
  6. Carlini, Enrico; Guardo, Elena; Van Tuyl, Adam: Plane curves containing a star configuration (2015)
  7. Casnati, Gianfranco; Faenzi, Daniele; Malaspina, Francesco: Rank two aCM bundles on the del Pezzo threefold with Picard number 3 (2015)
  8. Chiantini, Luca; Migliore, Juan: Almost maximal growth of the Hilbert function (2015)
  9. Conca, Aldo; De Negri, Emanuela; Gorla, Elisa: Universal Gröbner bases for maximal minors (2015)
  10. Constantinescu, Alexandru; Mateev, Matey: Determinantal schemes and pure O-sequences (2015)
  11. Constantinescu, Alexandru; Varbaro, Matteo: $h$-vectors of matroid complexes (2015)
  12. Cox, David A.; Little, John; O’Shea, Donal: Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra (2015)
  13. D’Alì, Alessio: Toric ideals associated with gap-free graphs (2015)
  14. Dimca, Alexandru; Sticlaru, Gabriel: Hessian ideals of a homogeneous polynomial and generalized Tjurina algebras (2015)
  15. Ene, Viviana; Herzog, Jürgen; Hibi, Takayuki: Linearly related polyominoes (2015)
  16. García-Marco, Ignacio; Ramírez Alfonsín, Jorge Luis: Matroid toric ideals: complete intersection, minors, and minimal systems of generators (2015)
  17. Herzog, Jürgen; Asloob Qureshi, Ayesha: Persistence and stability properties of powers of ideals (2015)
  18. Hibi, Takayuki; Matsuda, Kazunori; Ohsugi, Hidefumi; Shibata, Kazuki: Centrally symmetric configurations of order polytopes (2015)
  19. Huneke, Craig; Mantero, Paolo; McCullough, Jason; Seceleanu, Alexandra: A multiplicity bound for graded rings and a criterion for the Cohen-Macaulay property (2015)
  20. Majd, Leila Parsaei; Rahimi, Ahad: On the structure of sequentially Cohen-Macaulay bigraded modules. (2015)

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