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 489 articles , 5 standard articles )

Showing results 61 to 80 of 489.
Sorted by year (citations)

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  1. Damiano, Alberto; Sabadini, Irene; Souček, Vladimir: Different approaches to the complex of three Dirac operators (2014)
  2. De Stefani, Alessandro: Artinian level algebras of low socle degree (2014)
  3. Elias, J.; Rossi, M.E.; Valla, G.: On the Hilbert function of one-dimensional local complete intersections (2014)
  4. Fassino, Claudia; Pistone, Giovanni; Riccomagno, Eva: The algebra of interpolatory cubature formulæfor generic nodes (2014)
  5. Gamallo-Chicano, Carlos; Roanes-Lozano, Eugenio; Gamallo-Amat, Carlos: A rule-based expert system for vaginal cytology diagnosis (2014) ioport
  6. Herzog, Jürgen; Sharifan, Leila; Varbaro, Matteo: The possible extremal Betti numbers of a homogeneous ideal (2014)
  7. Herzog, Jürgen; Stamate, Dumitru I.: On the defining equations of the tangent cone of a numerical semigroup ring (2014)
  8. Hong, Hoon (ed.); Yap, Chee (ed.): Mathematical software -- ICMS 2014. 4th international congress, Seoul, South Korea, August 5--9, 2014. Proceedings (2014)
  9. Ichim, Bogdan; Zarojanu, Andrei: An algorithm for computing the multigraded Hilbert depth of a module (2014)
  10. Ichim, Bogdan; Zarojanu, Andrei: An introduction to Hilbert depth (2014)
  11. Jayanthan, A.V.; Nanduri, Ramakrishna: On the depth of fiber cones of stretched $\mathfrak m$-primary ideals (2014)
  12. Kiani, Dariush; Madani, Sara Saeedi: Binomial edge ideals with pure resolutions (2014)
  13. Ohsugi, Hidefumi; Hibi, Takayuki: Centrally symmetric configurations of integer matrices (2014)
  14. Patnott, Megan: The $h$-vectors of arithmetically Gorenstein sets of points on a general sextic surface in $\mathbb P^3$ (2014)
  15. Pearson, Kelly J.; Zhang, Tan: On spectral hypergraph theory of the adjacency tensor (2014)
  16. Robertz, Daniel: Formal algorithmic elimination for PDEs (2014)
  17. Stäbler, Axel: On base change of the fundamental group scheme (2014)
  18. Tanturri, Fabio: Pfaffian representations of cubic surfaces (2014)
  19. Torrente, Maria-Laura; Beltrametti, Mauro C.: Almost vanishing polynomials and an application to the Hough transform (2014)
  20. Achilles, R.; Manaresi, M.: Computing the number of apparent double points of a surface (2013)

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