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 560 articles , 5 standard articles )

Showing results 1 to 20 of 560.
Sorted by year (citations)

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  1. Amata, Luca; Crupi, Marilena: Computation of graded ideals with given extremal Betti numbers in a polynomial ring (2019-2019)
  2. Blažek, Jiří; Pech, Pavel: On one locus in the plane (2019)
  3. Kreuzer, Martin; Linh, Tran N. K.; Long, Le Ngoc: The Dedekind different of a Cayley-Bacharach scheme (2019)
  4. Michael Lesnick, Matthew Wright: Computing Minimal Presentations and Betti Numbers of 2-Parameter Persistent Homology (2019) arXiv
  5. Abbott, John; Bigatti, Anna M.: CoCoA-5.2.2 and CoCoALib (2018)
  6. Abbott, John; Bigatti, Anna Maria: Gröbner bases for everyone with CoCoA-5 and CoCoALib (2018)
  7. Alilooee, A.; Faridi, S.: Graded Betti numbers of path ideals of cycles and lines (2018)
  8. Bernardi, Alessandra; Gimigliano, Alessandro; Idà, Monica: Singularities of plane rational curves via projections (2018)
  9. Cimpoeas, Mircea: On the Stanley depth of powers of some classes of monomial ideals (2018)
  10. Görgen, Christiane; Bigatti, Anna; Riccomagno, Eva; Smith, Jim Q.: Discovery of statistical equivalence classes using computer algebra (2018)
  11. Herzog, Jürgen; Rinaldo, Giancarlo: On the extremal Betti numbers of binomial edge ideals of block graphs (2018)
  12. Martínez-Bernal, José; Pitones, Yuriko; Villarreal, Rafael H.: Minimum distance functions of complete intersections (2018)
  13. Masuti, Shreedevi K.; Rossi, M. E.: Artinian level algebras of socle degree 4 (2018)
  14. Migliore, Juan C.; Miró-Roig, Rosa María: On the strong Lefschetz problem for uniform powers of general linear forms in (k[x,y,z]) (2018)
  15. Moore, W. Frank; Rogers, Mark; Sather-Wagstaff, Sean: Monomial ideals and their decompositions (2018)
  16. Rahimi, Ahad: Maximal depth property of finitely generated modules (2018)
  17. Römer, Tim; Saeedi Madani, Sara: Retracts and algebraic properties of cut algebras (2018)
  18. Smith, Virginia; Forte, Simone; Ma, Chenxin; Takáč, Martin; Jordan, Michael I.; Jaggi, Martin: CoCoA: a general framework for communication-efficient distributed optimization (2018)
  19. Torrente, Maria-Laura; Varbaro, Matteo: Computing the Betti table of a monomial ideal: a reduction algorithm (2018)
  20. Zhu, Guangjun: Projective dimension and regularity of path ideals of cycles (2018)

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