SINGULAR

SINGULAR is a Computer Algebra system (CAS) for polynomial computations in commutative algebra, algebraic geometry, and singularity theory. SINGULAR’s main computational objects are ideals and modules over a large variety of baserings. The baserings are polynomial rings over a field (e.g., finite fields, the rationals, floats, algebraic extensions, transcendental extensions), or localizations thereof, or quotient rings with respect to an ideal. SINGULAR features fast and general implementations for computing Groebner and standard bases, including e.g. Buchberger’s algorithm and Mora’s Tangent Cone algorithm. Furthermore, it provides polynomial factorizations, resultant, characteristic set and gcd computations, syzygy and free-resolution computations, and many more related functionalities. Based on an easy-to-use interactive shell and a C-like programming language, SINGULAR’s internal functionality is augmented and user-extendible by libraries written in the SINGULAR programming language. A general and efficient implementation of communication links allows SINGULAR to make its functionality available to other programs.

This software is also referenced in ORMS.


References in zbMATH (referenced in 897 articles , 4 standard articles )

Showing results 1 to 20 of 897.
Sorted by year (citations)

1 2 3 ... 43 44 45 next

  1. Bell, Jason P.; Heinle, Albert; Levandovskyy, Viktor: On noncommutative finite factorization domains (2017)
  2. Donten-Bury, Maria; Keicher, Simon: Computing resolutions of quotient singularities (2017)
  3. Giné, Jaume: Center conditions for generalized polynomial Kukles systems (2017)
  4. Greuel, Gert-Martin; Pham, Thuy Huong: Mather-Yau theorem in positive characteristic (2017)
  5. Alberich-Carramiñana, Maria; Dachs-Cadefau, Ferran; Àlvarez Montaner, Josep: Multiplier ideals in two-dimensional local rings with rational singularities (2016)
  6. Birkmeyer, Anna Lena: The realizability of tropical hypersurfaces in matroid fans (2016)
  7. Bivià-Ausina, Carles; Fukui, Toshizumi: Mixed \Lojasiewiczexponents and $\log$ canonical thresholds of ideals (2016)
  8. Bobowik, Justyna; Szafraniec, Zbigniew: Counting signed swallowtails of polynomial selfmaps of $\mathbb R^3$ (2016)
  9. Boels, Rutger H.; Kniehl, Bernd A.; Yang, Gang: Master integrals for the four-loop Sudakov form factor (2016)
  10. Böhm, Janko; Decker, Wolfram; Fieker, Claus; Laplagne, Santiago; Pfister, Gerhard: Bad primes in computational algebraic geometry (2016)
  11. Böhm, Janko; Decker, Wolfram; Keicher, Simon; Ren, Yue: Current challenges in developing open source computer algebra systems (2016)
  12. Böhm, Janko; Marais, Magdaleen S.; van der Merwe, André F.: 3D printing dimensional calibration shape: Clebsch cubic (2016)
  13. Botbol, Nicolás; Dickenstein, Alicia: Implicitization of rational hypersurfaces via linear syzygies: a practical overview (2016)
  14. Brunat, Josep M.; Montes, Antonio: Computing the canonical representation of constructible sets (2016)
  15. Cano, Guillaume; Cohen, Cyril; Dénès, Maxime; Mörtberg, Anders; Siles, Vincent: Formalized linear algebra over elementary divisor rings in Coq (2016)
  16. Casnati, Gianfranco; Notari, Roberto: A structure theorem for $2$-stretched Gorenstein algebras (2016)
  17. Chung, Kiryong; Lee, Wanseok; Park, Euisung: On the space of projective curves of maximal regularity (2016)
  18. Cifuentes, Diego; Parrilo, Pablo A.: Exploiting chordal structure in polynomial ideals: a Gröbner bases approach (2016)
  19. Cimpoeaş, Mircea; Stamate, Dumitru I.: On intersections of complete intersection ideals (2016)
  20. Coutinho, S.C.; Saccomori, C.C.jun.: Families of minimal involutive surfaces in projective space (2016)

1 2 3 ... 43 44 45 next


Further publications can be found at: http://www.singular.uni-kl.de/index.php/publications/singular-related-publications.html