📑 Table of Contents▼
"SINGULAR" redirects here. For other uses, see Singular.
Singular
Original authorsWolfram Decker, Gert-Martin Greuel, Gerhard Pfister and Hans Schönemann
DeveloperUniversity of Kaiserslautern
Stable release
4.4.1[1] Edit this on Wikidata / 16 January 2025
Written inC++, C
Operating systemWindows, Linux, macOS
Available inEnglish
TypeComputer algebra system
LicenseGPL-2.0-only or GPL-3.0-only[2]
Websitewww.singular.uni-kl.de
Repositorygithub.com/Singular/Singular

Singular (typeset Singular) is a computer algebra system for polynomial computations with special emphasis on the needs of commutative and non-commutative algebra, algebraic geometry, and singularity theory. Singular has been released under the terms of GNU General Public License. Problems in non-commutative algebra can be tackled with the Singular offspring Plural. Singular is developed under the direction of Wolfram Decker, Gert-Martin Greuel, Gerhard Pfister, and Hans Schönemann, who head Singular's core development team within the Department of Mathematics of the Technische Universität Kaiserslautern. In the DFG Priority Program 1489, interfaces to GAP, Polymake and Gfan are being developed in order to cover recently established areas of mathematics involving convex and algebraic geometry, such as toric and tropical geometry.

See also

edit

References

edit
  1. ^ "Release 4.4.1". 16 January 2025. Retrieved 29 January 2025.
  2. ^ "COPYING".

Further reading

edit
  • Greuel, G.-M.; Pfister, G. (2002). A Singular Introduction to Commutative Algebra. (with contributions by O. Bachmann, C. Lossen, and H. Schönemann). Berlin: Springer-Verlag. ISBN 3-540-42897-6.
  • Lossen, C.; Schönemann, H. (2006). "21 Years of Singular Experiments in Mathematics". In Lossen, C.; Pfister, G. (eds.). Singularities and Computer Algebra. Lecture Notes of LMS. Cambridge University Press. ISBN 0-521-68309-2.
  • Lossen, C.; Decker, W. (2006). Computing in Algebraic Geometry: A Quick Start using SINGULAR. Berlin: Springer-Verlag. ISBN 3-540-28992-5.
edit


Stub icon

This free and open-source software article is a stub. You can help Wikipedia by adding missing information.

📚 Artikel Terkait di Wikipedia

GAP (computer algebra system)

algorithms and programming) is an open-source computer algebra system for computational discrete algebra with particular emphasis on computational group

List of computer algebra systems

comparison of computer algebra systems (CAS). A CAS is a package comprising a set of algorithms for performing symbolic manipulations on algebraic objects,

Singular

Carpenter Singular: Act II, a 2019 studio album by Sabrina Carpenter Singular homology SINGULAR, an open source Computer Algebra System (CAS) Singular matrix

SageMath

SageMath (previously Sage or SAGE, "System for Algebra and Geometry Experimentation") is a computer algebra system (CAS) with features covering many aspects

Dimension of an algebraic variety

the dimension of the tangent vector space at any non singular point of V. This is the algebraic analogue to the fact that a connected manifold has a constant

Faugère's F4 and F5 algorithms

algebra system, Study versions of the Faugère F5 algorithm is implemented in[citation needed] the SINGULAR computer algebra system; the SageMath computer algebra

Clifford algebra

subspace. As K-algebras, they generalize the real numbers, complex numbers, quaternions and several other hypercomplex number systems. The theory of Clifford

Linear algebra

computing efficiently with such models. For nonlinear systems, which cannot be modeled with linear algebra, it is often used for dealing with first-order approximations