SINGULAR
Encyclopedia
SINGULAR is a computer algebra system
for polynomial
computations with special emphasis on the needs of commutative algebra
, algebraic geometry
, and singularity theory
. SINGULAR is free software
released under the GNU General Public License
. Problems in non-commutative algebra can be tackled with the SINGULAR offspring PLURAL. SINGULAR was designed by Gert-Martin Greuel, Gerhard Pfister and Hans Schönemann.
Computer algebra system
A computer algebra system is a software program that facilitates symbolic mathematics. The core functionality of a CAS is manipulation of mathematical expressions in symbolic form.-Symbolic manipulations:...
for polynomial
Polynomial
In mathematics, a polynomial is an expression of finite length constructed from variables and constants, using only the operations of addition, subtraction, multiplication, and non-negative integer exponents...
computations with special emphasis on the needs of commutative algebra
Commutative algebra
Commutative algebra is the branch of abstract algebra that studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra...
, algebraic geometry
Algebraic geometry
Algebraic geometry is a branch of mathematics which combines techniques of abstract algebra, especially commutative algebra, with the language and the problems of geometry. It occupies a central place in modern mathematics and has multiple conceptual connections with such diverse fields as complex...
, and singularity theory
Singularity theory
-The notion of singularity:In mathematics, singularity theory is the study of the failure of manifold structure. A loop of string can serve as an example of a one-dimensional manifold, if one neglects its width. What is meant by a singularity can be seen by dropping it on the floor...
. SINGULAR is free software
Free software
Free software, software libre or libre software is software that can be used, studied, and modified without restriction, and which can be copied and redistributed in modified or unmodified form either without restriction, or with restrictions that only ensure that further recipients can also do...
released under the GNU General Public License
GNU General Public License
The GNU General Public License is the most widely used free software license, originally written by Richard Stallman for the GNU Project....
. Problems in non-commutative algebra can be tackled with the SINGULAR offspring PLURAL. SINGULAR was designed by Gert-Martin Greuel, Gerhard Pfister and Hans Schönemann.