• Magma is a computer algebra system designed to solve problems in algebra, number theory, geometry and combinatorics. It is named after the algebraic structure...
    7 KB (618 words) - 19:59, 12 March 2025
  • In abstract algebra, a magma, binar, or, rarely, groupoid is a basic kind of algebraic structure. Specifically, a magma consists of a set equipped with...
    18 KB (1,828 words) - 11:16, 17 April 2025
  • A computer algebra system (CAS) or symbolic algebra system (SAS) is any mathematical software with the ability to manipulate mathematical expressions in...
    18 KB (1,799 words) - 08:46, 17 May 2025
  • early 2004 by Primus Canada Magma (computer algebra system), a software package for solving mathematical problems MagmaFS, an experimental filesystem...
    2 KB (351 words) - 11:52, 24 January 2025
  • comparison of computer algebra systems (CAS). A CAS is a package comprising a set of algorithms for performing symbolic manipulations on algebraic objects,...
    30 KB (662 words) - 21:18, 15 May 2025
  • Thumbnail for GNU MPFR
    GNU MPFR (category Computer arithmetic)
    FLINT, GNOME Calculator, the Julia language implementation, the Magma computer algebra system, Maple, GNU MPC, and GNU Octave. Fousse, L.; Hanrot, G.; Lefèvre...
    6 KB (472 words) - 14:36, 20 March 2025
  • Thumbnail for SageMath
    SageMath (previously Sage or SAGE, "System for Algebra and Geometry Experimentation") is a computer algebra system (CAS) with features covering many aspects...
    13 KB (877 words) - 02:38, 5 May 2025
  • Magma computer algebra system SageMath Number Theory Library PARI/GP Fast Library for Number Theory Michael E. Pohst (1993): Computational Algebraic Number...
    7 KB (608 words) - 00:17, 18 February 2025
  • Thumbnail for SymPy
    SymPy (category Computer algebra system software for Linux)
    an open-source Python library for symbolic computation. It provides computer algebra capabilities either as a standalone application, as a library to other...
    13 KB (1,056 words) - 02:32, 15 May 2025
  • Faugère's F4 and F5 algorithms (category Computer algebra)
    computer algebra system, as the option method=fgb of function Groebner[gbasis] in the Magma computer algebra system, in the SageMath computer algebra...
    5 KB (479 words) - 09:34, 4 April 2025
  • Thumbnail for Sylow theorems
    In particular, versions of this algorithm are used in the Magma computer algebra system. Frattini's argument Hall subgroup Maximal subgroup McKay conjecture...
    33 KB (4,453 words) - 11:08, 4 March 2025
  • mathematics, and more specifically in abstract algebra, a *-algebra (or involutive algebra; read as "star-algebra") is a mathematical structure consisting of...
    11 KB (1,359 words) - 08:52, 21 December 2024
  • Thumbnail for K3 surface
    K3 surface (category Algebraic surfaces)
    Database homepage for a catalog of K3 surfaces K3 database for the Magma computer algebra system The geometry of K3 surfaces, lectures by David Morrison (1988)...
    34 KB (5,246 words) - 02:53, 6 March 2025
  • Algebra is a branch of mathematics that deals with abstract systems, known as algebraic structures, and the manipulation of expressions within those systems...
    138 KB (14,098 words) - 18:47, 18 May 2025
  • Professor Mary Myerscough. The Magma computer algebra system is produced and distributed by the Computational Algebra Group within the School. Mathematics...
    3 KB (242 words) - 09:27, 18 November 2024
  • term algebra over a set X of variables is exactly the free magma generated by X. Other synonyms for the notion include absolutely free algebra and anarchic...
    14 KB (2,175 words) - 22:14, 8 November 2024
  • types of algebraic structures are studied. Abstract algebra is primarily the study of specific algebraic structures and their properties. Algebraic structures...
    19 KB (2,223 words) - 21:00, 23 September 2024
  • of a group Two important computer algebra systems (CAS) used for group theory are GAP and Magma. Historically, other systems such as CAS (for character...
    3 KB (293 words) - 18:19, 23 September 2023
  • Thumbnail for Idempotence
    application. The concept of idempotence arises in a number of places in abstract algebra (in particular, in the theory of projectors and closure operators) and...
    22 KB (2,941 words) - 03:16, 18 May 2025
  • Thumbnail for Abstract algebra
    In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures, which are sets with specific operations...
    33 KB (4,336 words) - 09:19, 28 April 2025
  • Representation theory of Hopf algebras General Associative property, Associator Heap (mathematics) Magma (algebra) Loop (algebra), Quasigroup Nonassociative...
    12 KB (1,129 words) - 10:50, 10 October 2024
  • Thumbnail for Division (mathematics)
    "cancellation" can be done in any magma by an element with the cancellation property. Examples include matrix algebras, quaternion algebras, and quasigroups. In an...
    25 KB (3,478 words) - 16:38, 15 May 2025
  • Thumbnail for Semigroup
    Semigroup (category Algebraic structures)
    In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative internal binary operation on it. The binary operation...
    37 KB (4,714 words) - 00:02, 25 February 2025
  • Thumbnail for LAPACK
    LAPACK ("Linear Algebra Package") is a standard software library for numerical linear algebra. It provides routines for solving systems of linear equations...
    14 KB (1,105 words) - 15:49, 13 March 2025
  • Thumbnail for Monoid
    Monoid (redirect from Monoid (algebra))
    Lecture Notes in Computer Science. Vol. 443. Springer-Verlag. pp. 103–110. ISBN 3-540-52826-1. Kuich, Werner (2011). "Algebraic systems and pushdown automata"...
    35 KB (4,462 words) - 23:51, 18 April 2025
  • implementation was provided by Xavier Gourdon in 1996 for the Magma and PARI/GP computer algebra systems. The fundamental idea of the splitting circle method is...
    12 KB (2,184 words) - 21:17, 6 February 2025
  • mathematics, and more specifically in computer algebra, computational algebraic geometry, and computational commutative algebra, a Gröbner basis is a particular...
    63 KB (10,035 words) - 11:19, 16 May 2025
  • Conway polynomial (finite fields) (category Computer algebra)
    Databases of Conway polynomials are available in the computer algebra systems GAP, Macaulay2, Magma, SageMath, at the web site of Frank Lübeck, and at the...
    18 KB (1,777 words) - 21:05, 14 April 2025
  • Thumbnail for Boolean algebra (structure)
    In abstract algebra, a Boolean algebra or Boolean lattice is a complemented distributive lattice. This type of algebraic structure captures essential properties...
    49 KB (3,372 words) - 02:25, 17 September 2024
  • includes a programming language and computer algebra abilities. PARI/GP is a widely used computer algebra system designed for fast computations in number...
    20 KB (2,482 words) - 13:42, 29 March 2025