
Felix
 Referenced in 19 articles
[sw01048]
 Special computer algebra system (CAS) for the computation in commutative and noncommutative rings ... generalizations to noncommutative rings, in particular to free kalgebras and algebras of solvable...

ACE
 Referenced in 13 articles
[sw15066]
 includes packages providing combinatorial tools useful in algebraic combinatorics. Functions are mostly related ... tableaux, divided differences, (noncommutative) symmetric functions and Schubert polynomials. Computer algebra system...

Congruence
 Referenced in 2 articles
[sw08632]
 rationals or a noncommutative division algebra, in its rational group algebra...

JanetOre
 Referenced in 5 articles
[sw09587]
 algebras and more generally for submodules of free left modules over those noncommutative rings ... basis technique over some classes of Ore algebras. JanetOre computes Janet bases and Janetlike...

CRAG
 Referenced in 7 articles
[sw06865]
 test cryptographic protocols constructed from noncommutative groups, for example the braid group. The Library ... computations. There are implementations of basic algebraic objects like words, maps and subgroups. We plan...

olga.lib
 Referenced in 3 articles
[sw22197]
 algebras: Constructive Arithmetics in Ore Localizations of Domains. For a noncommutative domain ... implementation of arithmetics over the ubiquitous Galgebras in Singular:Plural and discuss questions arising...

NCPOLY
 Referenced in 6 articles
[sw13518]
 REDUCE package NCPOLY: Computation in noncommutative polynomial ideals. REDUCE supports a very general mechanism ... computing with objects under a non–commutative multiplication, where commutator relations must be introduced explicitly ... consistent environment for computing in an algebra where the non–commutativity is defined...

SNEG
 Referenced in 3 articles
[sw12815]
 collection of transformation rules that define the algebra of operators and a comprehensive library ... adapted to any given problem involving noncommuting operators. It can be used for educational...

HXDTRU
 Referenced in 1 article
[sw32107]
 NTRU cryptosystem based on highly dimensional algebra with dense lattice structure. NTRU public ... Shamir’s conclusion about the dnon commutative computations in encryption and decryption processes ... paper, a new alternative non associative, noncommutative multidimensional system is proposed under the same ... place in a specially designed high dimensional algebra called hexadecnion algebra. The proposed system...

Cadabra
 Referenced in 77 articles
[sw00097]
 Cadabra is a powerful computer program for the...

FeynHiggs
 Referenced in 42 articles
[sw00282]
 FeynHiggs: a program for the calculation of MSSM...

FLINT
 Referenced in 39 articles
[sw00297]
 Fast library for number theory: an introduction. We...

GAP
 Referenced in 2702 articles
[sw00320]
 GAP is a system for computational discrete algebra...

gfun
 Referenced in 126 articles
[sw00344]
 The gfun package provides tools for determining and...

LinBox
 Referenced in 38 articles
[sw00522]
 LinBox: A Generic Library for Exact Linear Algebra...

Macaulay2
 Referenced in 1567 articles
[sw00537]
 Macaulay2 is a software system devoted to supporting...

Magma
 Referenced in 2716 articles
[sw00540]
 Computer algebra system (CAS). Magma is a large...

Maple
 Referenced in 4896 articles
[sw00545]
 The result of over 30 years of cutting...

Mathematica
 Referenced in 5693 articles
[sw00554]
 Almost any workflow involves computing results, and that...

Matlab
 Referenced in 11446 articles
[sw00558]
 MATLAB® is a highlevel language and interactive...