• Felix

  • Referenced in 19 articles [sw01048]
  • Special computer algebra system (CAS) for the computation in commutative and non-commutative rings ... generalizations to non-commutative rings, in particular to free k-algebras 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, (non-commutative) symmetric functions and Schubert polynomials. Computer algebra system...
  • Congruence

  • Referenced in 2 articles [sw08632]
  • rationals or a non-commutative 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 non-commutative rings ... basis technique over some classes of Ore algebras. JanetOre computes Janet bases and Janet-like...
  • CRAG

  • Referenced in 7 articles [sw06865]
  • test cryptographic protocols constructed from non-commutative 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 non-commutative domain ... implementation of arithmetics over the ubiquitous G-algebras in Singular:Plural and discuss questions arising...
  • NCPOLY

  • Referenced in 6 articles [sw13518]
  • REDUCE package NCPOLY: Computation in non-commutative polynomial ideals. REDUCE supports a very general mechanism ... computing with objects under a noncommutative multiplication, where commutator relations must be introduced explicitly ... consistent environment for computing in an algebra where the noncommutativity 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 non-commuting 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, non-commutative 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...
  • 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 high-level language and interactive...