Overview
Objects
Functionality
Examples
Applications
Extended Baserings
  • G-algebras (or algebras of solvable type):

    K<x1,...,xn | xj xi = Cij xi xj + Dij for all 1<i<j<n >,
    where Cij are nonzero constants and Dij are polynomials in x1,...,xn.

    • A well-ordering applied should satisfy lm( Dij)<xixj.
    • The algebra is set with the help of the SINGULAR data type ring and the matrices C and D.

  • factor algebras by a two-sided ideal

  • tensor products of one of the above

Ground Fields

Lille, 08-07-02 http://www.singular.uni-kl.de