35.2 Operations on elements of the algebra

In this section let u denote an element of the term algebra T representing [u] in the quotient algebra A.

  • ReducedProduct( rws, u, v ) O

    The result is w where [w] = [u][v] in A and w is in reduced form.

    The remaining operations are defined similarly when they are defined (as determined by the signature of the term algebra).

  • ReducedSum( rws, left, right ) O

  • ReducedOne( rws ) O

  • ReducedAdditiveInverse( rws, obj ) O

  • ReducedComm( rws, left, right ) O

  • ReducedConjugate( rws, left, right ) O

  • ReducedDifference( rws, left, right ) O

  • ReducedInverse( rws, obj ) O

  • ReducedLeftQuotient( rws, left, right ) O

  • ReducedPower( rws, obj, pow ) O

  • ReducedQuotient( rws, left, right ) O

  • ReducedScalarProduct( rws, left, right ) O

  • ReducedZero( rws ) O

    [Top] [Previous] [Up] [Next] [Index]

    GAP 4 manual
    February 2000