InnerCommonDenominator(R, Q, A, B)

cden.spad line 1 [edit on github]

• R: IntegralDomain

• Q: QuotientFieldCategory R

• A: Join(LinearAggregate R, finiteAggregate)

• B: Join(LinearAggregate Q, finiteAggregate)

InnerCommonDenominator provides functions to compute the common denominator of a finite linear aggregate of elements of the quotient field of an integral domain.

clearDenominator: B -> A

clearDenominator([q1, ..., qn]) returns [p1, ..., pn] such that qi = pi/d where d is a common denominator for the qi's.

commonDenominator: B -> R

commonDenominator([q1, ..., qn]) returns a common denominator d for q1, …, qn.

splitDenominator: B -> Record(num: A, den: R)

splitDenominator([q1, ..., qn]) returns [[p1, ..., pn], d] such that qi = pi/d and d is a common denominator for the qi's.