CommonDenominator(R, Q, A)

cden.spad line 43 [edit on github]

• R : IntegralDomain
• Q : QuotientFieldCategory(R)
• A : FiniteLinearAggregate(Q)

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

clearDenominator : A -> A

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

commonDenominator : A -> R

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

splitDenominator : A -> 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.