reesIdeal(...,MinimalGenerators=>...) -- Whether the saturation step returns minimal generators

Here X is of type boolean. Each of these functions involves the computation of a Rees algebra, which may involve a saturation step. This optional argument determines whether or not the output of the saturation step will be forced to have a minimal generating set. This is described in the documentation node for saturate.

Functions with optional argument named MinimalGenerators:

• compose(Module,Module,Module,MinimalGenerators=>...) -- see compose -- composition as a pairing on Hom-modules
• decompose(Ideal,MinimalGenerators=>...)
• End(...,MinimalGenerators=>...) -- see End -- module of endomorphisms
• Hom(...,MinimalGenerators=>...) -- see Hom -- module of homomorphisms
• homomorphism'(...,MinimalGenerators=>...) -- see homomorphism' -- get the element of Hom from a homomorphism
• intersect(Ideal,Ideal,MinimalGenerators=>...) -- see intersect(Ideal,Ideal) -- compute an intersection of a sequence of ideals or modules
• intersect(Module,Module,MinimalGenerators=>...) -- see intersect(Ideal,Ideal) -- compute an intersection of a sequence of ideals or modules
• intersectInP(...,MinimalGenerators=>...) -- see intersectInP(...,BasisElementLimit=>...) -- Option for intersectInP
• quotient'(...,MinimalGenerators=>...) (missing documentation)
• quotient(...,MinimalGenerators=>...)
• analyticSpread(...,MinimalGenerators=>...)
• associatedGradedRing(...,MinimalGenerators=>...)
• distinguished(...,MinimalGenerators=>...)
• isLinearType(...,MinimalGenerators=>...)
• isReduction(...,MinimalGenerators=>...)
• minimalReduction(...,MinimalGenerators=>...)
• multiplicity(...,MinimalGenerators=>...)
• normalCone(Ideal,MinimalGenerators=>...)
• normalCone(Ideal,RingElement,MinimalGenerators=>...)
• reesAlgebra(...,MinimalGenerators=>...)
• reesIdeal(...,MinimalGenerators=>...) -- Whether the saturation step returns minimal generators
• specialFiber(...,MinimalGenerators=>...)
• specialFiberIdeal(...,MinimalGenerators=>...)
• saturate(...,MinimalGenerators=>...)
• truncate(InfiniteNumber,InfiniteNumber,Matrix,MinimalGenerators=>...) (missing documentation)
• truncate(InfiniteNumber,Thing,MinimalGenerators=>...) (missing documentation)
• truncate(List,Ideal,MinimalGenerators=>...)
• truncate(List,List,Matrix,MinimalGenerators=>...) (missing documentation)
• truncate(List,Matrix,MinimalGenerators=>...)
• truncate(List,Module,MinimalGenerators=>...)
• truncate(List,Ring,MinimalGenerators=>...)
• truncate(Nothing,InfiniteNumber,Matrix,MinimalGenerators=>...) (missing documentation)
• truncate(Nothing,List,Matrix,MinimalGenerators=>...) (missing documentation)
• truncate(Nothing,ZZ,Matrix,MinimalGenerators=>...) (missing documentation)
• truncate(ZZ,Ideal,MinimalGenerators=>...)
• truncate(ZZ,Matrix,MinimalGenerators=>...)
• truncate(ZZ,Module,MinimalGenerators=>...)
• truncate(ZZ,Ring,MinimalGenerators=>...)
• truncate(ZZ,ZZ,Matrix,MinimalGenerators=>...) (missing documentation)

Further information

• Default value: true
• Function: reesIdeal -- Compute the defining ideal of the Rees Algebra
• Option key: MinimalGenerators -- whether to compute minimal generators and return a trimmed set of generators