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dim -- compute the Krull dimension
Caveat
To compute the dimension of a vector space, one should use
rank
.
Over the integers, the computation effectively tensors first with the rational numbers, yielding the wrong answer in some cases.
See also
codim
-- compute the codimension
Ways to use
dim
:
dim(AffineVariety)
-- dimension of the affine variety
dim(Ideal)
-- compute the Krull dimension
dim(MonomialIdeal), see
dim(Ideal)
-- compute the Krull dimension
dim(Module)
-- compute the Krull dimension
dim(ProjectiveHilbertPolynomial)
-- the degree of the Hilbert polynomial
dim(ProjectiveVariety)
-- dimension of the projective variety
dim(Ring)
-- compute the Krull dimension