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<head><title>dim -- compute the Krull dimension</title>
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<div><h1>dim -- compute the Krull dimension</h1>
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<div class="single"><h2>Caveat</h2>
<div>To compute the dimension of a vector space, one should use <a href="_rank.html" title="compute the rank">rank</a>.<p/>
Over the integers, the computation effectively tensors first with the rational numbers, yielding the wrong answer in some cases.</div>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="_codim.html" title="compute the codimension">codim</a> -- compute the codimension</span></li>
</ul>
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<div class="waystouse"><h2>Ways to use <tt>dim</tt> :</h2>
<ul><li><span><a href="_dim_lp__Affine__Variety_rp.html" title="dimension of the affine variety">dim(AffineVariety)</a> -- dimension of the affine variety</span></li>
<li><span><a href="_dim_lp__Ideal_rp.html" title="compute the Krull dimension">dim(Ideal)</a> -- compute the Krull dimension</span></li>
<li><span>dim(MonomialIdeal), see <span><a href="_dim_lp__Ideal_rp.html" title="compute the Krull dimension">dim(Ideal)</a> -- compute the Krull dimension</span></span></li>
<li><span><a href="_dim_lp__Module_rp.html" title="compute the Krull dimension">dim(Module)</a> -- compute the Krull dimension</span></li>
<li><span><a href="_dim_lp__Projective__Hilbert__Polynomial_rp.html" title="the degree of the Hilbert polynomial">dim(ProjectiveHilbertPolynomial)</a> -- the degree of the Hilbert polynomial</span></li>
<li><span><a href="_dim_lp__Projective__Variety_rp.html" title="dimension of the projective variety">dim(ProjectiveVariety)</a> -- dimension of the projective variety</span></li>
<li><span>dim(FractionField), see <span><a href="_dim_lp__Ring_rp.html" title="compute the Krull dimension">dim(Ring)</a> -- compute the Krull dimension</span></span></li>
<li><span>dim(GaloisField), see <span><a href="_dim_lp__Ring_rp.html" title="compute the Krull dimension">dim(Ring)</a> -- compute the Krull dimension</span></span></li>
<li><span>dim(InexactField), see <span><a href="_dim_lp__Ring_rp.html" title="compute the Krull dimension">dim(Ring)</a> -- compute the Krull dimension</span></span></li>
<li><span>dim(PolynomialRing), see <span><a href="_dim_lp__Ring_rp.html" title="compute the Krull dimension">dim(Ring)</a> -- compute the Krull dimension</span></span></li>
<li><span>dim(QuotientRing), see <span><a href="_dim_lp__Ring_rp.html" title="compute the Krull dimension">dim(Ring)</a> -- compute the Krull dimension</span></span></li>
<li><span><a href="_dim_lp__Ring_rp.html" title="compute the Krull dimension">dim(Ring)</a> -- compute the Krull dimension</span></li>
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