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<head><title>dimension, codimension, and degree</title>
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<div><a href="index.html" title="">Macaulay2Doc</a> > <a href="_ideals.html" title="">ideals</a> > <a href="_dimension_cm_spcodimension_cm_spand_spdegree.html" title="">dimension, codimension, and degree</a></div>
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<div><h1>dimension, codimension, and degree</h1>
<div>Use <a href="_dim.html" title="compute the Krull dimension">dim</a>, <a href="_codim.html" title="compute the codimension">codim</a>, and <a href="_degree.html" title="">degree</a> to compute the dimension, codimension and degree, respectively, of an ideal. The functions <a href="_dim.html" title="compute the Krull dimension">dim</a> and <a href="_degree.html" title="">degree</a> compute the dimension and degree of the ring <tt>R/I</tt>.<table class="examples"><tr><td><pre>i1 : R = ZZ/101[x,y,z];</pre>
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<tr><td><pre>i2 : I = ideal(x^3-y*z^2,x*y-z^2,x*z);
o2 : Ideal of R</pre>
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<tr><td><pre>i3 : dim I
o3 = 1</pre>
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<tr><td><pre>i4 : codim I
o4 = 2</pre>
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<tr><td><pre>i5 : degree I
o5 = 2</pre>
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