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Macaulay2-1.3.1-8.fc15.i686.rpm

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<head><title>resolution(..., SyzygyLimit => ...) -- stop when this number of syzygies are obtained</title>
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<div><h1>resolution(..., SyzygyLimit => ...) -- stop when this number of syzygies are obtained</h1>
<div class="single"><h2>Description</h2>
<div><tt>SyzygyLimit</tt> -- keyword for an optional argument used with <a href="_resolution.html" title="projective resolution">resolution</a>, which specifies that the computation should stop after a certain number of syzygies have computed.<p/>
<table class="examples"><tr><td><pre>i1 : R = ZZ/101[x,y,z,w];</pre>
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<tr><td><pre>i2 : M = cokernel matrix {{x*y-z^2,y^2-w^2,w^4}}

o2 = cokernel | xy-z2 y2-w2 w4 |

                            1
o2 : R-module, quotient of R</pre>
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<tr><td><pre>i3 : res(M,SyzygyLimit => 1)

      1      1
o3 = R  &lt;-- R  &lt;-- 0
                    
     0      1      2

o3 : ChainComplex</pre>
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<tr><td><pre>i4 : res(M,SyzygyLimit => 2)

      1      2
o4 = R  &lt;-- R  &lt;-- 0
                    
     0      1      2

o4 : ChainComplex</pre>
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<tr><td><pre>i5 : res(M,SyzygyLimit => infinity)

      1      3      3      1
o5 = R  &lt;-- R  &lt;-- R  &lt;-- R  &lt;-- 0
                                  
     0      1      2      3      4

o5 : ChainComplex</pre>
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<h2>Further information</h2>
<ul><li><span>Default value: <a href="_infinity.html" title="infinity">infinity</a></span></li>
<li><span>Function: <span><a href="_resolution.html" title="projective resolution">resolution</a> -- projective resolution</span></span></li>
<li><span>Option name: <span><a href="___Syzygy__Limit.html" title="name for an optional argument">SyzygyLimit</a> -- name for an optional argument</span></span></li>
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