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<head><title>pommaretMultVar -- return table of multiplicative variables for given module elements as determined by Pommaret division</title>
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<div><h1>pommaretMultVar -- return table of multiplicative variables for given module elements as determined by Pommaret division</h1>
<div class="single"><h2>Synopsis</h2>
<ul><li><div class="list"><dl class="element"><dt class="heading">Usage: </dt><dd class="value"><div><tt>pommaretMultVar M</tt></div>
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<li><div class="single">Inputs:<ul><li><span>M, <span>a <a href="../../Macaulay2Doc/html/___Matrix.html">matrix</a></span> or <span>a <a href="../../Macaulay2Doc/html/___List.html">list</a></span></span></li>
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<li><div class="single">Outputs:<ul><li><span><span>a <a href="../../Macaulay2Doc/html/___List.html">list</a></span>, list of sets of variables of the polynomial ring; the i-th set consists of the multiplicative variables for the i-th generator in J</span></li>
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<div class="single"><h2>Description</h2>
<div><table class="examples"><tr><td><pre>i1 : R = QQ[x1,x2,x3];</pre>
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<tr><td><pre>i2 : M = matrix {{ x1*x2*x3, x2^2*x3, x1*x2*x3^2 }};
1 3
o2 : Matrix R <--- R</pre>
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<tr><td><pre>i3 : pommaretMultVar M
o3 = {set {x3}, set {x3}, set {x3}}
o3 : List</pre>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="_janet__Mult__Var.html" title="return table of multiplicative variables for given module elements as determined by Janet division">janetMultVar</a> -- return table of multiplicative variables for given module elements as determined by Janet division</span></li>
<li><span><a href="_janet__Basis.html" title="compute Janet basis for an ideal or a submodule of a free module">janetBasis</a> -- compute Janet basis for an ideal or a submodule of a free module</span></li>
<li><span><a href="_mult__Var.html" title="extract the sets of multiplicative variables for each generator (in several contexts)">multVar</a> -- extract the sets of multiplicative variables for each generator (in several contexts)</span></li>
<li><span><a href="_is__Pommaret__Basis.html" title="check whether or not a given Janet basis is also a Pommaret basis">isPommaretBasis</a> -- check whether or not a given Janet basis is also a Pommaret basis</span></li>
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<div class="waystouse"><h2>Ways to use <tt>pommaretMultVar</tt> :</h2>
<ul><li>pommaretMultVar(List)</li>
<li>pommaretMultVar(Matrix)</li>
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