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<head><title>AnnIFs(Ideal,RingElement) -- the annihilating ideal of f^s for an arbitrary D-module</title>
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<div><h1>AnnIFs(Ideal,RingElement) -- the annihilating ideal of f^s for an arbitrary D-module</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>AnnIFs(I,f)</tt></div>
</dd></dl>
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</li>
<li><span>Function: <a href="___Ann__I__Fs_lp__Ideal_cm__Ring__Element_rp.html" title="the annihilating ideal of f^s for an arbitrary D-module">AnnIFs</a></span></li>
<li><div class="single">Inputs:<ul><li><span><tt>I</tt>, <span>an <a href="../../Macaulay2Doc/html/___Ideal.html">ideal</a></span>, that represents a holonomic D-module<em>A<sub>n</sub>/I</em></span></li>
<li><span><tt>f</tt>, <span>a <a href="../../Macaulay2Doc/html/___Ring__Element.html">ring element</a></span>, a polynomial in a Weyl algebra <em>A<sub>n</sub></em> (should contain no differential variables)</span></li>
</ul>
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</li>
<li><div class="single">Outputs:<ul><li><span><span>an <a href="../../Macaulay2Doc/html/___Ideal.html">ideal</a></span>, the annihilating ideal of A<sub>n</sub>[f<sup>-1</sup>,s] f<sup>s</sup> tensored with A<sub>n</sub>/I over the ring of polynomials</span></li>
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<div class="single"><h2>Description</h2>
<div><table class="examples"><tr><td><pre>i1 : W = QQ[x,dx, WeylAlgebra=>{x=>dx}]
o1 = W
o1 : PolynomialRing</pre>
</td></tr>
<tr><td><pre>i2 : AnnIFs (ideal dx, x^2)
o2 = ideal(x*dx - 2s)
o2 : Ideal of QQ[x, dx, s]</pre>
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<div class="single"><h2>Caveat</h2>
<div>Caveats and known problems: The ring of f should not have any parameters: it should be a pure Weyl algebra. Similarly, this ring should not be a homogeneous Weyl algebra.</div>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="___Ann__Fs.html" title="the annihilating ideal of f^s">AnnFs</a> -- the annihilating ideal of f^s</span></li>
<li><span><a href="../../Macaulay2Doc/html/___Weyl__Algebra.html" title="name for an optional argument">WeylAlgebra</a> -- name for an optional argument</span></li>
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