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<head><title>LocalRings -- Polynomial rings localized at a maximal ideal</title>
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<div><h1>LocalRings -- Polynomial rings localized at a maximal ideal</h1>
<div class="single"><h2>Description</h2>
<div><em>LocalRings</em> is a package for finding minimal generators, syzygies and resolutions for polynomial rings localized at a maximal ideal.</div>
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<div class="single"><h2>Authors</h2>
<ul><li><div class="single"><a href="http://www.msri.org/~de/">David Eisenbud</a><span> <<a href="mailto:de@msri.org">de@msri.org</a>></span></div>
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<li><div class="single"><a href="http://www.math.cornell.edu/~mike/">Mike Stillman</a><span> <<a href="mailto:mike@math.cornell.edu">mike@math.cornell.edu</a>></span></div>
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<div class="single"><h2>Version</h2>
This documentation describes version <b>1.0</b> of LocalRings.</div>
<div class="single"><h2>Source code</h2>
The source code from which this documentation is derived is in the file <a href="../../../../Macaulay2/LocalRings.m2">LocalRings.m2</a>.</div>
<div class="single"><h2>Exports</h2>
<ul><li><div class="single">Functions<ul><li><span><a href="_local__Complement.html" title="find the splitting of the target of a map">localComplement</a> -- find the splitting of the target of a map</span></li>
<li><span><a href="_local__Mingens.html" title="finds a minimal set of generators">localMingens</a> -- finds a minimal set of generators</span></li>
<li><span><a href="_local__Modulo.html" title="find the pre-image (pullback) of image of a map over a local ring">localModulo</a> -- find the pre-image (pullback) of image of a map over a local ring</span></li>
<li><span><a href="_local__Prune.html" title="find a minimal presentation">localPrune</a> -- find a minimal presentation</span></li>
<li><span><a href="_local__Resolution.html" title="find a resolution over a local ring">localResolution</a> -- find a resolution over a local ring</span></li>
<li><span><a href="_localsyz.html" title="find syzygies">localsyz</a> -- find syzygies</span></li>
<li><span><a href="_set__Max__Ideal.html" title="set the maximal ideal for local ring methods">setMaxIdeal</a> -- set the maximal ideal for local ring methods</span></li>
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<li><div class="single">Symbols<ul><li><span><tt>maxIdeal</tt> (missing documentation<!-- tag: maxIdeal -->)</span></li>
<li><span><tt>residueMap</tt> (missing documentation<!-- tag: residueMap -->)</span></li>
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