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<head><title>ambient -- ambient free module of a subquotient, or ambient ring</title>
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<div><h1>ambient -- ambient free module of a subquotient, or ambient ring</h1>
<div class="single"><h2>Description</h2>
<div>Each module M in Macaulay2 is a quotient, submodule or subquotient of a free module, called the ambient free module of M.<p/>
The ambient ring of a quotient ring R/I is the polynomial ring of that it is a quotient. The ambient ring of a Galois field is the quotient ring that it was constructed from.<p/>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="___G__F.html" title="make a finite field">GF</a> -- make a finite field</span></li>
<li><span><a href="_cover.html" title="get the covering free module">cover</a> -- get the covering free module</span></li>
<li><span><a href="_super.html" title="get the ambient module">super</a> -- get the ambient module</span></li>
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<div class="waystouse"><h2>Ways to use <tt>ambient</tt> :</h2>
<ul><li><span><a href="_ambient_lp__Affine__Variety_rp.html" title="">ambient(AffineVariety)</a></span></li>
<li><span><a href="_ambient_lp__Coherent__Sheaf_rp.html" title="">ambient(CoherentSheaf)</a></span></li>
<li><span><a href="_ambient_lp__Galois__Field_rp.html" title="corresponding quotient ring">ambient(GaloisField)</a> -- corresponding quotient ring</span></li>
<li><span><a href="_ambient_lp__Graded__Module_rp.html" title="">ambient(GradedModule)</a></span></li>
<li><span><a href="_ambient_lp__Matrix_rp.html" title="">ambient(Matrix)</a></span></li>
<li><span><a href="_ambient_lp__Module_rp.html" title="ambient free module">ambient(Module)</a> -- ambient free module</span></li>
<li><span><a href="_ambient_lp__Projective__Variety_rp.html" title="">ambient(ProjectiveVariety)</a></span></li>
<li><span>ambient(PolynomialRing), see <span><a href="_ambient_lp__Ring_rp.html" title="ambient polynomial ring">ambient(Ring)</a> -- ambient polynomial ring</span></span></li>
<li><span>ambient(QuotientRing), see <span><a href="_ambient_lp__Ring_rp.html" title="ambient polynomial ring">ambient(Ring)</a> -- ambient polynomial ring</span></span></li>
<li><span><a href="_ambient_lp__Ring_rp.html" title="ambient polynomial ring">ambient(Ring)</a> -- ambient polynomial ring</span></li>
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