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      <h1>toNCRing -- Converts a Ring to an NCRing</h1>
      <ul>
        <li>
          <dl class="element">
            <dt>Usage: </dt>
            <dd><code class="language-macaulay2">S = toNCRing R</code></dd>
          </dl>
        </li>
        <li>Inputs:          <ul>
            <li><span><span class="tt">R</span>, <span>a <a title="the class of all rings" href="../../Macaulay2Doc/html/___Ring.html">ring</a></span>, </span></li>
          </ul>
        </li>
        <li>Outputs:          <ul>
            <li><span><span class="tt">S</span>, <span>an instance of the type <a title="Type of a noncommutative ring" href="___N__C__Ring.html">NCRing</a></span>, </span></li>
          </ul>
        </li>
      </ul>
      <div>
        <h2>Description</h2>
        <div>
          <p>This function converts commutative rings and quotients of exterior algebras created by Macaulay2 to the type of an NCRing. An error is returned if the input ring has some commutative and some skew-commutative generators.</p>
        </div>
        <table class="examples">
          <tr>
            <td>
              <pre><code class="language-macaulay2">i1 : R = QQ[a,b,c,d]

o1 = R

o1 : PolynomialRing</code></pre>
            </td>
          </tr>
          <tr>
            <td>
              <pre><code class="language-macaulay2">i2 : I = ideal(a*d-b*c)

o2 = ideal(- b*c + a*d)

o2 : Ideal of R</code></pre>
            </td>
          </tr>
          <tr>
            <td>
              <pre><code class="language-macaulay2">i3 : S = R/I

o3 = S

o3 : QuotientRing</code></pre>
            </td>
          </tr>
          <tr>
            <td>
              <pre><code class="language-macaulay2">i4 : S' = toNCRing(S)
--Calling Bergman for NCGB calculation.
Complete!

o4 = S'

o4 : NCQuotientRing</code></pre>
            </td>
          </tr>
          <tr>
            <td>
              <pre><code class="language-macaulay2">i5 : ideal S'

o5 = Two-sided ideal {-ba+ab, -ca+ac, -cb+bc, -da+ad, -db+bd, -dc+cd, -bc+ad}

o5 : NCIdeal</code></pre>
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        <h2>See also</h2>
        <ul>
          <li><span><a title="Compute the abelianization of an NCRing and returns a Ring." href="_to__M2__Ring.html">toM2Ring</a> -- Compute the abelianization of an NCRing and returns a Ring.</span></li>
        </ul>
      </div>
      <div>
        <div class="waystouse">
          <h2>Ways to use <span class="tt">toNCRing</span>:</h2>
          <ul>
            <li><kbd>toNCRing(Ring)</kbd></li>
          </ul>
        </div>
        <div class="waystouse">
          <h2>For the programmer</h2>
          <p>The object <a title="Converts a Ring to an NCRing" href="_to__N__C__Ring.html">toNCRing</a> is <span>a <a title="a type of method function" href="../../Macaulay2Doc/html/___Method__Function.html">method function</a></span>.</p>
        </div>
        <hr>
        <div class="waystouse">
          <p>The source of this document is in <span class="tt">NCAlgebra/NCAlgebraDoc.m2:3587:0</span>.</p>
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