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<div><span class="kw">theorem </span><a NAME="T18"><span class="comment"><font color="firebrick">:: RING_1:18</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font> being   <a href="group_1.html#V5" title="GROUP_1:attr.5">commutative</a>  <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</a><br/>  for <font color="Olive" title="b2">I</font> being   <a href="ideal_1.html#NM1" title="IDEAL_1:NM.1">Ideal</a> of <font color="Olive" title="b1">R</font> holds <br/> ( <font color="Olive" title="b2">I</font> is  <a href="ring_1.html#V2" title="RING_1:attr.2">prime</a>  iff <font color="Olive" title="b1">R</font> <a href="ring_1.html#NK3" title="RING_1:NK.3">/</a> <font color="Olive" title="b2">I</font> is   <a href="vectsp_2.html#NM2" title="VECTSP_2:NM.2">domRing</a> ) <span class="kw">by</span> <span class="lab"><a class="ref" href="ring_1.html#T16" target="_self" onmouseover="rs('ring_1/T16')" onmouseout="rh()">Th16</a>, <a class="ref" href="ring_1.html#T17" target="_self" onmouseover="rs('ring_1/T17')" onmouseout="rh()">Th17</a></span>;<br/></div></div>
