<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="ideal_2.html#V3" title="IDEAL_2:attr.3">-primary</a> <a onclick="hs(this)" href="javascript:()">IDEAL_2:def 6 : <br/></a><span> for <font color="Olive" title="b1">A</font> being   non  <a href="struct_0.html#V6" title="STRUCT_0:attr.6">degenerated</a>   <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">P</font>, <font color="Olive" title="b3">Q</font> being   <a href="ideal_1.html#NM1" title="IDEAL_1:NM.1">Ideal</a> of <font color="Olive" title="b1">A</font> holds <br/> ( <font color="Olive" title="b3">Q</font> is <font color="Olive" title="b2">P</font> <a href="ideal_2.html#V3" title="IDEAL_2:attr.3">-primary</a>  iff  <a href="ideal_1.html#K17" title="IDEAL_1:func.17">sqrt</a> <font color="Olive" title="b3">Q</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">P</font> );<br/></span></div>
