<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E57">defideal</font></span>   defines <a href="field_11.html#M1" title="FIELD_11:mode.1">maxIdeal</a> <a onclick="hs(this)" href="javascript:()">FIELD_11:def 8 : <br/></a><span> for <font color="Olive" title="b1">R</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">I</font> being   <a href="subset_1.html#V1" title="SUBSET_1:attr.1">proper</a>  <a href="ideal_1.html#NM1" title="IDEAL_1:NM.1">Ideal</a> of <font color="Olive" title="b1">R</font><br/>  for <font color="Olive">b<sub>3</sub></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">b<sub>3</sub></font> is    <a href="field_11.html#M1" title="FIELD_11:mode.1">maxIdeal</a> of <font color="Olive" title="b2">I</font> iff ( <font color="Olive" title="b2">I</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive">b<sub>3</sub></font> &amp; <font color="Olive">b<sub>3</sub></font> is  <a href="ring_1.html#V4" title="RING_1:attr.4">maximal</a>  ) );<br/></span></div>
