<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E27">NIL1</font></span>   defines <a href="field_16.html#V3" title="FIELD_16:attr.3">reduced</a> <a onclick="hs(this)" href="javascript:()">FIELD_16:def 5 : <br/></a><span> for <font color="Olive" title="b1">R</font> being   <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</a> holds <br/> ( <font color="Olive" title="b1">R</font> is  <a href="field_16.html#V3" title="FIELD_16:attr.3">reduced</a>  iff  for <font color="Olive" title="b2">a</font> being   <a href="topzari1.html#V1" title="TOPZARI1:attr.1">nilpotent</a>  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">R</font> holds  <font color="Olive" title="b2">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Olive" title="b1">R</font> );<br/></span></div>
