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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E35">maxirr</font></span>: <a NAME="T25"><span class="comment"><font color="firebrick">:: RING_2:25</font></span><br/></a><div class="add"> 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="vectsp_2.html#NM1" title="VECTSP_2:NM.1">comRing</a><br/>  for <font color="Olive" title="b2">a</font> being   non  <a href="struct_0.html#V9" title="STRUCT_0:attr.9">zero</a>  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">R</font>  st <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Olive" title="b2">a</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> <a href="ideal_1.html#K7" title="IDEAL_1:func.7">-Ideal</a>  is  <a href="ring_1.html#V4" title="RING_1:attr.4">maximal</a>  holds <br/><font color="Olive" title="b2">a</font> is  <a href="ring_2.html#V5" title="RING_2:attr.5">irreducible</a> </div></div>
