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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E16">ker0</font></span>: <a NAME="T12"><span class="comment"><font color="firebrick">:: RING_2:12</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font> being   <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</a><br/>  for <font color="Olive" title="b2">S</font> being  <font color="Olive">b<sub>1</sub></font> <a href="ring_2.html#V3" title="RING_2:attr.3">-homomorphic</a>  <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</a><br/>  for <font color="Olive" title="b3">f</font> being   <a href="ring_2.html#NM2" title="RING_2:NM.2">Homomorphism</a> of <font color="Olive" title="b1">R</font>,<font color="Olive" title="b2">S</font> holds <br/> ( <font color="Olive" title="b3">f</font> is  <a href="mod_4.html#V3" title="MOD_4:attr.3">monomorphism</a>  iff  <a href="vectsp10.html#K8" title="VECTSP10:func.8">ker</a> <font color="Olive" title="b3">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Olive" title="b1">R</font></span>)</span></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> )</div></div>
