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<div><span class="kw">theorem </span><a NAME="T15"><span class="comment"><font color="firebrick">:: RING_2:15</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  <font color="Olive" title="b1">R</font> <a href="ring_1.html#NK3" title="RING_1:NK.3">/</a> <span class="p1">(<span class="default"><a href="vectsp10.html#K8" title="VECTSP10:func.8">ker</a> <font color="Olive" title="b3">f</font></span>)</span>, <a href="ring_2.html#K5" title="RING_2:func.5">Image</a> <font color="Olive" title="b3">f</font> <a href="ring_2.html#NR1" title="RING_2:NR.1">are_isomorphic</a> </div></div>
