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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E7">defhom</font></span>   defines <a href="ring_2.html#V3" title="RING_2:attr.3">-homomorphic</a> <a onclick="hs(this)" href="javascript:()">RING_2:def 4 : <br/></a><span> for <font color="Olive" title="b1">R</font>, <font color="Olive" title="b2">S</font> being   <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</a> holds <br/> ( <font color="Olive" title="b2">S</font> is <font color="Olive" title="b1">R</font> <a href="ring_2.html#V3" title="RING_2:attr.3">-homomorphic</a>  iff  ex <font color="Olive" title="b3">f</font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Olive" title="b1">R</font>,<font color="Olive" title="b2">S</font> st <font color="Olive" title="b3">f</font> is  <a href="quofield.html#NV1" title="QUOFIELD:NV.1">RingHomomorphism</a>  );<br/></span></div>
