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<span class="kw">reconsider </span><font color="Maroon" title="c3">g</font> = <span class="p1">(<span class="default"><a href="field_4.html#K4" title="FIELD_4:func.4">KroneckerIso</a> <font color="Maroon" title="c2">p</font></span>)</span> <a href="field_2.html#K1" title="FIELD_2:func.1">"</a>  as   <a href="ring_3.html#NM3" title="RING_3:NM.3">Isomorphism</a> of <span class="p1">(<span class="default"><a href="field_1.html#K4" title="FIELD_1:func.4">KroneckerField</a> (<font color="Maroon" title="c1">F</font>,<font color="Maroon" title="c2">p</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="ring_4.html#K6" title="RING_4:func.6">Polynom-Ring</a> <font color="Maroon" title="c2">p</font></span>)</span> <span class="kw">by</span> <span class="lab"><a class="ref" href="ring_3.html#T73" onmouseover="rs('ring_3/T73')" onmouseout="rh()">RING_3:73</a></span>;<br/>
<a NAME="E2:75_2_1"/>
<font color="Maroon" title="c3">g</font> is   <a href="mod_4.html#NM1" title="MOD_4:NM.1">Homomorphism</a> of <span class="p1">(<span class="default"><a href="field_1.html#K4" title="FIELD_1:func.4">KroneckerField</a> (<font color="Maroon" title="c1">F</font>,<font color="Maroon" title="c2">p</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="ring_4.html#K6" title="RING_4:func.6">Polynom-Ring</a> <font color="Maroon" title="c2">p</font></span>)</span>
 
;<br/>
<span class="kw">hence </span><a NAME="E3:75_2_1"/>
 <a href="ring_4.html#K6" title="RING_4:func.6">Polynom-Ring</a> <font color="Maroon" title="c2">p</font> is  <a href="field_1.html#K4" title="FIELD_1:func.4">KroneckerField</a> (<font color="Maroon" title="c1">F</font>,<font color="Maroon" title="c2">p</font>) <a href="ring_2.html#V3" title="RING_2:attr.3">-homomorphic</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="ring_2.html#D4" onmouseover="rs('ring_2/D4')" onmouseout="rh()">RING_2:def 4</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> (  <a href="ring_4.html#K6" title="RING_4:func.6">Polynom-Ring</a> <font color="Maroon" title="c2">p</font> is  <a href="field_1.html#K4" title="FIELD_1:func.4">KroneckerField</a> (<font color="Maroon" title="c1">F</font>,<font color="Maroon" title="c2">p</font>) <a href="ring_3.html#V1" title="RING_3:attr.1">-monomorphic</a>  &amp;  <a href="ring_4.html#K6" title="RING_4:func.6">Polynom-Ring</a> <font color="Maroon" title="c2">p</font> is  <a href="field_1.html#K4" title="FIELD_1:func.4">KroneckerField</a> (<font color="Maroon" title="c1">F</font>,<font color="Maroon" title="c2">p</font>) <a href="ring_3.html#V2" title="RING_3:attr.2">-isomorphic</a>  )</span><br/>

<a NAME="E4:75_2_1"/>
<font color="Maroon" title="c3">g</font> is  <a href="mod_4.html#V3" title="MOD_4:attr.3">monomorphism</a> 
 
;<br/>
<span class="kw">hence </span><a NAME="E5:75_2_1"/>
 <a href="ring_4.html#K6" title="RING_4:func.6">Polynom-Ring</a> <font color="Maroon" title="c2">p</font> is  <a href="field_1.html#K4" title="FIELD_1:func.4">KroneckerField</a> (<font color="Maroon" title="c1">F</font>,<font color="Maroon" title="c2">p</font>) <a href="ring_3.html#V1" title="RING_3:attr.1">-monomorphic</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="ring_3.html#D3" onmouseover="rs('ring_3/D3')" onmouseout="rh()">RING_3:def 3</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="ring_4.html#K6" title="RING_4:func.6">Polynom-Ring</a> <font color="Maroon" title="c2">p</font> is  <a href="field_1.html#K4" title="FIELD_1:func.4">KroneckerField</a> (<font color="Maroon" title="c1">F</font>,<font color="Maroon" title="c2">p</font>) <a href="ring_3.html#V2" title="RING_3:attr.2">-isomorphic</a> </span><br/>

<a NAME="E6:75_2_1"/>
<font color="Maroon" title="c3">g</font> is   <a href="ring_3.html#NM3" title="RING_3:NM.3">Isomorphism</a> of <span class="p1">(<span class="default"><a href="field_1.html#K4" title="FIELD_1:func.4">KroneckerField</a> (<font color="Maroon" title="c1">F</font>,<font color="Maroon" title="c2">p</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="ring_4.html#K6" title="RING_4:func.6">Polynom-Ring</a> <font color="Maroon" title="c2">p</font></span>)</span>
 
;<br/>
<span class="kw">hence </span><a NAME="E7:75_2_1"/>
 <a href="ring_4.html#K6" title="RING_4:func.6">Polynom-Ring</a> <font color="Maroon" title="c2">p</font> is  <a href="field_1.html#K4" title="FIELD_1:func.4">KroneckerField</a> (<font color="Maroon" title="c1">F</font>,<font color="Maroon" title="c2">p</font>) <a href="ring_3.html#V2" title="RING_3:attr.2">-isomorphic</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="ring_3.html#D4" onmouseover="rs('ring_3/D4')" onmouseout="rh()">RING_3:def 4</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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