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<a NAME="E1:75_1_1"/><span class="lab"><font color="Green" title="E30">A1</font></span>: 
(  <a href="field_4.html#K4" title="FIELD_4:func.4">KroneckerIso</a> <font color="Maroon" title="c2">p</font> is  <a href="ringcat1.html#V1" title="RINGCAT1:attr.1">linear</a>  &amp;  <a href="field_4.html#K4" title="FIELD_4:func.4">KroneckerIso</a> <font color="Maroon" title="c2">p</font> is  <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a>  )
 
;<br/>
<span class="kw">hence </span><a NAME="E2:75_1_1"/>
 <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>) is  <a href="ring_4.html#K6" title="RING_4:func.6">Polynom-Ring</a> <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="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>) is  <a href="ring_4.html#K6" title="RING_4:func.6">Polynom-Ring</a> <font color="Maroon" title="c2">p</font> <a href="ring_3.html#V1" title="RING_3:attr.1">-monomorphic</a>  &amp;  <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>) is  <a href="ring_4.html#K6" title="RING_4:func.6">Polynom-Ring</a> <font color="Maroon" title="c2">p</font> <a href="ring_3.html#V2" title="RING_3:attr.2">-isomorphic</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E3:75_1_1"/>
 <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>) is  <a href="ring_4.html#K6" title="RING_4:func.6">Polynom-Ring</a> <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="txt" href="#E1:75_1_1"><span class="lab"><font color="Green" title="E30">A1</font></span></a>, <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="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>) is  <a href="ring_4.html#K6" title="RING_4:func.6">Polynom-Ring</a> <font color="Maroon" title="c2">p</font> <a href="ring_3.html#V2" title="RING_3:attr.2">-isomorphic</a> </span><br/>

<span class="kw">thus </span><a NAME="E4:75_1_1"/>
 <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>) is  <a href="ring_4.html#K6" title="RING_4:func.6">Polynom-Ring</a> <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="txt" href="#E1:75_1_1"><span class="lab"><font color="Green" title="E30">A1</font></span></a>, <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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