<?xml version="1.0"?>
<div class="add">

<a NAME="E1:51_1_1"/>
( <font color="Maroon">H<sub>2</sub></font>(<font color="Maroon" title="c1">R</font>) is <a href="rlvect_1.html#V3" title="RLVECT_1:attr.3">Abelian</a> &amp; <font color="Maroon">H<sub>2</sub></font>(<font color="Maroon" title="c1">R</font>) is <a href="rlvect_1.html#V4" title="RLVECT_1:attr.4">add-associative</a> &amp; <font color="Maroon">H<sub>2</sub></font>(<font color="Maroon" title="c1">R</font>) is <a href="rlvect_1.html#V5" title="RLVECT_1:attr.5">right_zeroed</a> &amp; <font color="Maroon">H<sub>2</sub></font>(<font color="Maroon" title="c1">R</font>) is <a href="rlvect_1.html#V6" title="RLVECT_1:attr.6">right_complementable</a> )
 
<b>by </b><i><a class="txt" href="vectsp_2.html#E74"><i><font color="Green" title="E21">Lm6</font></i></a></i>;<br/>
<b>hence </b><a NAME="E2:51_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  <a href="vectsp_2.html#L1" title="VECTSP_2:struct.1">RightModStr</a> of <font color="Maroon" title="c1">R</font> st <br/>( <font color="Olive">b<sub>1</sub></font> is <a href="rlvect_1.html#V3" title="RLVECT_1:attr.3">Abelian</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="rlvect_1.html#V4" title="RLVECT_1:attr.4">add-associative</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="rlvect_1.html#V5" title="RLVECT_1:attr.5">right_zeroed</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="rlvect_1.html#V6" title="RLVECT_1:attr.6">right_complementable</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="vectsp_2.html#V2" title="VECTSP_2:attr.2">strict</a> )
 ;<br/>


</div>
