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<p style="line-height: 150%" align="center">子代数 </p>
<p style="line-height: 150%"><a name="content-6-2-2-zidaishu"></a>子代数<br>
给定<a href="content-6-1-1.htm#content-6-1-1-daishuxitong">代数系统</a> V=<S,<img src="image/f1.GIF" width="24" height="29">,<img src="image/f2.GIF" width="27" height="24">...<img src="image/fm.GIF" width="28" height="29">>。设
X 是 S 的非空子集,亦即 X<img src="image/baohan.gif" width="11" height="10">S
并且在运算集合{<img src="image/f1.GIF" width="24" height="29">,<img src="image/f2.GIF" width="27" height="24">...<img src="image/fm.GIF" width="28" height="29">}的作用下,子集
X 是<a href="content-5-5-1.htm#content-5-5-1-fengbi">封闭</a>的。于是有:<br>
(1)称<img src="image/vz.GIF">=<X,<img src="image/f1.GIF" width="24" height="29">,<img src="image/f2.GIF" width="27" height="24">...<img src="image/fm.GIF" width="28" height="29">>是
V 的子代数系统,或者子代数,有时也简称子系统。<br>
(2)如果有 X<img src="image/shuyu_zhenziji.gif" width="10" height="8">S,则称
<img src="image/vz.GIF">是
V 的真子系统或真子代数。<br>
(3)称代数系统 V 是子系统 <img src="image/vz.GIF">
的扩大。</p>
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<p style="line-height: 150%" > </p>
<p style="line-height: 150%"> </p><p align="right"><b><a href="contentFrame-mulu.htm"><<back</a></b>
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