关于BZ代数的若干注记  被引量：1

Some Notes on BZAlgebras</em> <p class='article-op'> <span id="bdshare" class="bdshare_t bds_tools get-codes-bdshare baidufx"><span><span class="bds_more" style="display: block; width: 62px; height: 29px; background: url(/images/share.gif) no-repeat!important; padding: 0;"></span></span></span> </p> <p class="article-source"> <a href ='/article/read.aspx?id=6850083' class='btnTitle btnIsView' target='_blank'><img alt='在线阅读' src='/images/btn-read.png'/></a><a class='btnTitle btnIsView' href="javascript:showdown('E6MvYEVq+I5zK60OiwqluSG2PsZR6BerMPwtoXQO+wA=')"><img alt="下载全文" src="/images/btn-down.png" /></a> <input id="hiddowninfo" type="hidden" value="E6MvYEVq+I5zK60OiwqluSG2PsZR6BerMPwtoXQO+wA="/> </p> <div class="collect" style="display: none"> <h5>我的收藏</h5> <div class="cnt"> <p> 名 称：<input type="text" name="collTitle" id="collSumTitle" /> </p> <p> 注 释：<input type="text" name="collRemark" id="collSumRemark" /> </p> <p style="text-align: center;"> <a href="javascript:void(0)" onclick="g_collectSumOk();"> <img width="65" height="17" src="/images_new/collect_ok.png" alt="完成" /></a> <a href="javascript:void(0)" onclick="g_collectSumCancel();"> <img width="65" height="17" src="/images_new/collect_no.png" alt="取消" /></a> </p> </div> </div> </div> <form name="wxTransfer" method="post"> <input type="hidden" name="lid" value="" /> <input type="hidden" name="sip" value="" /> <input type="hidden" name="date" value="" /> <input type="hidden" name="co" value="" /> <input type="hidden" name="Title_C" value="" /> <input type="hidden" name="Writers" value="" /> <input type="hidden" name="Name_C" value="" /> <input type="hidden" name="Num" value="" /> <input type="hidden" name="Years" value="" /> <input type="hidden" name="Volumn" value="" /> <input type="hidden" name="GCH" value="" /> <input type="hidden" name="Vol" value="" /> <input type="hidden" name="BookID" value="" /> <input type="hidden" name="SubjectNum" value="" /> <input type="hidden" name="SpecialNum" value="" /> <input type="hidden" name="mirrorName" value="" /> <input type="hidden" name="UserID" value="" /> <input type="hidden" name="UserName" value="" /> <input type="hidden" name="sourceID" value="" /> </form> <script type="text/javascript" src="/scripts/transfer.min.js"></script> <div class="article-detail"> <p class='author'><strong>作　　者：</strong><a href='/writer/article.aspx?id=100000001955710' target='_blank' ><b class='type_ico_id'></b></a><a href='/zk/search.aspx?key=A%3d%5b%e5%ae%8b%e5%ad%90%e4%bc%a6%5d' title='宋子伦[1]'>宋子伦[1]</a> <em> </em></p><p class='organ'><strong>机构地区：</strong><a href='/organ/article.aspx?id=20342&subid=&showname=&searchtype=' target='_blank'><b class='type_ico_id'></b></a><a href='/zk/search.aspx?key=S%3d%e9%99%95%e8%a5%bf%e7%90%86%e5%b7%a5%e5%ad%a6%e9%99%a2%e6%95%b0%e5%ad%a6%e4%b8%8e%e8%ae%a1%e7%ae%97%e6%9c%ba%e7%a7%91%e5%ad%a6%e7%b3%bb' title='[1]陕西理工学院数学与计算机科学系,陕西汉中723001'>[1]陕西理工学院数学与计算机科学系,陕西汉中723001</a> <em> </em></p><p class='from'><strong>出　　处：</strong><a href='/journal/summary.aspx?gch=81474A' target='_blank'><b class='type_ico_id'></b></a><a href='/zk/search.aspx?key=J%3d%5b%e6%b8%ad%e5%8d%97%e5%b8%88%e8%8c%83%e5%ad%a6%e9%99%a2%e5%ad%a6%e6%8a%a5%5d' title='渭南师范学院学报'>《渭南师范学院学报》</a>2002年第5期50-52,共3页<em>Journal of Weinan Normal University</em></p><p class='fund'><strong>基　　金：</strong>.NULL.</p><p class='abstrack'><strong>摘　　要：</strong>给出结合BZ 代数的若干充要条件,证明了结合BZ 代数与结合BCI 代数(对合群)等价,并指出文献[13]中的一处失误.<em><Abstrcat>Some necessary and sufficient conditions of associative BZalgebra are given, and associative BZalgebra and associative BCIalgebra (involutionary group) are proved equivalent. Also a mistake in has been found.</em></p><p class='subject'><strong>关 键 词：</strong><a href='/subject/article.aspx?id=8231217' target='_blank'><b class='type_ico_id'></b></a><a href='/zk/search.aspx?key=K%3d%5bBZ-%e4%bb%a3%e6%95%b0%5d' title='BZ-代数'>BZ-代数</a> <a href='/subject/article.aspx?id=8202595' target='_blank'><b class='type_ico_id'></b></a><a href='/zk/search.aspx?key=K%3d%5bBCI-%e4%bb%a3%e6%95%b0%5d' title='BCI-代数'>BCI-代数</a> <a href='/zk/search.aspx?key=K%3d%5b%e5%af%b9%e5%90%88%e7%be%a4%5d' title='对合群'>对合群</a> <a href='/zk/search.aspx?key=K%3d%5b%e7%be%a4%e9%80%86BZ-%e4%bb%a3%e6%95%b0%5d' title='群逆BZ-代数'>群逆BZ-代数</a> <a href='/zk/search.aspx?key=K%3d%5b%e7%bb%93%e5%90%88BZ-%e4%bb%a3%e6%95%b0%5d' title='结合BZ-代数'>结合BZ-代数</a> <a href='/subject/article.aspx?id=4915000' target='_blank'><b class='type_ico_id'></b></a><a href='/zk/search.aspx?key=K%3d%5b%e7%bb%93%e5%90%88BCI-%e4%bb%a3%e6%95%b0%5d' title='结合BCI-代数'>结合BCI-代数</a> </p><p class='class'><strong>分 类 号：</strong><a href='/zk/search.aspx?key=C%3dO153.3' title='O153.3'>O153.3</a>[<a href = '/domain/article.aspx?id=378' >理学—数学</a>] </p> </div> <div id="content_wzxg" name="wzxg" class="article-graph"> <object width="695" height="250" classid="clsid:D27CDB6E-AE6D-11cf-96B8-444553540000" id="FlashID"> <param value="../flash/relation.swf" name="movie"> <param value="high" name="quality"> <param value="opaque" name="wmode"> <param value="6.0.65.0" name="swfversion"> <param value="dataUrl=/ajax/articlerelativegraph.ashx?id=6850083" name="flashVars"> <embed width="695" height="250" src="../flash/relation.swf" type="application/x-shockwave-flash" quality="high" wmode="opaque" flashvars="dataUrl=/ajax/articlerelativegraph.ashx?id=6850083"> </embed> </object> </div> <div class="article-relate-list"> <div class="relate-list"> <p id="ckwx_br"> </p> <h2 name="ckwx" id="ckwx">参考文献：</h2> <div id="listckwx"> <p class='submit'> <img src='/images/loading.gif' width='16' height='16' /> 正在载入数据... </p> </div> </div> <div class="relate-list"> <p id="2jckwx_br"> </p> <h2 name="2jckwx" id="2jckwx">二级参考文献：</h2> <div id="list2jckwx"> <p class='submit'> <img src='/images/loading.gif' width='16' height='16' /> 正在载入数据... </p> </div> </div> <div class="relate-list"> <p id="ohwx_br"> </p> <h2 name="ohwx" id="ohwx">耦合文献：</h2> <div id="listohwx"> <p class='submit'> <img src='/images/loading.gif' width='16' height='16' /> 正在载入数据... </p> </div> </div> <div class="relate-list"> <p id="yzwx_br"> </p> <h2 name="yzwx" id="yzwx">引证文献：</h2> <div id="listyzwx"> <p class='submit'> <img src='/images/loading.gif' width='16' height='16' /> 正在载入数据... </p> </div> </div> <div class="relate-list"> <p id="2jyzwx_br"> </p> <h2 name="2jyzwx" id="2jyzwx">二级引证文献：</h2> <div id="list2jyzwx"> <p class='submit'> <img src='/images/loading.gif' width='16' height='16' /> 正在载入数据... </p> </div> </div> <div class="relate-list"> <p id="tbywx_br"> </p> <h2 name="tbywx" id="tbywx">同被引文献：</h2> <div id="listtbywx"> <p class='submit'> <img src='/images/loading.gif' width='16' height='16' /> 正在载入数据... </p> </div> </div> <div class="relate-list"> <p id="xgqklw_br"> </p> <h2 name="xgqklw" id="xgqklw">相关期刊文献：</h2> <div id="listxgqklw"> <p class='submit'> <img src='/images/loading.gif' width='16' height='16' /> 正在载入数据... </p> </div> </div> </div> </div> <div class="article-about"> <div class="about-box"> <h5 class="name">相关的主题<tt><a class="hide" href="#"></a></tt></h5> <div class="about-list"> </div> </div> <div class="about-box"> <h5 class="name">相关的作者对象<tt><a class="" href="#"></a></tt></h5> <div class="about-list" style="display: none;"> </div> </div> <div class="about-box"> <h5 class="name">相关的机构对象<tt><a class="" href="#"></a></tt></h5> <div class="about-list" style="display: none;"> </div> </div> </div> </div> </div> <script type="text/javascript" src="/scripts/articlerelation.min.js"></script> <script type="text/javascript" src="/scripts/articlerightrelation.min.js"></script> <script type="text/javascript" src="/scripts/articledown.min.js"></script> <div class="layer-box download" id="downloadlayer" style="display: none"> <div class="close"> <a onclick="closedown()" href="javascript:void(0)"> <img src="/images/layer-close.png" width="21" height="21" alt="" /> </a> </div> <h5 class="layer-title">下载全文</h5> <div id="downloadinfo"></div> </div> <div class="layer-box download" id="downloadlayer2" style="display:none;min-height:100px;width:500px;"> <p> <img src="/images/loading2.gif" width="64" height="64"> <span style="font-size:20px;vertical-align:middle;padding-bottom:50px;">正在链接到云南高校图书馆文献保障联盟下载...</span> </p> </div> <script id="bdshare_js" data="type=tools&uid=0" type="text/javascript"></script> <script type="text/javascript"> $(function () { var rd = GetQueryString("rd"); 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