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一个变换半群的同余
  • ISSN号：1003-0972
  • 期刊名称：《信阳师范学院学报：自然科学版》
  • 时间：0
  • 分类：O152.7[理学—数学;理学—基础数学]
  • 作者机构：[1]信阳师范学院数学与信息科学学院,河南信阳464000, [2]安阳工业学院理学院,河南安阳454900
  • 相关基金：National Natural Science Foundation of China（10971086）
作者： 裴惠生[1], 卢凤梅
关键词： 半群, α-半群, 变换, 同余, semigroups, α-semigroups, transformations, congruences
中文摘要：

设X是一个集合,｜X｜〉3,TX为集合X上的全变换半群.设E为X上的一个等价关系,TE（X）={f∈TX：（x,y）∈E（f（x）,f（y））∈E}为由等价关系E决定的TX的一个子半群.记T2（X）={f∈TE（X）：｜f（X）｜≤2}∪{id},这里id表示X上的恒等映射,则T2（X）是TE（X）的一个子半群.另外还描述了半群T2（X）上的几个同余.

英文摘要：

Let X be a set with ｜X｜3,TX the full transformation semigroup on X.Let E be an equivalence relation on X and TE（X）={f∈TX：（x,y）∈E（f（x）,f（y））∈E} the subsemigroup of TX determined by E.Denote T2（X）={f∈TE（X）：｜f（X）｜≤2}∪{id},where id denotes the identity map on X.Then T2（X） is a subsemigroup of TE（X）.Among other things,some congruences on the semigroup T2（X） are described.

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期刊信息
  • 《信阳师范学院学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:信阳师范学院
  • 主办单位:信阳师范学院
  • 主编：刘彦明
  • 地址：河南省信阳市南湖路
  • 邮编：464000
  • 邮箱：xblk@xynu.edu.cn
  • 电话：0376-6393516
  • 国际标准刊号：ISSN：1003-0972
  • 国内统一刊号：ISSN：41-1107/N
  • 邮发代号:36-122
  • 获奖情况:
  • 河南省优秀科技期刊,河南省优秀学报
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,英国农业与生物科学研究中心文摘,波兰哥白尼索引,德国数学文摘,美国剑桥科学文摘,英国动物学记录,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:5214