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半群O_（n,r）的秩
  • 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]贵州财经大学数学与统计学院,贵州贵阳550025, [2]贵州师范大学数学与计算机科学学院,贵州贵阳550001
  • 相关基金：国家自然科学基金项目（11171243）
作者： 腾文, 游泰杰[2], 张宇
关键词： 保序变换半群, 正则性, 秩, order-preserving transformation semigroup , regularity , rank
中文摘要：

设X n为n元全序集,O n为X n上的保序全变换半群.引入了一类新的O n的子半群O n,r,描述了半群O n,r的最大正则子半群结构特征.进一步地,通过对其最大正则子半群的分析,刻画了半群O n,r的生成秩.所得结果推广了有关文献中相应的结论.

英文摘要：

Let Xn be the totally ordered set of n element and On be the order-preserving transformation semigroup of Xn, a new class subsemigroups On, of semigroup 0n was introduced. The structure characteristic of the largest regular subsemigroup of semigroup On. was characterized. Moreover, the generated rank of semigroup On, was characterized by analyzing the largest regular subsemigroup. The obtained results developed the corresponding conclusions of other rele- vant literatures.

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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