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具有逆断面的密群的构造
引用本文:孟祥芹,朱凤林,刘国新.具有逆断面的密群的构造[J].中国科学技术大学学报,2006,36(10):1089-1095.
作者姓名:孟祥芹  朱凤林  刘国新
作者单位:1. 中国科学技术大学数学系,安徽合肥,230026;河海大学理学院,江苏南京,210098
2. 上海电力学院数理系,上海,200090
3. 西南大学数学系,重庆,400715
摘    要:给出了具有逆断面的密群的两个构造.一是通过具有半格断面的带和Clifford半群给出,另一个是通过具有半格断面的带和完全单半群之间的一族同态给出.

关 键 词:密群  逆断面    Clifford半群
文章编号:0253-2778(2006)10-1089-07
收稿时间:11 9 2005 12:00AM
修稿时间:05 10 2006 12:00AM

Constructions of cryptogroups with inverse transversals
MENG Xiang-qin,ZHU Feng-lin,LIU Guo-xin.Constructions of cryptogroups with inverse transversals[J].Journal of University of Science and Technology of China,2006,36(10):1089-1095.
Authors:MENG Xiang-qin  ZHU Feng-lin  LIU Guo-xin
Institution:1. Department of Mathematics, University of Science and Technology of China, Hefei 230026, China ; 2. College of Science, HoHai University, Nanjing 210098, China ; 3. Department of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 200090, China ; 4. Department of Mathematics, Southwest University, Chongqing 400715, China
Abstract:Two constructions of cryptogroups with inverse transversals were given. One was given by bands with semilattice transversals and Clifford semigroups. The other was given by bands with semilattice transversals and a family of homomorphisms between completely simple semigroups.
Keywords:cryptogroup  inverse transversal  band  Clifford semigroup
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