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| 关于含乘积纯正断面的正则半群 | |
| 引用本文： | 郭晓永,陈克林,王建宏. 关于含乘积纯正断面的正则半群[J]. 昆明理工大学学报(自然科学版), 2010, 35(2): 117-120. DOI: 10.3969/j.issn.1007-855x.2010.02.025 |
| 作者姓名： | 郭晓永 陈克林 王建宏 |
| 作者单位： | 1. 临沧师范高等专科学校,数理系,云南,临沧,677000 2. 云南民族大学,数学与计算机科学学院,云南,昆明,650031 3. 南京航空航天大学,自动化学院,江苏,南京,210016 |
| 基金项目： | 国家自然科学基金资助项目(项目编号:60874037) |
| 摘 要： | 介绍了乘积纯正断面的概念和性质,给出乘积纯正断面的等价条件,并给出含有乘积纯正断面的正则半群的结构定理. |
| 关 键 词： | 正则半群 纯正断面 拟理想 |
On Regular Semigroups with Multiplicative Orthodox Transversals |
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| GUO Xiao-yong,CHEN Ke-lin,WANG Jian-hong. On Regular Semigroups with Multiplicative Orthodox Transversals[J]. Journal of Kunming University of Science and Technology(Natural Science Edition), 2010, 35(2): 117-120. DOI: 10.3969/j.issn.1007-855x.2010.02.025 | |
| Authors: | GUO Xiao-yong CHEN Ke-lin WANG Jian-hong |
| Affiliation: | 1.Department of Mathematics and Science/a>;Lincang Teachers'College/a>;Lincang/a>;Yunnan 677000/a>;China/a>;2.School of Mathematics and Computer Science/a>;Yunnan University of Nationalities/a>;Kunming 650031/a>;3.College of Automation Engineering/a>;Nanjing University of Aeronautics and Astronautic/a>;Nanjing 210016/a>;China |
| Abstract: | In this paper,the concept and the properties of multiplicative orthodox transversals are introduced.Two equivalent conditions are then offered.Finally,a structure theorem for regular semigroups with multiplicative orthodox transversals is put forward. |
| Keywords: | regular semigroup orthodox transversal quasi-ideal |
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