| 完全正则子半群格是半模格的完全正则半群 |
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| 引用本文： | 田振际,胡运华,陶禹桦.完全正则子半群格是半模格的完全正则半群[J].兰州理工大学学报,2020,46(2):155. |
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| 作者姓名： | 田振际 胡运华 陶禹桦 |
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| 作者单位： | 兰州理工大学 理学院, 甘肃 兰州 730050 |
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| 基金项目： | 国家自然科学基金(11261030) |
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| 摘 要： | 得到了完全正则半群S的子系统格是半模格的充分必要条件,即S的子系统格是半模格当且仅当S是一些UM-群或者极大子群为UM-群的左群或右群的序和.
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| 关 键 词： | 完全正则半群 完全正则子半群格 半模格 |
| 收稿时间： | 2018-03-01 |
Completely regular semigroups whose lattice of completely regular subsemigroups is semimodular |
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| TIAN Zhen-ji,HU Yun-hua,TAO Yu-hua.Completely regular semigroups whose lattice of completely regular subsemigroups is semimodular[J].Journal of Lanzhou University of Technology,2020,46(2):155. |
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| Authors: | TIAN Zhen-ji HU Yun-hua TAO Yu-hua |
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| Institution: | School of Science, Lanzhou Univ. of Tech. , Lanzhou 730050, China |
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| Abstract: | Otain the necessary and sufficient condition that the subsystem lattice of a completely regular semigroup S is a semimodular lattice, that is, the subsystem lattice of S is a semimodular lattice if and only if S is the order sum of some UM-groups or left right] groups whose maximal subgroups are UM-groups. |
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| Keywords: | completely regular semigroups completely regular subsemigroups lattice semimodular lattice |
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