| 半格序完全正则周期半群 |
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| 引用本文： | 邵勇. 半格序完全正则周期半群[J]. 山东大学学报(理学版), 2018, 53(10): 1-5. DOI: 10.6040/j.issn.1671-9352.0.2017.506 |
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| 作者姓名： | 邵勇 |
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| 作者单位： | 西北大学数学学院, 陕西 西安 710127 |
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| 基金项目： | 国家自然科学基金资助项目(11571278) |
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| 摘 要： | 通过研究半格序完全正则周期半群,证明了半格序完全正则周期半群的乘法导出一定是正则纯正密码群。运用偏序关系,给出了半格序完全正则周期半群是半格序正则带和分配格的等价刻画。
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| 关 键 词： | 半格序完全正则周期半群 幂等元 分配格 偏序关系 |
| 收稿时间： | 2017-09-25 |
Semilattice-ordered completely regular periodic semigroups |
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| SHAO Yong. Semilattice-ordered completely regular periodic semigroups[J]. Journal of Shandong University, 2018, 53(10): 1-5. DOI: 10.6040/j.issn.1671-9352.0.2017.506 |
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| Authors: | SHAO Yong |
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| Affiliation: | School of Mathematics, Northwest University, Xian 710127, Shaanxi, China |
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| Abstract: | It is proved that the multiplicative reducts of semilattice-ordered completely regular periodic semigroups are regular orthocryptogroups through the research of semilattice-ordered completely regular periodic semigroups. Semilattice-ordered completely regular periodic semigroups are equivalent characterizations of semilattice-ordered regular band and distributive lattices are obtained by using partial orders. |
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| Keywords: | idempotent element distributive lattice semilattice-ordered completely regular periodic semigroup partial order |
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