| 具有逆断面的正则半群上与格林关系有关的同余 |
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| 引用本文： | 冯莹莹,商宇.具有逆断面的正则半群上与格林关系有关的同余[J].华南师范大学学报(自然科学版),2021,53(5):103-107. |
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| 作者姓名： | 冯莹莹 商宇 |
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| 作者单位： | 佛山科学技术学院数学与大数据学院,佛山528000;普洱学院数学与统计学院, 普洱665000 |
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| 基金项目： | 国家自然科学基金项目11901088国家自然科学基金项目11871150 |
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| 摘 要： | 利用商半群中元素的提升性和同态像中格林关系的提升性, 研究由格林关系和格林关系在具有逆断面的正则半群S的重要子半群上的限制所生成的同余, 确定这些同余所对应的半群类.
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| 关 键 词： | 逆断面 格林关系 同余 |
| 收稿时间： | 2021-03-03 |
The Congruences on Regular Semigroups with Inverse Transversals Associated with Green's Relations |
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| Institution: | 1.Department of Mathematics, Foshan University, Foshan 528000, China2.School of Mathematics and Statistics, Pu'er University, Pu'er 665000, China |
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| Abstract: | Let S be a regular semigroup with an inverse transversal. Following the study of the lifting property of ele-ments in the quotient semigroup of S and the lifting property of Green's relations in the homomorphic image of S, congruences on S generated by Green's relations and by restriction of Green's relations to the important subsemi-groups of S are investigated. The classes of semigroups related to these congruences are described. |
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