具有逆断面的正则半群上与格林关系有关的同余

冯莹莹; 商宇

doi:10.6054/j.jscnun.2021081

具有逆断面的正则半群上与格林关系有关的同余

冯莹莹^1, ,,
商宇²

1.
佛山科学技术学院数学与大数据学院, 佛山 528000
2.
普洱学院数学与统计学院, 普洱 665000

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

详细信息

通讯作者:
冯莹莹, Email: rickyfungyy@fosu.edu.cn

中图分类号: O152
计量
- 文章访问数: 402
- HTML全文浏览量: 99
- PDF下载量: 54
出版历程
- 收稿日期: 2021-03-02
- 网络出版日期: 2021-11-10
- 刊出日期: 2021-10-24

The Congruences on Regular Semigroups with Inverse Transversals Associated with Green's Relations

FENG Yingying^1, ,,
SHANG Yu²

1.
Department of Mathematics, Foshan University, Foshan 528000, China
2.
School of Mathematics and Statistics, Pu'er University, Pu'er 665000, China

摘要

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.
- 逆断面 /
- 格林关系 /
- 同余
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.
- inverse transversal /
- Green's relations /
- congruence

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图 1 几个子半群之间的关系

Figure 1. Relationship among the subsemigroups

下载: 全尺寸图片幻灯片

参考文献(16)

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