具有可乘逆断面的正则半群的λ-半直积

doi:10.6040/j.issn.1671-9352.0.2017.570

山东大学学报（理学版） ›› 2018, Vol. 53 ›› Issue (4): 20-23.doi: 10.6040/j.issn.1671-9352.0.2017.570

具有可乘逆断面的正则半群的λ-半直积

王守峰^1,2

1.云南师范大学数学学院, 云南昆明 650500;2.山东大学数学学院, 山东济南 250100

收稿日期:2017-10-31 出版日期:2018-04-20 发布日期:2018-04-13
作者简介:王守峰(1979— ),男,博士,副教授, 研究方向为半群和组合半群. E-mail: wsf1004@163.com
基金资助:
国家自然科学基金资助项目(11661082)

λ-Semidirect products of regular semigroups with a multiplicative inverse transversal

WANG Shou-feng^1,2

1. School of Mathematics, Yunnan Normal University, Kunming 650500, Yunnan, China;
2. School of Mathematics, Shandong University, Jinan 250100, Shandong, China

Received:2017-10-31 Online:2018-04-20 Published:2018-04-13

摘要/Abstract

摘要： 引入了具有可乘逆断面的正则半群上的λ-半直积的概念, 证明了两个具有可乘逆断面的正则半群的λ-半直积仍为具有可乘逆断面的正则半群,推广了逆半群的相关结论。

关键词: 可乘逆断面, 正则半群, λ-半直积

Abstract: λ-Semidirect products of regular semigroups with a multiplicative inverse transversal are introduced. It is proved that the λ-semidirect of two regular semigroups with a multiplicative inverse transversal is always a regular semigroup with a multiplicative inverse transversal, which generalizes the related results of inverse semigroups.

Key words: regular semigroup, multiplicative inverse transversal, λ-semidirect

中图分类号:

O152.7

王守峰. 具有可乘逆断面的正则半群的λ-半直积[J]. 山东大学学报（理学版）, 2018, 53(4): 20-23.

WANG Shou-feng. λ-Semidirect products of regular semigroups with a multiplicative inverse transversal[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(4): 20-23.

参考文献

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具有可乘逆断面的正则半群的λ-半直积

λ-Semidirect products of regular semigroups with a multiplicative inverse transversal

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