左Clifford双半环的性质与结构

doi:10.6040/j.issn.1671-9352.0.2021.157

《山东大学学报(理学版)》 ›› 2021, Vol. 56 ›› Issue (8): 45-48.doi: 10.6040/j.issn.1671-9352.0.2021.157

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左Clifford双半环的性质与结构

魏孟君,李刚^*

山东师范大学数学与统计学院, 山东济南 250358

发布日期:2021-08-09
作者简介:魏孟君(1997— ),女,硕士研究生,研究方向为半群代数理论. E-mail:2950643247@qq.com*通信作者简介:李刚(1969— ),男,博士,副教授,硕士生导师,研究方向为半群代数理论、语言与自动机理论. E-mail:1318152976@qq.com
基金资助:
国家自然科学基金资助项目(11601288)

The property and structure of left Clifford bi-semirings

WEI Meng-jun, LI Gang^*

School of Mathematics and Statistics, Shandong Normal University, Jinan 250358, Shandong, China

Published:2021-08-09

摘要/Abstract

摘要： 定义了双半环的分配格和带双半环。利用这两个定义以及左Clifford半群的性质,给出了左双环和左Clifford双半环的定义,并得到了双半环是左双环的充分必要条件和双半环是左Clifford双半环的充分必要条件。

关键词: 带双半环, 左双环, 左Clifford双半环, 分配格同余

Abstract: The distributive lattice of bi-semirings and band bi-semirings are defined. Using these two definitions and the properties of the left Clifford semigroup, the definitions of the left bi-ring and the left Clifford bi-semiring are given. The necessary and sufficient conditions for a bi-semiring to be a left bi-ring and a bi-semiring to be a left Clifford bi-semiring are obtained.

Key words: band bi-semiring, left bi-ring, left Clifford bi-semiring, distributive lattice congruence

中图分类号:

O152.7

魏孟君,李刚. 左Clifford双半环的性质与结构[J]. 《山东大学学报(理学版)》, 2021, 56(8): 45-48.

WEI Meng-jun, LI Gang. The property and structure of left Clifford bi-semirings[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2021, 56(8): 45-48.

参考文献

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左Clifford双半环的性质与结构

The property and structure of left Clifford bi-semirings

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