| 左Clifford双半环的性质与结构 |
| |
| 引用本文： | 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. |
| |
| 作者姓名： | 魏孟君 李刚 |
| |
| 作者单位： | 山东师范大学数学与统计学院, 山东 济南 250358 |
| |
| 基金项目： | 国家自然科学基金资助项目(11601288) |
| |
| 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 |
The property and structure of left Clifford bi-semirings |
| |
| WEI Meng-jun,LI Gang.The property and structure of left Clifford bi-semirings[J].Journal of Shandong University,2021,56(8):45-48. |
| |
| Authors: | WEI Meng-jun LI Gang |
| |
| Institution: | School of Mathematics and Statistics, Shandong Normal University, Jinan 250358, Shandong, China |
| |
| 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. |
| |
| Keywords: | band bi-semiring left bi-ring left Clifford bi-semiring distributive lattice congruence |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《山东大学学报(理学版)》浏览原始摘要信息 |
| 点击此处可从《山东大学学报(理学版)》下载免费的PDF全文 |
