具有右正则中间幂等元的r-宽大半群

doi:10.6040/j.issn.1671-9352.0.2023.158

《山东大学学报(理学版)》 ›› 2024, Vol. 59 ›› Issue (10): 115-121.doi: 10.6040/j.issn.1671-9352.0.2023.158

• • 上一篇

具有右正则中间幂等元的r-宽大半群

刘洋,宫春梅^*

西安建筑科技大学理学院, 陕西西安 710055

发布日期:2024-10-10
通讯作者: 宫春梅(1981— ),女,教授,博士,研究方向为半群代数理论. E-mail:meigongchu@163.com
基金资助:
国家自然科学基金资助项目(12001418)

r-wide semigroups with right regular medial idempotents

LIU Yang, GONG Chunmei^*

School of Science, Xian University of Architecture and Technology, Xian 710055, Shaanxi, China

Published:2024-10-10

摘要/Abstract

摘要： 定义r-宽大半群上的右正则中间幂等元,并研究这类幂等元的性质特征,进而给出了具有右正则中间幂等元的r-宽大半群的结构。

关键词: r-宽大半群, 左正则带, 右正则中间幂等元

Abstract: The concepts of right regular medial idempotents over the r-wide semigroups is defined. The property characteristics of such idempotents are studied. A construction of r-wide semigroups with a right regular medial idempotents is established.

Key words: r-wide semigroup, left regular band, right regular medial idempotent

中图分类号:

O152.7

刘洋,宫春梅. 具有右正则中间幂等元的r-宽大半群[J]. 《山东大学学报(理学版)》, 2024, 59(10): 115-121.

LIU Yang, GONG Chunmei. r-wide semigroups with right regular medial idempotents[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2024, 59(10): 115-121.

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具有右正则中间幂等元的r-宽大半群

r-wide semigroups with right regular medial idempotents

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