r-宽大半群上几类好同余

doi:10.6040/j.issn.1671-9352.0.2023.142

《山东大学学报(理学版)》 ›› 2024, Vol. 59 ›› Issue (12): 46-53.doi: 10.6040/j.issn.1671-9352.0.2023.142

r-宽大半群上几类好同余

邵蕾,宫春梅^*

西安建筑科技大学理学院, 陕西西安 710055

发布日期:2024-12-12
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:
国家自然科学基金青年科学基金资助项目(12001418)

Several classes of good congruences on r-wide semigroups

SHAO Lei, GONG Chunmei^*

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

Published:2024-12-12

摘要/Abstract

摘要： 借助(*,~)-格林关系刻画r-宽大半群S上的几类好同余。给出r-宽大半群S上几类好同余,如最小(左;右)正则带类-好同余,最小(左;右)正则拟弱适当半群类-好同余等的刻画。

关键词: (*,~)-格林关系, r-宽大半群, 好同余

Abstract: Several classes of good congruences on r-wide semigroups are characterized by(*,~)-Greens relations. It is showed that for r-wide semigroups, such as the least class of(left; right)regular bands-good congruence, the least class of(left; right)regular quasi-weakly adequate semigroups-good congruence and so on.

Key words: (*,~)-Greens relation, r-wide semigroup, good congruence

中图分类号:

O152.7

邵蕾,宫春梅. r-宽大半群上几类好同余[J]. 《山东大学学报(理学版)》, 2024, 59(12): 46-53.

SHAO Lei, GONG Chunmei. Several classes of good congruences on r-wide semigroups[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2024, 59(12): 46-53.

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r-宽大半群上几类好同余

Several classes of good congruences on r-wide semigroups

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