关于 Strongly Semipotent 环的一个注记

蒙燕媚, 郭勇华

doi:10.13371/j.cnki.chin.q.j.m.2025.02.007

数学季刊 >

2025 , Vol. 40 >Issue 2: 203 - 210

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2025.02.007

关于 Strongly Semipotent 环的一个注记

展开

1. School of Mathematics and Statistics, Guangxi Normal University, Guilin 541006, China; 2. The Center for Applied Mathematics of Guangxi, Guangxi Normal University, Guilin 541006, China

MENG Yan-mei (1999-), female, native of Chongzuo, Guangxi, master of Guangxi Normal University, engages in rings and algebra; GUO Yong-hua (1976-), male, native of Liling, Hunan, doctor, associate professor of Guangxi Normal University, engages in rings and algebra.

收稿日期: 2024-05-27

网络出版日期: 2025-06-30

收起

A Note on Strongly Semipotent Rings

Expand

1. School of Mathematics and Statistics, Guangxi Normal University, Guilin 541006, China; 2. The Center for Applied Mathematics of Guangxi, Guangxi Normal University, Guilin 541006, China

GUO Yong-hua (1976-), male, native of Liling, Hunan, doctor, associate professor of Guangxi Normal University, engages in rings and algebra.

Received date: 2024-05-27

Online published: 2025-06-30

Fold

摘要

This note is to investigate the properties of strongly semipotent rings. It is proved that every strongly semipotent ring is a idempotent unit regular ring, i.e., there exist a non-zero idempotent e and a unit u such that er =eu for all r /∈J(R), where J(R) is the Jacobson radical of ring R.

关键词： Strongly semipotent ring; Idempotent unit regular ring; Strongly regular element

本文引用格式

蒙燕媚, 郭勇华 . 关于 Strongly Semipotent 环的一个注记[J]. 数学季刊, 2025 , 40(2) : 203 -210 . DOI: 10.13371/j.cnki.chin.q.j.m.2025.02.007

Abstract

Key words： Strongly semipotent ring; Idempotent unit regular ring; Strongly regular ; element

Options

文章导航

模态框（Modal）标题

摘要

本文引用格式

Abstract