一般对称环

doi:10.6040/j.issn.1671-9352.0.2020.233

《山东大学学报(理学版)》 ›› 2020, Vol. 55 ›› Issue (12): 63-68.doi: 10.6040/j.issn.1671-9352.0.2020.233

• • 上一篇

一般对称环

秦兰兰¹,王尧¹,任艳丽^2*

1.南京信息工程大学数学与统计学院, 江苏南京 210044;2.南京晓庄学院信息工程学院, 江苏南京 211171

发布日期:2020-12-01
作者简介:秦兰兰(1994— ), 女, 硕士研究生, 研究方向为环论. E-mail:jsqinlanlan@163.com*通信作者简介:任艳丽(1965— ), 女, 硕士, 教授, 研究方向为环论. E-mail:renyanlisx@163.com
基金资助:
国家自然科学基金资助项目(11571165);江苏省自然科学基金资助项目(BK20181406)

General symmetric rings

QIN Lan-lan¹, WANG Yao¹, REN Yan-li^2*

1. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, Jiangsu, China;
2. School of Information Engineering, Nanjing Xiaozhuang University, Nanjing 211171, Jiangsu, China

Published:2020-12-01

摘要/Abstract

摘要： 在一般环(未必有1)范畴中,左、右对称环的概念是不同的。在一般环范畴中引入一般对称环的概念,给出其刻画,讨论一般对称环与相关环的关系及其环扩张。

关键词: 一般对称环, 右对称环, Baer环, p.p.-环

Abstract: In the general ring(not necessarily with 1)category, the concepts of left and right symmetric rings are different. The concept of general symmetric rings in general ring category is introduced and give its characterization, discuss the relationship between general symmetric rings and related rings as well as their ring extensions.

Key words: general symmetric ring, right symmetric ring, Baer ring, p.p.-ring

中图分类号:

O153.3

秦兰兰,王尧,任艳丽. 一般对称环[J]. 《山东大学学报(理学版)》, 2020, 55(12): 63-68.

QIN Lan-lan, WANG Yao, REN Yan-li. General symmetric rings[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2020, 55(12): 63-68.

参考文献

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一般对称环

General symmetric rings

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