n-Frobenius对

doi:10.6040/j.issn.1671-9352.0.2022.054

《山东大学学报(理学版)》 ›› 2023, Vol. 58 ›› Issue (2): 51-57.doi: 10.6040/j.issn.1671-9352.0.2022.054

• • 上一篇

n-Frobenius对

陈文静,李玲

西北师范大学数学与统计学院, 甘肃兰州 730070

发布日期:2023-02-12
作者简介:陈文静(1989— ),女,博士,副教授,硕士生导师,研究方向为环的同调理论. E-mail:chenwj@nwnu.edu.cn
基金资助:
国家自然科学基金资助项目(11901463);甘肃省青年科技基金计划项目(20JR5RA517);西北师范大学青年教师科研能力提升计划项目(NWNU-LKQN-18-30);甘肃省高等学校创新能力提升项目(2019A-002)

n-Frobenius pairs

CHEN Wen-jing, LI Ling

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China

Published:2023-02-12

摘要/Abstract

摘要： 引入了左(右)n-Frobenius对和特殊的左(右)n-Frobenius对的定义,研究了它们的性质,讨论了左(右)n-Frobenius对和右(左)n-余挠对之间的关系,给出了特殊的左(右)n-Frobenius对的等价刻画。最后给出了特殊的左(右)n-Frobenius对的一些应用,以及左完全的QF环的等价刻画。

关键词: Frobenius对, n-余挠对, n-Frobenius对

Abstract: The definitions of left(right)n-Frobenius pairs and special left(right)n-Frobenius pairs are introduced. Their properties are studied. The relationship between left(right)n-Frobenius pairs and right(left)n-cotorsion pairs is discussed, and some equivalent characterizations of special left(right)n-Frobenius pairs are given. Finally, some applications of special left(right)n-Frobenius pairs and equivalent characterizations of the left perfect QF ring are given.

Key words: Frobenius pair, n-cotorsion pair, n-Frobenius pair

中图分类号:

O153.3

陈文静,李玲. n-Frobenius对[J]. 《山东大学学报(理学版)》, 2023, 58(2): 51-57.

CHEN Wen-jing, LI Ling. n-Frobenius pairs[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2023, 58(2): 51-57.

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