华东师范大学学报（自然科学版） >

2023 , Vol. 2023 >Issue 2: 12 - 16

DOI: https://doi.org/10.3969/j.issn.1000-5641.2023.02.003

数学

强Gorenstein弱平坦模

  • 宋彦辉 ,
  • 郭婷
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  • 兰州信息科技学院, 兰州　730300
宋彦辉, 男, 讲师, 研究方向为同调代数. E-mail: 20191110117@lzxk.edu.cn

收稿日期: 2021-04-02

  网络出版日期: 2023-03-23

基金资助

甘肃省高校教师创新基金项目(2023B-387)

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Strongly Gorenstein weak flat modules

  • Yanhui SONG ,
  • Ting GUO
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  • Lanzhou College of Information Science and Technology, Lanzhou　730300, China

Received date: 2021-04-02

  Online published: 2023-03-23

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摘要

引入强Gorenstein弱平坦模, 给出了强Gorenstein弱平坦模的一些同调刻画. 证明了Gorenstein弱平坦模是强Gorenstein弱平坦模的直和项.

关键词： 超有限表现模; 弱平坦模; 强Gorenstein弱平坦模; 直和项

本文引用格式

宋彦辉 , 郭婷 . 强Gorenstein弱平坦模[J]. 华东师范大学学报（自然科学版）, 2023 , 2023(2) : 12 -16 . DOI: 10.3969/j.issn.1000-5641.2023.02.003

Abstract

In this paper, we introduce the notion of strongly Gorenstein weak flat modules, and we subsequently provide homological characterizations of strongly Gorenstein weak flat modules. It is shown that a Gorenstein weak flat module is a summand of a strongly Gorenstein weak flat module.

Key words： super finitely presented module; weak flat module; strongly Gorenstein weak flat module; summand

参考文献

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