强Gorenstein弱平坦模

doi:10.3969/j.issn.1000-5641.2023.02.003

华东师范大学学报（自然科学版） ›› 2023, Vol. 2023 ›› Issue (2): 12-16.doi: 10.3969/j.issn.1000-5641.2023.02.003

强Gorenstein弱平坦模

宋彦辉(), 郭婷

兰州信息科技学院, 兰州　730300

收稿日期:2021-04-02 出版日期:2023-03-25 发布日期:2023-03-23
作者简介:宋彦辉, 男, 讲师, 研究方向为同调代数. E-mail: 20191110117@lzxk.edu.cn
基金资助:
甘肃省高校教师创新基金项目(2023B-387)

Strongly Gorenstein weak flat modules

Yanhui SONG(), Ting GUO

Lanzhou College of Information Science and Technology, Lanzhou　730300, China

Received:2021-04-02 Online:2023-03-25 Published:2023-03-23

摘要/Abstract

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

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

中图分类号:

O154.2

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.

Yanhui SONG, Ting GUO. Strongly Gorenstein weak flat modules[J]. Journal of East China Normal University(Natural Science), 2023, 2023(2): 12-16.

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强Gorenstein弱平坦模

Strongly Gorenstein weak flat modules

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