Morita环上的强Gorenstein投射模

doi:10.6040/j.issn.1671-9352.0.2023.476

《山东大学学报(理学版)》 ›› 2025, Vol. 60 ›› Issue (11): 95-100.doi: 10.6040/j.issn.1671-9352.0.2023.476

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Morita环上的强Gorenstein投射模

夏旭,陈文静^*

西北师范大学数学与统计学院, 甘肃兰州 730070

发布日期:2025-11-11
通讯作者: 陈文静(1989— ),女,副教授,博士,研究方向为环的同调理论. E-mail:chenwj@nwnu.edu.cn
作者简介:夏旭(1999— ),女,硕士研究生,研究方向为环的同调理论. E-mail:xiax77@163.com
基金资助:
国家自然科学基金资助项目(11901463,12361007);甘肃省青年科技基金计划项目(20JR5RA517)

Strongly Gorenstein projective modules over Morita rings

XIA Xu, CHEN Wenjing^*

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

Published:2025-11-11

摘要/Abstract

摘要： 设Λ_ψ=(A NM B)_(0,ψ)是有一个双模同态为零的Morita环,其中A,B都是诺特环,N是A-B-双模,M是B-A-双模,且ψ:N_BM→A是A-A-双模同态,给出了Λ_ψ-模是强Gorenstein投射模的充分条件。

关键词: Morita环, 强Gorenstein投射模, 强完全投射分解, 弱可相容模

Abstract: Let Λ_ψ=(A NM B)₍0,ψ) be a Morita ring with one bimodule homomorphism zero, where A and B are noetherian rings, N is an A-B-bimodule, M is a B-A-bimodule, and ψ:N_BM→A is a homomorphism of A-A-bimodules. We give the sufficient condition that a Λ_ψ-module is a strongly Gorenstein projective module.

Key words: Morita ring, strongly Gorenstein projective module, strongly complete projective resolution, weakly compatible module

中图分类号:

O153.3

夏旭,陈文静. Morita环上的强Gorenstein投射模[J]. 《山东大学学报(理学版)》, 2025, 60(11): 95-100.

XIA Xu, CHEN Wenjing. Strongly Gorenstein projective modules over Morita rings[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2025, 60(11): 95-100.

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Morita环上的强Gorenstein投射模

Strongly Gorenstein projective modules over Morita rings

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