Y-Gorenstein 余挠模

何东林, 李煜彦

doi:10.13371/j.cnki.chin.q.j.m.2021.03.007

数学季刊 >

2021 , Vol. 36 >Issue 3: 288 - 295

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2021.03.007

Y-Gorenstein 余挠模

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Department of Mathematics, Longnan Teachers College

HE Dong-lin (1983-), female, native of Baiyin, Gansu, lecturer of Longnan Teachers College, M.S.D., engages in homological algebra; LI Yu-yan (1983-), male, native of Longnan, Gansu, lecturer of Longnan Teachers College, M.S.D., engages in homological algebra.

收稿日期: 2021-03-26

网络出版日期: 2021-05-10

基金资助

Supported by the 2020 Scientific Research Projects in Universities of Gansu Province (Grant No. 2020A-277).

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Y-Gorenstein Cotorsion Modules

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Department of Mathematics, Longnan Teachers College

Received date: 2021-03-26

Online published: 2021-05-10

Supported by

Supported by the 2020 Scientific Research Projects in Universities of Gansu Province (Grant No. 2020A-277).

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摘要

Let R be an associative ring with identity, and Y be a class of right R -modules,
which contains all injective right R -modules. In this paper, we introduce the definition of
Y -Gorenstein cotorsion modules, which is a generalization of cotorsion and Gorenstein
cotorsion modules. We discuss the relationship between Gorenstein cotorsion, weakly
Gorenstein cotorsion and Y -Gorenstein cotorsion modules. We investigate properties and
characterizations of Y-Gorenstein cotorsion modules.

关键词： Y -Gorenstein cotorsion; Y -Gorenstein flat; Strongly Gorenstein flat; Weakly Gorenstein cotorsion; Coherent ring

本文引用格式

何东林, 李煜彦 . Y-Gorenstein 余挠模[J]. 数学季刊, 2021 , 36(3) : 288 -295 . DOI: 10.13371/j.cnki.chin.q.j.m.2021.03.007

Abstract

Key words： Y -Gorenstein cotorsion; Y -Gorenstein flat; Strongly Gorenstein flat; Weakly Gorenstein cotorsion; Coherent ring

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