On w∞-Warfield Cotorsion Modules and Krull Domains

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外文摘要：Let R be a commutative domain with 1 and Q(≠R)its field of quotients.In this note an R-module M is called w∞-Warfield cotorsion if M ∈ WC ∩P⊥w∞,where WC de-notes the class of all Warfield cotorsion R-modules and Pw∞ the class of all w∞-projective R-modules.It is shown that R is a PVMD if and only if all w-cotorsion R-modules are w∞-Warfield cotorsion,and that R is a Krull domain if and only if every w-Matlis cotorsion strong w-module over R is a w∞-Warfield cotorsion w-module.

外文关键词：

Krull domainw∞-Warfield cotorsion modulestrong w-modulew-Matlis cotorsion module

作者：

Yongyan Pu、Wei Zhao、Gaohua Tang、Fanggui Wang、Xuelian Xiao

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作者单位：

School of Mathematics,Aba Teachers University Wenchuan,Sichuan 623002,China

College of Sciences,Beibu Gulf University Qinzhou,Guangxi 535011,China

基金：

Sichuan Science and Technology ProgramNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaAba Teachers UniversityAba Teachers UniversityAba Teachers University

项目编号：

2023NSFSC00741196105012061001ASS202301062021040300520220301016

出版年：

2023

DOI：

10.1142/S1005386723000524

代数集刊(英文版)

CSCD

ISSN：1005-3867

年,卷(期)：2023.30(4)

参考文献量21