On w_(∞)-Warfield Cotorsion Modules and Krull Domains

作     者：Yongyan Pu Wei Zhao Gaohua Tang Fanggui Wang Xuelian Xiao Yongyan Pu;Wei Zhao;Gaohua Tang;Fanggui Wang;Xuelian Xiao

作者机构：School of MathematicsAba Teachers UniversityWenchuanSichuan 623002China College of SciencesBeibu Gulf UniversityQinzhouGuangxi 535011China 

出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)

年 卷 期：2023年第30卷第4期

页      面：701-712页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：This work was partially supported by the Sichuan Science and Technology Program(2023NSFSC0074) the National Natural Science Foundation of China(11961050,12061001) Aba Teachers University(ASS20230106,20210403005,20220301016) 

主　　题：Krull domainw w_(∞)-Warfield cotorsion module strong w-module w-Matlis cotorsion module 

摘      要：Let R be a commutative domain with 1 and Q(≠R)its field of *** this note an R-module M is called w_(∞)-Warfield cotorsion if M∈WC∩P^(⊥)_(w_(∞)),where WC denotes the class of all Warfield cotorsion R-modules and P_(w_(∞))the class of all w_(∞)-projective *** 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.