Some Remarks on Locally Almost Perfect Domains
Received:December 04, 2021  Revised:May 07, 2022
Key Words: locally almost perfect domain   almost projective module   almost strongly flat module   strongly Matlis cotorsion module  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.12061001).
Author NameAffiliation
Xiaolei ZHANG School of Mathematics and Statistics, Shandong University of Technology, Shandong 255000, P. R. China 
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Abstract:
      An integral domain $R$ is called a locally almost perfect domain provided that $R_{\frak m}$ is an almost perfect domain for any maximal ideal ${\frak m}$ of $R$. In this paper, we give several characterizations of locally almost perfect domains in terms of locally perfect rings, almost projective modules, weak-injective modules, almost strongly flat modules and strongly Matlis cotorsion modules.
Citation:
DOI:10.3770/j.issn:2095-2651.2023.01.005
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