Some Remarks on Locally Almost Perfect Domains  

作　　者：Xiaolei ZHANG 

机构地区：[1]School of Mathematics and Statistics,Shandong University of Technology,Shandong 255000,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2023年第1期40-48,共9页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.12061001).

摘　　要：An integral domain R is called a locally almost perfect domain provided that Rm is an almost perfect domain for any maximal ideal 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.

关 键 词：locally almost perfect domain almost projective module almost strongly flat module strongly Matlis cotorsion module 

分 类 号：O15[理学—数学]