摘要
利用半正则余平坦模刻画强Prüfer环,即证明环R是强Prüfer环当且仅当R的任意理想都是半正则平坦模,当且仅当半正则平坦模的任意子模都是半正则平坦模,当且仅当任意[KG*8]R-模都有满的半正则平坦包.
We characterized strong Prüfer rings by using semi-regular flat modules.Namely,we proved that a ring R was strong Prüfer if and only if any ideal of R was semi-regular flat module,if and only if any submodule of a semi-regular flat module was semi-regular flat module,if and only if any R-module had an epimorphic semi-regular flat envelope.
作者
张晓磊
戴国成
肖雪莲
齐薇
ZHANG Xiaolei;DAI Guocheng;XIAO Xuelian;QI Wei(School of Mathematics and Statistics,Shandong University of Technology,Zibo 255049,Shandong Province,China;School of Mathematical Sciences,Sichuan Normal University,Chengdu 610066,China;School of Mathematics,Aba Teachers University,Wenchuan 623002,Sichuan Province,China)
出处
《吉林大学学报（理学版）》
CAS
北大核心
2022年第6期1308-1316,共9页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:11901412,12061001,12201361).
