吉林大学学报(理学版)2026,Vol.64Issue(1):62-68,7.DOI:10.13413/j.cnki.jdxblxb.2025101
(v,w,y)-Gorenstein平坦模
(v,w,y)-Gorenstein Flat Modules
摘要
Abstract
Let R be an associative ring with identity,v and w be classes of left R-modules,and y be classes of right R-modules.Firstly,we define(v,w,y)-Gorenstein flat modules,and give an equivalent characterization of(v,w,y)-Gorenstein flat modules.Secondly,we prove that this class is closed with respect to direct sums,direct summands and kernels of epimorphisms under certain conditions.关键词
(v,w,y)-Gorenstein平坦模/右w-分解/直和项Key words
(v,w,y)-Gorenstein flat module/right w-decomposition/direct summand分类
数理科学引用本文复制引用
吴永珍,刘铃,陈文静..(v,w,y)-Gorenstein平坦模[J].吉林大学学报(理学版),2026,64(1):62-68,7.基金项目
国家自然科学基金(批准号:11901463 ()
12361007)和甘肃省青年科技基金计划项目(批准号:20JR5RA517). (批准号:20JR5RA517)