西北师范大学学报(自然科学版)2017,Vol.53Issue(6):22-26,41,6.DOI:10.16783/j.cnki.nwnuz.2017.06.005
(d,n)-余挠模与(d,n)-平坦模
(d,n)-cotorsion modules and (d,n)-flat modules
摘要
Abstract
Let R be any rings,(d,n)-cotorsion modules and (d,n)-flat modules are defined,and their properties are investigated.It is proved that (fd,n,ld,n) is complete hereditary cotorsion theory,where fd,n (ld,n) denotes the class of all (d,n)-flat ((d,n)-cotorsion) right R-modules.The equivalent descriptions of these modules under excellent extensions of rings are given.关键词
(d,n)-余挠模/(d,n)-平坦模/余挠理论/优越扩张Key words
(d,n)-cotorsion module/(d,n)-flat module/cotorsion theory/excellent extension分类
数理科学引用本文复制引用
武斌,杨晓燕..(d,n)-余挠模与(d,n)-平坦模[J].西北师范大学学报(自然科学版),2017,53(6):22-26,41,6.基金项目
国家自然科学基金资助项目(11761060) (11761060)
兰州资环学院自然科学基金资助项目(Z2015-11) (Z2015-11)