吉林大学学报（理学版）2018，Vol.56Issue(3)：556-560,5.DOI:10.13413/j.cnki.jdxblxb.2018.03.14
WGP-内射环及其应用
WGP-Injective Rings and Their Applications
摘要
Abstract
We considered some properties of maximal annihilators of WGP-injective rings ,and proved that :if a left WGP-injective ring R satisfied that the ascending chain l(a1 )? l(a1 a2 )? l(a1 a2 a3 )? …consisting left annihilator were stable for arbitrary infinite element a1 ,a2 ,a3 ,… , then R was a semiprimary ring ;R was a left and right perfect ring ;and R was a left and right Kasch ring .Some sufficient and necessary conditions of WGP-injective rings were given .关键词
GP-内射环/WGP-内射环/极小内射环/半单环Key words
GP-injective ring/WGP-injective ring/mininjective ring/semisimple ring分类
数理科学引用本文复制引用
鲁琦,鲍宏伟..WGP-内射环及其应用[J].吉林大学学报（理学版）,2018,56(3):556-560,5.基金项目
国家自然科学基金(批准号:11271016)、安徽省高校自然科学基金(批准号:KJ2017A569)和蚌埠学院自然科学研究重点项目(批准号:2017ZR08zd). （批准号:11271016）
