WGP-内射环及其应用  

WGP-Injective Rings and Their Applications

作　　者：鲁琦[1] 鲍宏伟[1] LU Qi;BAO Hongwei(School of Science, Bengbu University , Bengbu 233030, Anhui Province , Chin)

机构地区：[1]蚌埠学院理学院,安徽蚌埠233030

出　　处：《吉林大学学报（理学版）》2018年第3期556-560,共5页Journal of Jilin University:Science Edition

基　　金：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);蚌埠学院自然科学研究重点项目(批准号:2017ZR08zd)

摘　　要：考虑WGP-内射环的极大零化子的性质,证明了若一个左WGP-内射环R满足对任意无限个元素a_1,a_2,a_3,…,均有左零化子构成的升链l(a_1)■l(a_1a_2)■l(a_1a_2a_3)■…是稳定的,则:R是半准素环;R是左、右完全环;R是左、右Kasch环.并给出WGP-内射环的一些充要条件.We considered some properties of maximal annihilators of WGP-injective rings,and proved that：if a left WGP-injective ring Rsatisfied 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 

分 类 号：O153.3[理学—数学]