无零因子的EP-内射环  

EP-Injective Rings with Non-zero Divisor

作　　者：鲁琦 LU Qi(College of Science,Bengbu University,Bengbu Anhui 233000,China)

机构地区：[1]蚌埠学院理学院

出　　处：《佳木斯大学学报（自然科学版）》2020年第1期152-154,共3页Journal of Jiamusi University：Natural Science Edition

基　　金：安徽省高校自然科学研究重点项目(KJ2017A569);蚌埠学院自然科学研究重点项目(2017ZR08zd)

摘　　要：对EP-内射环作等价刻画,利用无零因子条件,得到若干等价条件,并得出:若R是无零因子环,则R是左EP-内射环当且仅当R的任意主左理想都是EP-内射的。推广了相关结果。Equivalent characterizations of EP-injective rings are researched. Some equivalent conditions are obtained by non-zero-divisor condition. It is proved that if a ring R has non-zero divisor, then R is EP-injective if and only if any principle left ideal of R is EP-injective.A relative result is extended.

关 键 词：EP-内射环 无零因子 除环 

分 类 号：O153.3[理学—数学]