Morphic-幂等环  

Morphic-idempotent rings

作　　者：甘海美 郭勇华 GAN Haimei;GUO Yonghua(College of Mathematics and Statistics,Guangxi Normal University,541006,Guilin,Guangxi,PRC)

机构地区：[1]广西师范大学数学与统计学院,广西壮族自治区桂林市541006

出　　处：《曲阜师范大学学报（自然科学版）》2024年第4期59-63,共5页Journal of Qufu Normal University(Natural Science)

摘　　要：首先给出了morphic-幂等环的定义,并证明了环的直积是左morphic-幂等的当且仅当它的每个分量都是左morphic-幂等的.其次,给出了形式三角矩阵环是左morphic-幂等环的一个必要条件.最后,研究了左morphic-幂等环的平凡扩张.In this paper,the definition of morphic-idempotent ring is given,and it is proved that the direct product of rings is left morphic-idempotent if and only if each factor is left morphic-idempotent.Then,a necessary condition for the formal triangular matrix ring to be a left morphic-idempotent ring is given.Finally,the trivial extension of left morphic-idempotent ring is studied.

关 键 词：左morphic-幂等环 形式三角矩阵环 平凡扩张 

分 类 号：O153.3[理学—数学]