关于FR-环  

On FR-Rings

作　　者：张培雨[1] 吴俊[1] 丁婷婷[1] 

机构地区：[1]安徽师范大学数学与计算机科学学院,安徽芜湖241000

出　　处：《安徽师范大学学报（自然科学版）》2013年第4期322-325,共4页Journal of Anhui Normal University(Natural Science)

摘　　要：文章引进FR-环的概念,证明了FR-环的同态像、直积、矩阵环、形式幂级数等都是FR-环,并给出了FR-环与UR-环的关系.In this paper, the notion of FR-rings is introduced.. It proved that the class of FR-rings is closed under taking homomorphic image, direct product, matrix extension and power series extension. The relationship between the classes of FR-rings and UR-rings is also investigated.

关 键 词：FR-环 正则元 满元素 左quasi-duo环 

分 类 号：O153.3[理学—数学]