UQ-环和强UJII-环  

ON UQ-RINGS AND STRONG UJII-RINGS

作　　者：崔建 沙玲玉 CUI Jian;SHA Ling-yu(School of Mathematics and Statistics,Anhui Normal University,Wuhu 241002,China)

机构地区：[1]安徽师范大学数学与统计学院,安徽芜湖241002

出　　处：《数学杂志》2022年第5期402-409,共8页Journal of Mathematics

基　　金：Supported by Anhui Provincial Natural Science Foundation(2008085MA06);the Key Project of Anhui Education Committee(gxyqZD2019009)。

摘　　要：本文引入了UQ-环和UJII-环的概念,推广了UJ-环.利用环论中元素的技巧,研究了UQ-环和UJII-环的性质和结构,相关结果丰富了环中关于元素分解的理论.In this paper,we introduce the notions of UQ-rings and strong UJII-rings which generalize the concept of UJ-rings.We provide many properties and structures of these two classes of rings by using theoretical skills in rings.The conclusions enrich the theory that is related to elements decomposition.

关 键 词：UJ-环 UQ-环 强UJII-环 CLEAN环 

分 类 号：O153.3[理学—数学]