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