关于环的Q-clean性及Q-clean corner的讨论  

Discussions on the Q-cleanness of rings and Q-clean corner

作　　者：孙晓青[1] 肖燕婷[1] 崔冉冉[2] SUN Xiao-qing;XIAO Yan-ting;CUI ran-ran(School of Science,Xi'an University of Technology,Xi'an 710054,Shaanxi,China;College of Science,Henan University of Technology,Zhengzhou 450001,Henan,China)

机构地区：[1]西安理工大学理学院,陕西西安710054 [2]河南工业大学理学院,河南郑州450001

出　　处：《山东大学学报（理学版）》2020年第2期79-83,共5页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11601419);河南省自然科学基金研究项目(162300410066).

摘　　要：利用拟逆元,定义了Q-clean环和Q-clean corner,研究了环的Q-clean性及Q-clean corner,得到了abelian Q-clean的等价条件,此外一些结论对应到Clean环上也是成立的。The concepts of Q-clean rings and Q-clean corners are defined by quasi-inverse elements.The Q-cleanness and Q-clean corners of rings are introduced,and some equivalent conditions of abelian Q-clean correspond are given.Moreover,some conclusions can correspond to Clean rings.

关 键 词：拟逆元 CLEAN环 CORNER 

分 类 号：O153.3[理学—数学]