JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (2): 79-83.doi: 10.6040/j.issn.1671-9352.0.2018.633

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

SUN Xiao-qing1, XIAO Yan-ting1, CUI ran-ran 2   

  1. 1. School of Science, Xian University of Technology, Xian 710054, Shaanxi, China;
    2. College of Science, Henan University of Technology, Zhengzhou 450001, Henan, China
  • Published:2020-02-14

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Abstract: 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.

Key words: quasi-invertible element, clean ring, corner

CLC Number: 

  • O153.3
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