JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (8): 13-19.doi: 10.6040/j.issn.1671-9352.0.2019.436

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(Strongly)J-*-tripotent-clean rings

ZHENG Ji-wen, CHENG Zhi*   

  1. School of Mathematics and Statistics, Anhui Normal University, Wuhu 241003, Anhui, China
  • Published:2020-07-14

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Abstract: The concept of(strongly)J-*-tripotent-clean ring is introduced. An example is given to illustrate that strongly J-*-tripotent-clean ring is a proper subclass of strongly clean ring. Some equivalent definitions of strongly J-*-tripotent-clean ring are given. As an application, some corresponding properties for transformations of rings are also given.

Key words: strongly *-clean rings, (strongly)J-*-tripotent-clean rings, *-tripotent, Abelian rings

CLC Number: 

  • O153.3
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