JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (2): 84-90.doi: 10.6040/j.issn.1671-9352.0.2018.711

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On JGR-clean rings

XU Ying-ying, YIN Xiao-bin*   

  1. School of Mathematics and Statistics, Anhui Normal University, Wuhu 241003, Anhui, China
  • Published:2020-02-14

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Abstract: The concepts of(strongly)JGR-clean rings are introduced. It is proved that JGR-clean rings are the real generalization of J-clean rings. Basic properties and extension properties of such rings are investigated. Moreover, the relationships between(strongly)JGR-clean rings and some special rings are discussed.

Key words: J-clean rings, π-regular rings, strongly π-regular rings, JGR-clean rings, strongly JGR-clean rings

CLC Number: 

  • O153.3
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[1] GAO Han-peng, YIN Xiao-bin. On strongly g(x)-J-clean rings [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(2): 24-29.
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