JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (6): 41-46.doi: 10.6040/j.issn.1671-9352.0.2018.343

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Strongly g(x)-nil-clean rings

CHEN Yi-ning, QIN Long   

  1. College of Mathematics and Statistic, Anhui Normal University, Wuhu 241003, Anhui, China
  • Published:2019-06-05

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Abstract: The concepts of strongly g(x)-nil-clean rings are introduced. The relations of several classes of strongly g(x)-clean rings are discussed. Some equivalent characters of such rings and strongly nil-clean rings are given. Moreover, basic properties of such rings are investigated. Properties of several kinds of strongly g(x)-nil-clean rings are studied.

Key words: strongly nil-clean ring, strongly g(x)-nil-clean ring, strongly g(x)-clean ring, strongly clean ring

CLC Number: 

  • O153.3
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