• Title/Summary/Keyword: nil-clean ring of nilpotency index at most 2

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NIL-CLEAN RINGS OF NILPOTENCY INDEX AT MOST TWO WITH APPLICATION TO INVOLUTION-CLEAN RINGS

  • Li, Yu;Quan, Xiaoshan;Xia, Guoli
    • Communications of the Korean Mathematical Society
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    • v.33 no.3
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    • pp.751-757
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    • 2018
  • A ring is nil-clean if every element is a sum of a nilpotent and an idempotent, and a ring is involution-clean if every element is a sum of an involution and an idempotent. In this paper, a description of nil-clean rings of nilpotency index at most 2 is obtained, and is applied to improve a known result on involution-clean rings.