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Rings whose elements are sums of three or differences of two commuting idempotents

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Publication:1734174
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DOI10.1007/s41980-018-0113-yzbMath1407.16035OpenAlexW2815852301WikidataQ129562799 ScholiaQ129562799MaRDI QIDQ1734174

Peter V. Danchev

Publication date: 22 March 2019

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-018-0113-y

zbMATH Keywords

unitsidempotentsBoolean ringsJacobson radicalnilpotents


Mathematics Subject Classification ID

Conditions on elements (16U99) Jacobson radical, quasimultiplication (16N20) Units, groups of units (associative rings and algebras) (16U60)


Related Items

Unnamed Item, Rings whose elements are linear combinations of three commuting idempotents, On the idempotent and nilpotent sum numbers of matrices over certain indecomposable rings and related concepts, Unnamed Item



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Unnamed Item
  • Nil-clean and strongly nil-clean rings.
  • Commutative weakly nil clean unital rings.
  • Rings in which Every Element is a Sum of Two Tripotents
  • Rings with unipotent units
  • Rings in which every element is the sum of two idempotents
  • Matrices over a commutative ring as sums of three idempotents or three involutions
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