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Lobachevskii Journal of Mathematics

, Volume 40, Issue 1, pp 36–41 | Cite as

Rings Whose Elements Are Linear Combinations of Three Commuting Idempotents

  • P. V. DanchevEmail author
Article
  • 9 Downloads

Abstract

We classify those rings in which all elements are linear combinations over ℤ of at most three commuting idempotents. Our results improve on recent publications by the author in Albanian J. Math. (2018), Gulf J. Math. (2018), Bull. Iran. Math. Soc. (2018) and Boll. Un. Mat. Ital. (2019) as well as on publications due to Hirano–Tominaga in Bull. Austral. Math. Soc. (1988), Ying et al. in Can. Math. Bull. (2016) and Tang et al. in Lin. and Multilin. Algebra (2019).

Keywords and phrases

linear combinations idempotents nilpotents boolean rings fields 

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References

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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Institute of Mathematics and InformaticsBulgarian Academy of SciencesSofiaBulgaria

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