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Sums of square-zero endomorphisms of a free module.

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Publication:306442
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DOI10.1016/j.laa.2016.06.020zbMath1347.16042OpenAlexW2410677556MaRDI QIDQ306442

Yaroslav N. Shitov

Publication date: 31 August 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2016.06.020


zbMATH Keywords

free modulessquare-zero endomorphisms


Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Automorphisms and endomorphisms (16W20)


Related Items (3)

Sums and products of pairs of quadratic endomorphisms of a countable-dimensional vector space ⋮ Products of Involutions of an Infinite-dimensional Vector Space ⋮ Endomorphisms of free modules as sums of four quadratic endomorphisms



Cites Work

  • Unnamed Item
  • Sums of two square-zero matrices over an arbitrary field
  • Sums of commuting square-zero transformations
  • On sums of three square-zero matrices
  • Sums of small numbers of idempotents
  • A note on sums of three square-zero matrices
  • Sums of three quadratic endomorphisms of an infinite-dimensional vector space
  • Sums of square-zero operators
  • Sums and Products of Square-Zero Matrices
  • Sums of square-zero infinite matrices
  • On sums of projections


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