When is every linear transformation a sum of an idempotent one and a locally nilpotent one?

DOI10.1016/J.LAA.2018.01.005zbMath1382.15003OpenAlexW2783779290MaRDI QIDQ1698599

Yiqiang Zhou, Gaohua Tang, Guoli Xia

Publication date: 16 February 2018

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

Full work available at URL: https://doi.org/10.1016/j.laa.2018.01.005

zbMATH Keywords

linear transformationBoolean ringendomorphism ringidempotent endomorphismlocally nilpotent endomorphismnil-clean element

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Linear transformations, semilinear transformations (15A04) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Cites Work

• Nil-clean matrix rings
• Nil clean rings.
• When is every matrix over a division ring a sum of an idempotent and a nilpotent?
• Sums of automorphisms of free modules and completely decomposable groups.

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