Nil clean rings.

DOI10.1016/j.jalgebra.2013.02.020zbMath1296.16016OpenAlexW2085383400MaRDI QIDQ2445024

Alexander J. Diesl

Publication date: 11 April 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2013.02.020

zbMATH Keywords

unitsdirect sumsnilpotent elementsJacobson radicalFitting lemmastrongly clean elementscommuting idempotentsstrongly nil clean elementsstrongly nil clean rings

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Generalizations of commutativity (associative rings and algebras) (16U80) Units, groups of units (associative rings and algebras) (16U60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

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Cites Work

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• SOME STRONGLY NIL CLEAN MATRICES OVER LOCAL RINGS
• n-Clean Rings and Weakly Unit Stable Range Rings