A sum of two locally nilpotent rings may be not nil

DOI10.1007/BF01202307zbMath0784.16011OpenAlexW2048544178MaRDI QIDQ689790

Andrei V. Kelarev

Publication date: 15 November 1993

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01202307

zbMATH Keywords

Jacobson radicallocally nilpotent subrings

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)

Related Items (15)

Fractal nil graded Lie superalgebras ⋮ Fractal just infinite nil Lie superalgebra of finite width ⋮ Generalized polynomial identities and rings which are sums of two subrings ⋮ On radicals of rings which are sums of two subrings ⋮ Nil properties for rings which are sums of their additive subgroups ⋮ On rings which are sums of subrings and additive subgroups ⋮ A primitive ring which is a sum of two Wedderburn radical subrings ⋮ Self-similar associative algebras. ⋮ Rings that are sums of two locally nilpotent subrings, II ⋮ Fractal nil graded Lie, associative, Poisson, and Jordan superalgebras ⋮ Nil graded self-similar algebras ⋮ Rings that are sums of two locally nilpotent subrings ⋮ Rings which are sums of finite fields ⋮ Rings which are sums of two subrings ⋮ Sums of simple subalgebras

Cites Work

• Unnamed Item
• Zur Nilpotenz gewisser assoziativer Ringe
• On rings which are sums of two subrings
• Radicals of semigroup rings of commutative semigroups

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