Combinatorial extensions of radical, nil, and locally nilpotent algebras

DOI10.1016/0021-8693(85)90082-1zbMath0572.16003OpenAlexW2033628719MaRDI QIDQ1062118

Hans-Christian Mez

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90082-1

zbMATH Keywords

Jacobson radicalresidually nilpotentpolynomial identitylocally nilpotentlocally nilpotent idealsm-nilpotentnil K-algebraradical K-algebra

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) Modules, bimodules and ideals in associative algebras (16Dxx) Radicals and radical properties of associative rings (16Nxx)

Cites Work

• Forcing, arithmetic, division rings
• Embeddings into simple associative algebras
• Corrections to: 'Free ideal rings'
• An example of a simple radical ring
• The ideal structure of existentially closed algebras
• ON ELEMENTARY PROPERTIES OF EXISTENTIALLY CLOSED SYSTEMS
• On nil-algebras and finitely approximable 𝑝-groups
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