On the ideal and radical embedding of algebras. II. Nilpotent radicals

DOI10.1016/0021-8693(79)90109-1zbMath0419.16014OpenAlexW2092505519MaRDI QIDQ1132156

Francis J. Flanigan

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-8693(79)90109-1

zbMATH Keywords

multiplier algebraextreme ideal embeddingextreme radical embeddingsfinite dimensional nilpotent associative algebraideal embedding problemsradical embedding problemseparable Wedderburn factors

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) 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) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Centralizing and normalizing extensions (16S20) Radicals and radical properties of associative rings (16Nxx)

Related Items (2)

On the ideal and radical embedding of algebras. I. Extreme embeddings ⋮ A little Wedderburn principal theorem

Cites Work

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• On the ideal and radical embedding of algebras. I. Extreme embeddings
• A little Wedderburn principal theorem
• The imbedding of a ring as an ideal in another ring
• Multipliers of Pedersen’s ideal
• Radical behavior and the Wedderburn family

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