On the Jacobson radical of algebraic extensions of regular algebras

DOI10.1080/00927878208822770zbMath0482.16006OpenAlexW2130583137MaRDI QIDQ3939947

Pere Menal

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1080/00927878208822770

zbMATH Keywords

nilpotent elementsJacobson radicaltensor productprimitive factor ringsvon Neumann regular ringsemiprimitive ringminimal idempotentmaximal right quotient ringcriteria for semiprimitivity

Mathematics Subject Classification ID

Conditions on elements (16U99) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Radicals and radical properties of associative rings (16Nxx)

Related Items (2)

On epimorphism-final rings ⋮ Associative rings

Cites Work

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• Rings which have flat injective modules
• On tensor products of algebras being von neumann regular or self-injective

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