Normalising elements and radicals, I.

DOI10.1017/S0004972700028008zbMath0657.16008MaRDI QIDQ3804851

E. A. Whelan

Publication date: 1989

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Jacobson radicalNoetherian ringschain conditionstwo-sided idealArtinian radicalfinite normalizing sequence

Mathematics Subject Classification ID

Generalizations of commutativity (associative rings and algebras) (16U80) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40) Centralizing and normalizing extensions (16S20) Modules, bimodules and ideals in associative algebras (16Dxx) Radicals and radical properties of associative rings (16Nxx)

Related Items (1)

Direct sum decompositions of conformal rings

Cites Work

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• Finite subnormalizing extensions of rings
• Reduced rank and normalizing elements
• Normalizing extensions: Prime ideals and incomparability
• Ideaux premiers de l'algèbre enveloppante d'une algèbre de Lie nilpotente
• Idealizers and hereditary Noetherian prime rings
• Commutative rings with restricted minimum condition
• Non-Commutative Unique Factorisation Rings
• QUASI-COMMUTATIVE PRINCIPAL IDEAL RINGS
• Shorter Notes: Artinian Ideals in Noetherian Rings
• Principal Ideal Rings and Separability
• Localisation in Enveloping Rings
• Elementary Divisors and Modules

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