Reduced rank and normalizing elements

DOI10.1016/0021-8693(88)90169-XzbMath0644.16022MaRDI QIDQ1102356

E. A. Whelan

Publication date: 1988

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

zbMATH Keywords

ring of quotientssemiprime idealOre setbimodule reduced rankBPC ringsdescending chain condition on prime idealsdirect sum of simple ringsInvertible Ideal Theoremnormalizing set of generators

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Localization and associative Noetherian rings (16P50) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (3)

Normalising elements and radicals, I. ⋮ An infinite construction in ring theory ⋮ Direct sum decompositions of conformal rings

Cites Work

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• Finite subnormalizing extensions of rings
• Reduced rank in Noetherian rings
• Normalizing extensions: Prime ideals and incomparability
• Normalizing extensions: Nilpotency
• Principal ideal theorem for Noetherian P.I.rings
• Non-Commutative Unique Factorisation Rings
• QUASI-COMMUTATIVE PRINCIPAL IDEAL RINGS
• An infinite construction in ring theory
• Relative krull dimension and prime ideals in right noetherian rings
• Localization and the AR Property
• On Additive Ideal Theory in General Rings

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