Normalizing extensions: Nilpotency

DOI10.1016/0021-8693(82)90224-1zbMath0482.16021OpenAlexW2065039137MaRDI QIDQ1162573

A. G. Heinicke, J. Chris Robson

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90224-1

zbMATH Keywords

annihilatorinvariant basis numberprime radicalminimal prime idealsnilpotent idealfinite normalizing extension of ringsright torsion- free rings

Mathematics Subject Classification ID

Centralizing and normalizing extensions (16S20) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (6)

Centred bimodules over prime rings: Closed submodules and applications to ring extensions ⋮ Reduced rank and normalizing elements ⋮ CLOSED SUBMODULES OF NORMALIZING BIMODULES OVER SEMIPRIME RINGS ⋮ Intermediate subrings of normalizing extensions: is there an ‘incomparability theorem’? ⋮ Extensions normalisantes et condition de goldie ⋮ Intermediate Normalizing Extensions

Cites Work

• Finite normalizing extensions of rings
• Normalizing extensions: Prime ideals and incomparability
• Prime ideals in normalizing extensions
• Unnamed Item

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