Reduced rank and normalizing elements
DOI10.1016/0021-8693(88)90169-XzbMath0644.16022MaRDI QIDQ1102356
Publication date: 1988
Published in: Journal of Algebra (Search for Journal in Brave)
ring of quotientssemiprime idealOre setbimodule reduced rankBPC ringsdescending chain condition on prime idealsdirect sum of simple ringsInvertible Ideal Theoremnormalizing set of generators
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)
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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