Transfinite powers of the jacobson radical

DOI10.1080/00927877908822330zbMath0405.16008OpenAlexW1981411720MaRDI QIDQ4190772

Günter Krause, Thomas H. Lenagan

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1080/00927877908822330

zbMATH Keywords

Intersection of the Powers of the Jacobson RadicalLeft Noetherian RingNakayama's LemmaRing with Krull DimensionTransfinite Powers of the Jacobson Radical

Mathematics Subject Classification ID

Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40) Radicals and radical properties of associative rings (16Nxx)

Related Items (7)

Ziegler spectra of serial rings with krull dimension ⋮ A one-sided admissible ideal radical which is almost subidempotent ⋮ A remark on the intersection of powers of the Jacobson radical. ⋮ Uniform modules over serial rings ⋮ Krull dimension in serial rings ⋮ Almost subidempotent radicals and a generalization of a theorem of Jacobson ⋮ THE LENGTH OF NOETHERIAN MODULES

Cites Work

• A theory of length for Noetherian modules
• The intersection of the powers of the radical in Noetherian P. I. rings
• Descending chains of submodules and the Krull-dimension of noetherian modules
• A counter-example in ring theory and homological algebra
• A COUNTEREXAMPLE IN NOETHERIAN RINGS
• The Nil Radical of a Ring with Krull Dimension

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