When does length equal dimension?

DOI10.1080/00927878608823399zbMath0603.16024OpenAlexW2012323984MaRDI QIDQ3739308

William G. Lau

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1080/00927878608823399

zbMATH Keywords

semiprime ringsKrull dimensioncomposition seriesuniform dimension\(\tau \)-semicocritical modulescocritical factorsincreasing finite sequence of torsion theoriesT-composition series

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Other classes of modules and ideals in associative algebras (16D80) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Cites Work

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• On the endomorphism ring of a module Noetherian with respect to a torsion theory
• Modules semicocritical with respect to a torsion theory and their applications
• The descending chain condition relative to a torsion theory
• Elements of noncommutative arithmetic. I
• Semiprime rings with finite length w.r.t. an idempotent kernel functor
• Descending chains of submodules and the Krull-dimension of noetherian modules
• Modules TTK-critiques et notions connexes
• Krull dimension and torsion radicals
• Injective modules with both ascending and descending chain conditions on annihilators
• Rings and modules of quotients

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