A general form of kulikov’s theorem

DOI10.1080/00927879108824272zbMath0729.16018OpenAlexW2011876670MaRDI QIDQ3353203

Ladislav Bican, Blass Torrecillas Jover

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1080/00927879108824272

zbMATH Keywords

heightdirect sumhereditary torsion theoryh-purity\(\sigma \) - uniserial modules\(\sigma \) -cocritical R-modulesKulikov's Theorem

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Cites Work

• Unnamed Item
• Modules semicocritical with respect to a torsion theory and their applications
• Pure submodules of modules over bounded (hnp)-rings
• Modules Behaving Like Torsion Abelian Groups
• Neat submodules by relative height

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