Neat submodules by relative height

DOI10.1080/00927878908823849zbMath0683.16023OpenAlexW2039327921MaRDI QIDQ4732582

Blass Torrecillas Jover

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1080/00927878908823849

zbMATH Keywords

heightclosed submoduleshereditary torsion theory\(\sigma\)-composition length\(\sigma\)- finitely generated submodule\(\sigma\)-torsionfree modulesdirect sum of strongly \(\sigma\)-uniserial modules

Mathematics Subject Classification ID

Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Other classes of modules and ideals in associative algebras (16D80)

Related Items (2)

Neat submodules over integral domains ⋮ A general form of kulikov’s theorem

Cites Work

• Modules semicocritical with respect to a torsion theory and their applications
• Elements of noncommutative arithmetic. I
• Pure submodules of modules over bounded (hnp)-rings
• Torsion-free covers
• On kulikov’s theorem
• Modules Behaving Like Torsion Abelian Groups
• Intersections Finies de Sous-Groupes Nets

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