The lattice of \(P\)-cotorsionless submodules of a module

DOI10.1016/S0021-8693(05)80046-8zbMath0771.16011OpenAlexW2070466405MaRDI QIDQ1194190

Bangteng Xu

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1016/s0021-8693(05)80046-8

zbMATH Keywords

modular latticeslattice of submodules\(M\)-projective modules\(P\)- cotorsionless submodules\(P\)-cocomposition series\(P\)-cotorsion modules\(P\)-neat module

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) 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) Modular lattices, Desarguesian lattices (06C05)

Cites Work

• Composition series relative to a module
• A generalization of composition series
• On Composition series relative to a module
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