Modules whose torsionfree submodules are direct summands

DOI10.1080/00927878008822543zbMath0439.16020OpenAlexW1986448126MaRDI QIDQ3880977

No author found.

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1080/00927878008822543

zbMATH Keywords

semisimple ringhereditary torsion theorysemisimple modulecodivisible modulestable torsion theorytorsion free submodules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) 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) Infinite-dimensional simple rings (except as in 16Kxx) (16D30) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Representation theory of associative rings and algebras (16Gxx)

Cites Work

• Semi-Simplicity Relative to Kernel Functors
• Codivisible and Projective Covers
• Divisible and Codivisible Modules.
• Codivisible modules

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