The Torsion Submodule of A Cyclic Module Splits Off

DOI10.4153/CJM-1972-038-8zbMath0231.16010OpenAlexW2320544968MaRDI QIDQ5638461

Mark L. Teply

Publication date: 1972

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-1972-038-8

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) Other classes of modules and ideals in associative algebras (16D80)

Related Items (4)

When does the rational torsion split off for finitely generated modules. ⋮ The splitting problem for coalgebras: a direct approach. ⋮ Rings with restricted injective condition ⋮ Semiartinian profinite algebras have nilpotent Jacobson radical.

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