Strongly radical supplemented modules.

DOI10.1007/s11253-012-0579-3zbMath1257.16002OpenAlexW2093473447MaRDI QIDQ1759977

Xianqiang Yang

Publication date: 23 November 2012

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11147/4788

zbMATH Keywords

finitely generated left modulesleft semiperfect ringslocal Dedekind domainssrs-modulesstrongly radical supplemented modules

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) Noncommutative local and semilocal rings, perfect rings (16L30) General module theory in associative algebras (16D10) Torsion modules and ideals in commutative rings (13C12)

Related Items (6)

Generalizations of Rad-supplemented modules ⋮ \(g\)-supplemented modules ⋮ Generalizations of \(\oplus\)-supplemented modules. ⋮ \(T\)-radical and strongly \(T\)-radical supplemented modules ⋮ A generalization of semiperfect modules ⋮ A note on generalizations of semisimple modules

Cites Work

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• Komplementierte Moduln über Dedekindringen
• MODULES WHOSE MAXIMAL SUBMODULES HAVE SUPPLEMENTS
• Rings whose modules are weakly supplemented are perfect. Applications to certain ring extensions
• Moduln, die in jeder Erweiterung ein Komplement haben.

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