Semiperfect Modules with Respect to a Preradical

DOI10.1080/00927870500441593zbMath1093.16006OpenAlexW1974804987MaRDI QIDQ5201418

Mustafa Alkan, Ayşe Çiğdem Özcan

Publication date: 19 April 2006

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

Full work available at URL: https://doi.org/10.1080/00927870500441593

zbMATH Keywords

semisimple modulesprojective coverspreradicalssemiperfect modulesHarada modulesco-Harada modulesNoetherian QF-modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Quasi-Frobenius rings (16L60) Noncommutative local and semilocal rings, perfect rings (16L30) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Other classes of modules and ideals in associative algebras (16D80)

Related Items (6)

On semiregular endomorphism rings and the dual of Yamagata's theorem ⋮ A generalization of projective covers ⋮ Modules whose partial endomorphisms have a δ-small kernels ⋮ POOR MODULES: THE OPPOSITE OF INJECTIVITY ⋮ A Generalization of Semiregular and Semiperfect Modules ⋮ On δ-semiperfect modules

Cites Work

• Coprime preradicals and modules.
• F-semiperfekte und perfekte Moduln in sigma[M]
• Semiregular, semiperfect and perfect rings relative to an ideal.
• Characterizations of semi-perfect and perfect modules
• Exchange property and the natural preorder between simple modules over semi-Artinian rings
• Semi-perfect modules
• Generalizations of Perfect, Semiperfect, and Semiregular Rings
• Semiregular Modules with Respect to a Fully Invariant Submodule
• On small and cosmall modules
• Characterisations of generalised un i serial rings in terms of factor rings
• Semiregular Modules and Rings
• Harada modules
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