OnH-supplemented modules over a right perfect ring

DOI10.1080/00927872.2017.1372451zbMath1440.16002OpenAlexW2751885316MaRDI QIDQ4567842

Isao Kikumasa, Yosuke Kuratomi

Publication date: 20 June 2018

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

Full work available at URL: https://doi.org/10.1080/00927872.2017.1372451

zbMATH Keywords

exchange propertyperfect ring\(H\)-supplemented moduleradical projectivedirect projective

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)

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On dual of square free modules ⋮ Lifting modules with finite internal exchange property and direct sums of hollow modules ⋮ Unnamed Item ⋮ Factor square full modules ⋮ Decompositions of dual automorphism invariant modules over semiperfect rings

Cites Work

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• Classes of modules with the exchange property
• Semiperfect modules and quasi-semiperfect modules
• Supplement submodules and a generalization of projective modules.
• Refinements for infinite direct decompositions of algebraic systems
• On quasi projectives
• Exchange rings and decompositions of modules
• On Direct ProjectiveH-Supplemented Modules
• On H-Supplemented Modules
• D4-Modules
• Lifting Modules Over Right Perfect Rings
• A Krull-Schmidt Theorem for Infinite Sums of Modules
• H-supplemented Modules and Generalizations of Quasi-discrete Modules
• DIRECT SUMS OF H-SUPPLEMENTED MODULES
• Quasi-projective and quasi-injective modules