On modules and rings in which complements are isomorphic to direct summands

DOI10.1080/00927872.2021.1979026zbMath1500.16024OpenAlexW3208703262MaRDI QIDQ5037597

Özgür Taşdemir, F. Karabacak, Truong Cong Quynh, Muhammet Tamer Koşan

Publication date: 1 March 2022

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

Full work available at URL: https://doi.org/10.1080/00927872.2021.1979026

zbMATH Keywords

virtually semisimple moduleco-Hopfian modulesquare-free modulevirtually C2 modulevirtually extending module

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Quasi-Frobenius rings (16L60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (1)

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Cites Work

• Cyclic modules whose quotients have all complement submodules direct summands
• On the Schröder-Bernstein property for modules
• Several generalizations of the Wedderburn-Artin theorem with applications
• Distributive semigroup rings and related topics
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• Modules which are isomorphic to submodules of each other
• A generalization of quasi-Frobenius rings
• Automorphism-invariant modules
• Rings with finite essential socle
• Modules Whose Lattice of Submodules is Distributive
• Modules Et Anneaux Quasi-Continus
• Virtually semisimple modules and a generalization of the Wedderburn-Artin theorem
• MODULES WHICH ARE INVARIANT UNDER AUTOMORPHISMS OF THEIR INJECTIVE HULLS
• Generalizations of CS-modules
• On Continuous Rings and Self Injective Rings
• On Continuous Regular Rings
• Modules whose injective endomorphisms are essential
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