Modules Invariant Under Clean Endomorphisms of Their Injective Hulls

DOI10.1007/978-981-19-3898-6_21MaRDI QIDQ6094941

Unnamed Author, Manoj Kumar Patel

Publication date: 15 September 2023

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

zbMATH Keywords

automorphism-invariant modulesidempotent-invariant modulesclean-invariant 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)

Cites Work

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• Rings and modules which are stable under automorphisms of their injective hulls.
• ADS modules.
• Continuous modules are clean.
• The exchange property of quasi-continuous modules with the finite exchange property
• Classes of almost clean rings.
• Automorphism-invariant modules satisfy the exchange property.
• C4-Modules
• Quasi-Injective Modules and Irreducible Rings
• Modules Et Anneaux Quasi-Continus
• Lifting Idempotents and Exchange Rings
• π-injective modules and rings whose cyclics are π-injective
• Exchange rings, units and idempotents
• A NOTE ON PSEUDO-INJECTIVE MODULES
• MODULES WHICH ARE INVARIANT UNDER AUTOMORPHISMS OF THEIR INJECTIVE HULLS
• On automorphism-invariant modules
• On ADS Modules and Rings

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