Automorphism-invariant modules.

DOI10.4171/RSMUP/133-12zbMath1333.16006OpenAlexW1535283616MaRDI QIDQ5919806

Alberto Facchini, Nguyen Khanh Tung, Adel N. Alahmadi

Publication date: 28 July 2015

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rsmup/133-12

zbMATH Keywords

Boolean ringsvon Neumann regular ringsinjective envelopesquasi-injective modulesautomorphism-invariant modulesAbelian rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Injective modules, self-injective associative rings (16D50) Automorphisms and endomorphisms (16W20) Generalizations of commutativity (associative rings and algebras) (16U80)

Related Items (17)

Modules which are coinvariant under automorphisms of their projective covers. ⋮ Pseudo pure-injective objects ⋮ On the Schröder-Bernstein property for modules ⋮ Additive unit structure of endomorphism rings and invariance of modules ⋮ Rings all of whose finitely generated ideals are automorphism-invariant ⋮ Rings whose every right ideal is a finite direct sum of automorphism-invariant right ideals ⋮ Rings with each right ideal automorphism-invariant. ⋮ The Schröder-Bernstein problem for modules ⋮ On (weakly) co-Hopfian automorphism-invariant modules ⋮ When automorphism-coinvariant modules are quasi-projective ⋮ When is every module with essential socle a direct sum of automorphism-invariant modules? ⋮ T-idempotent invariant modules ⋮ Modules which are invariant under t-automorphisms of their injective hulls ⋮ t-Nilpotent invariant modules ⋮ Extending and lifting of endomorphisms and automorphisms of modules over non-primitive HNP rings ⋮ Weakly automorphism invariant modules and essential tightness ⋮ On infinite MacWilliams rings and minimal injectivity conditions

Cites Work

• Unnamed Item
• Rings and modules which are stable under automorphisms of their injective hulls.
• Local morphisms and modules with a semilocal endomorphism ring.
• Automorphism-invariant modules satisfy the exchange property.
• Modules which are isomorphic to submodules of each other
• On the Ring of Quotients of a Boolean Ring
• RIGHT SELF-INJECTIVE RINGS IN WHICH EVERY ELEMENT IS A SUM OF TWO UNITS
• 2-GOOD RINGS
• Lifting Idempotents and Exchange Rings
• A NOTE ON PSEUDO-INJECTIVE MODULES
• Additive Unit Representations in Endomorphism Rings and an Extension of a result of Dickson and Fuller
• On semilocal rings

This page was built for publication: Automorphism-invariant modules.