Modules which are invariant under idempotents of their envelopes

DOI10.4064/cm6496-1-2016zbMath1357.16009OpenAlexW2551750736MaRDI QIDQ2804265

Phan Dan, Truong Cong Quynh, Le Van Thuyet

Publication date: 28 April 2016

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm6496-1-2016

zbMATH Keywords

idempotentsenvelopesextending-invariant module

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50)

Related Items

Modules coinvariant under the idempotent endomorphisms of their covers ⋮ T-idempotent invariant modules ⋮ Modules which are invariant under t-automorphisms of their injective hulls ⋮ t-Nilpotent invariant modules ⋮ Modules that are invariant with respect to automorphisms and idempotent endomorphisms of their hulls and covers ⋮ Modules close to the automorphism-invariant and coinvariant ⋮ Modules which are invariant under nilpotents of their envelopes and covers ⋮ On rings with envelopes and covers regarding to C3, D3 and flat modules

Cites Work

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• Rings and modules which are stable under automorphisms of their injective hulls.
• On a theorem of W. Zimmermann
• Decomposing modules into direct sums of submodules with types
• Modules invariant under automorphisms of their covers and envelopes.
• Algebras for which every indecomposable right module is invariant in its injective envelope
• Quasi-Injective Modules and Irreducible Rings
• π-injective modules and rings whose cyclics are π-injective
• MODULES WHICH ARE INVARIANT UNDER AUTOMORPHISMS OF THEIR INJECTIVE HULLS
• Indecomposable flat cotorsion modules