Modules that are invariant with respect to automorphisms and idempotent endomorphisms of their hulls and covers
From MaRDI portal
Publication:2036474
DOI10.1007/s10958-021-05427-xzbMath1492.16044OpenAlexW3173221657MaRDI QIDQ2036474
A. N. Abyzov, Truong Cong Quynh, Askar A. Tuganbaev
Publication date: 29 June 2021
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10958-021-05427-x
coverquasi-injective modulequasi-projective modulehullautomorphism-coinvariant moduleautomorphism-invariant moduleautomorphism-liftable module
Endomorphism rings; matrix rings (16S50) Free, projective, and flat modules and ideals in associative algebras (16D40) Automorphisms and endomorphisms (16W20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Modules which are coinvariant under automorphisms of their projective covers.
- Automorphism-extendable modules.
- Rings and modules which are stable under automorphisms of their injective hulls.
- Relative homological algebra. Vol. 2
- Continuous modules are clean.
- Rings with each right ideal automorphism-invariant.
- Products of idempotents in regular rings. II
- Poorly injective modules
- Module theory. Endomorphism rings and direct sum decompositions in some classes of modules
- Additive unit structure of endomorphism rings and invariance of modules
- The Schröder-Bernstein problem for modules
- Dual automorphism-invariant modules over perfect rings
- Dual automorphism-invariant modules.
- Modules coinvariant under the idempotent endomorphisms of their covers
- Automorphism-extendable and endomorphism-extendable modules
- Modules invariant under automorphisms of their covers and envelopes.
- Automorphism-invariant modules satisfy the exchange property.
- Algebras for which every indecomposable right module is invariant in its injective envelope
- On direct modules
- Characteristic submodules of injective modules over strongly prime rings.
- Modules which are invariant under idempotents of their envelopes
- Extensions of Rings and Modules
- Automorphisms of submodules and their extensions
- Automorphism-invariant modules
- Automorphism-invariant semi-Artinian modules
- Rings over which all modules are completely integrally closed
- Quasi-Injective Modules and Irreducible Rings
- Small-injective rings
- INTEGRALLY CLOSED RINGS
- Modules Et Anneaux Quasi-Continus
- Quasi-Injective and Pseudo-Infective Modules
- Lifting Idempotents and Exchange Rings
- π-injective modules and rings whose cyclics are π-injective
- A NOTE ON PSEUDO-INJECTIVE MODULES
- MODULES WHICH ARE INVARIANT UNDER AUTOMORPHISMS OF THEIR INJECTIVE HULLS
- On automorphism-invariant modules
- Modules over strongly prime rings
- Rings of Invariant Module Type and Automorphism-Invariant Modules
- Characteristic submodules of injective modules
- Lifting Modules Over Right Perfect Rings
- Modules which are invariant under monomorphisms of their injective hulls
- The structure of modules over hereditary rings