Modules which are invariant under t-automorphisms of their injective hulls
S Ebrahimi Atani, S Dolati Pish Hesari… - Communications in …, 2018 - Taylor & Francis
Let R be an arbitrary ring with identity and M, a right R-module with Z 2 (M) the second
singular submodule of M. We call an endomrphism φ of M, a t-automorphism if φ ̄: M∕ Z 2 …
singular submodule of M. We call an endomrphism φ of M, a t-automorphism if φ ̄: M∕ Z 2 …
On automorphism-invariant modules
Let M and N be two modules. M is called automorphism N-invariant if for any essential
submodule A of N, any essential monomorphism f: A→ M can be extended to some g∈ Hom …
submodule A of N, any essential monomorphism f: A→ M can be extended to some g∈ Hom …
Dual automorphism-invariant modules
S Singh, AK Srivastava - Journal of Algebra, 2012 - Elsevier
A module M is called an automorphism-invariant module if every isomorphism between two
essential submodules of M extends to an automorphism of M. This paper introduces the …
essential submodules of M extends to an automorphism of M. This paper introduces the …
Modules which are invariant under automorphisms of their injective hulls
A module is defined to be an automorphism-invariant module if it is invariant under
automorphisms of its injective hull. Quasi-injective modules and, more generally, pseudo …
automorphisms of its injective hull. Quasi-injective modules and, more generally, pseudo …
On (weakly) co-Hopfian automorphism-invariant modules
A module M over a ring R is called automorphism-invariant if M is invariant under
automorphisms of its injective hull E (M) and M is called co-Hopfian if each injective …
automorphisms of its injective hull E (M) and M is called co-Hopfian if each injective …
Nilpotent-invariant modules and rings
Automorphism-invariant modules, due to Lee and Zhou, generalize the notion of quasi-
injective modules. A module which is invariant under automorphisms of its injective hull is …
injective modules. A module which is invariant under automorphisms of its injective hull is …
[HTML][HTML] Modules which are coinvariant under automorphisms of their projective covers
PAG Asensio, DK Tütüncü, B Kalebogaz… - Journal of Algebra, 2016 - Elsevier
In this paper we study modules coinvariant under automorphisms of their projective covers.
We first provide an alternative, and in fact, a more succinct and conceptual proof for the …
We first provide an alternative, and in fact, a more succinct and conceptual proof for the …
[PDF][PDF] ON ENDOMORPHISM RINGS OF AUTOMORPHISM-INVARIANT MODULES.
DT Trang - … de Rolando Eötvös Nominatae. Sectio Computatorica, 2022 - ac.inf.elte.hu
In this paper, we give some results of endomorphism rings of automorphism-invariant
modules. It shows that if M is an automorphisminvariant self-generator module with finite …
modules. It shows that if M is an automorphisminvariant self-generator module with finite …
Decompositions of dual automorphism invariant modules over semiperfect rings
Y Kuratomi - Siberian Mathematical Journal, 2019 - Springer
A module M is called dual automorphism invariant if whenever X 1 and X 2 are small
submodules of M, then each epimorphism f: M/X 1→ M/X 2 lifts to an endomorphism g of M …
submodules of M, then each epimorphism f: M/X 1→ M/X 2 lifts to an endomorphism g of M …
[PDF][PDF] Automorphism-invariant modules
A module M is called automorphism-invariant if it is invariant under automorphisms of its
injective envelope. In this paper, we study the endomorphism rings of automorphism …
injective envelope. In this paper, we study the endomorphism rings of automorphism …