Lifting of automorphisms of factor modules

AN Abyzov, CQ Truong - Communications in Algebra, 2018 - Taylor & Francis
This paper introduces the notion of dual of automorphism extendable modules. A module M
is called automorphism-extendable if for every submodule N of M, every automorphism of N …

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 …

Automorphism-extendable and endomorphism-extendable modules

AA Tuganbaev - Journal of Mathematical Sciences, 2020 - Springer
This review paper is concerned with modules in which all automorphisms (endomorphisms)
of submodules can be extended to endomorphisms of the entire module. We consider old …

On automorphism-invariant modules

TC Quynh, MT Koşan - Journal of Algebra and Its Applications, 2015 - World Scientific
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 …

When automorphism-coinvariant modules are quasi-projective

DK Tütüncü - Communications in Algebra, 2017 - Taylor & Francis
Full article: When automorphism-coinvariant modules are quasi-projective Skip to Main
Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log in …

[PDF][PDF] Automorphism-invariant semi-Artinian modules

AA Tuganbaev - J. Algebra Appl, 2017 - researchgate.net
Automorphism-Invariant Semi-Artinian Modules AA Tuganbaev1 National Research University
”MPEI” e-mail: tuganbaev@gmail.co Page 1 Automorphism-Invariant Semi-Artinian Modules AA …

On (weakly) co-Hopfian automorphism-invariant modules

TC Quynh, A Abyzov, MT Koşan - Communications in Algebra, 2020 - Taylor & Francis
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 …

A note on dual automorphism invariant modules

C Selvaraj, S Santhakumar - Journal of Algebra and Its Applications, 2017 - World Scientific
In this paper, we investigate some properties of dual automorphism invariant modules over
right perfect rings. Also, we introduce the notion of dual automorphism invariant cover and …

[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 …

Automorphism-invariant modules

AA Tuganbaev - Journal of Mathematical Sciences, 2015 - Springer
AUTOMORPHISM-INVARIANT MODULES AA Tuganbaev UDC 512.55 Page 1 Journal of
Mathematical Sciences, Vol. 206, No. 6, May, 2015 AUTOMORPHISM-INVARIANT MODULES …