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 …

Automorphism-extendable modules Page 1 Discrete Math. Appl. 2015; 25 (5):305–309 Askar
A. Tuganbaev Automorphism-extendable modules Abstract: We study modules, in which all …

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 …

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 …

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 …

The paper contains both known and new results on automorphism-invariant modules,
automorphism-coinvariant modules and modules which are invariant or coinvariant with …

The aim of this paper is to introduce a general setting where some well-known results on
essentially injective modules, automorphism-(co) invariant modules and small projective …

We study modules M such that all automorphisms of submodules in M can be extended to
endomorphisms (automorphisms) of M. All rings are assumed to be associative and with …

" The study of modules which are invariant under the action of certain subsets of the
endomorphism ring of their injective envelope can be drawn back to the pioneering work of …

Automorphisms of submodules and their extensions Page 1 Discrete Math. Appl., Vol. 23, No.
1, pp. 115–124 (2013) © de Gruyter 2013 DOI 10.1515/dma-2013-006 Automorphisms of …