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 …

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 …

Under study are the dual automorphism-invariant modules and pseudoprojective modules.
Some conditions were found under which the dual automorphism-invariant module over a …

Full article: When automorphism-coinvariant modules are quasi-projective Skip to Main
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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 …

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 …

Rings all of whose right ideals are automorphism-invariant are called right a-rings. In the
present paper, we study rings having the property that every right cyclic module is dual …

A module M is said to be an automorphism liftable module iffor each submodule N of M,
every automorphism of the quotient M= N canbe lifted to an endomorphism of M. In this work …

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 …

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 …