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 …

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

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 …

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 …

Characteristic submodules of injective modules over strongly prime rings Page 1 DOI
10.1515/dma-2014-0022 Discrete Math. Appl. 2014; 24 (4):253–256 Askar A. Tuganbaev …

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 …

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 …

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 …

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 …

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 …