In this paper, we study rings having the property that every finitely generated right ideal is
automorphism-invariant. Such rings are called right f a-rings. It is shown that a right f a-ring …

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 …

Rings in which each finitely generated right ideal is automorphism-invariant (right fa-rings)
are shown to be isomorphic to a formal matrix ring. Among other results it is also shown that …

In this paper, we study rings having the property that every right ideal is automorphism-
invariant. Such rings are called right a-rings. It is shown that (1) a right a-ring is a direct sum …

The notion of a nilpotent-invariant module was introduced and thoroughly investigated in
Koşan and Quynh (Comm. Algebra 45, 2775–2782) as a proper extension of an …

It is shown that if R is a right automorphism-invariant ring and satisfies ACC on right
annihilators, then R is a semiprimary ring. By this useful fact, we study finiteness conditions …

We consider rings whose one-sided ideals are close to automorphism-invariant modules.
We study rings in which every (finitely generated) right ideal is automorphism invariant and …

The notion of a U-module was introduced and thoroughly investigated in as a strict and
simultaneous generalization of quasi-continuous, square-free and automorphism-invariant …

Recall that an R-module M is pure-semisimple if every module in the category σ [M] is a
direct sum of finitely generated (and indecomposable) modules. A theorem from …

Necessary and sufficient conditions on a ring R are found under which all surjective
endomorphisms of finitely generated right R-modules are automorphisms. Namely, this …