We use the type theory for rings of operators due to Kaplansky to describe the structure of
modules that are invariant under automorphisms of their injective envelopes. Also, we …

In this paper we study the Schröder–Bernstein problem for modules. We obtain a positive
solution for the Schröder–Bernstein problem for modules invariant under endomorphisms of …

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 …

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 …

" 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 …

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 …

We provide a complete answer to the problem of characterizing left Artinian rings which
satisfy the (left or right) MacWilliams extension theorem for linear codes, generalizing results …

The well known Schröder–Bernstein Theorem states that any two sets with one to one maps
into each other are isomorphic. The question of whether any two (subisomorphic or) direct …

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 …

PSEUDO PURE-INJECTIVE OBJECTS 1. Introduction Recently, the famous Schröder-Bernstein
problem in set theory has been solved for Page 1 Commun.Fac.Sci.Univ.Ank.Ser. A1 Math …