A module is called automorphism-invariant if it is invariant under any automorphism of its
injective hull. In [Algebras for which every indecomposable right module is invariant in its …

A module is called automorphism-invariant if it is invariant under any automorphism of its
injective hull. Dickson and Fuller have shown that if R is a finite-dimensional algebra over a …

A ring A is a right automorphism-invariant right non-singular ring if and only if A= S× T,
where S a right self-injective regular ring and T is a strongly regular ring which contains all …

It is proved, among other results, that a prime right nonsingular ring (in particular, a simple
ring) R is right self-injective if RR is invariant under automorphisms of its injective hull. This …

Full article: Injective and automorphism-invariant non-singular modules Skip to Main Content Taylor
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An artinian ring is of left invariant module type in case each of its indecomposable left
modules is stable under the endomorphisms of its injective envelope, i; e., is quasi-injective …

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 …

AUTOMORPHISM-INVARIANT MODULES AA Tuganbaev UDC 512.55 Page 1 Journal of
Mathematical Sciences, Vol. 206, No. 6, May, 2015 AUTOMORPHISM-INVARIANT MODULES …

A module is uniserial in case its submodules are linearly ordered by inclusion. A ring R is left
(right) serial if it is a direct sum of uniserial left (right) R-modules. A ring R is serial if it is both …

Let R be a left artinian ring such that every finitely presented right. ft-module is of finite
endolength. It is shown that the cardinality of the set of isomorphism classes of preinjective …