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 …

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 …

This review paper is concerned with modules in which all automorphisms (endomorphisms)
of submodules can be extended to endomorphisms of the entire module. We consider old …

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

Let A be a left and right Artinian ring with an yl-bimodule Q such that both aQ and QA are
finitely generated, soc (Q¿)= top (AÄ) and soc (^ Q)= top (Such a bimodule Q is called a QF …

Let R be a ring and M a fixed R-module. An R-module Q is called M-injective if, given a
monomorphism C $ of an R-module N into M, every homomorphism: N-+ Q can be extended …

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 …

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

In this paper we prove that a module M is invariant under automorphisms of its X-envelope if
and only if M is invariant under monomorphisms of its X-envelope where X is an enveloping …

A right R-module N is called pseudo M-injective if for any submodule A of M, every
monomorphism from A to N, can be extended to a homomorphism from M to N. Module M is …