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 …

" 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 …

Automorphism-Invariant Semi-Artinian Modules AA Tuganbaev1 National Research University
”MPEI” e-mail: tuganbaev@gmail.co Page 1 Automorphism-Invariant Semi-Artinian Modules AA …

Full article: Injective and automorphism-invariant non-singular modules Skip to Main Content Taylor
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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 …

This book offers a comprehensive account of not necessarily commutative arithmetical rings,
examining structural and homological properties of modules over arithmetical rings and …

A ring is called a right $ a $-ring if every right ideal is automorphism invariant. We describe
some properties of $ a $-rings over semiperfect rings. It is shown that an I-finite right $ a …

One of the important classes of modules is the class of multiplication modules over a
commutative ring. This topic has been considered by many authors and numerous results …

This paper is a review of results on endomorphism-extendable modules, automorphism-
extendable modules,-injective modules, endomorphism-liftable modules, and automorphism …

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 …