Full article: When automorphism-coinvariant modules are quasi-projective Skip to Main
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Let (F, A) and (G, B) be vector spaces over division rings F and G, and E (F, A) and E (G, B)
the corresponding endomorphism rings. Baer in [2] showed that E (F, A) and E (G, B) are anti …

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

Conditions for the endomorphism ring of a (finitely generated) projective module to be left
(semi) hereditary have been studied in several papers ([2],[7],[8]). In [2] and [8] it is shown …

The paper is a study of modules with a local endomorphism ring. We consider
decompositions of modules and give a simple proof of Azumaya's theorem. We also define …

Introduction. In [7] and [8] we have determined the isomorphisms of the endomorphism rings
of two special classes of torsion-free modules. In [7] the modules were free, over principal …

It is proved that, for a left hereditary ring, an arbitrary left module has a representation in the
form of the direct sum of a stable left module and indecomposable projective left modules (if …

We study modules M such that all automorphisms of submodules in M can be extended to
endomorphisms (automorphisms) of M. All rings are assumed to be associative and with …

We study an R-module M in which every finitely generated submodule of M is a kernel of an
endomorphism of M. Such modules are called Co-epi-finite-retractable (CEFR). We also …