Given modules M and N, M is said to be N-subinjective if for every extension K of N and
every homomorphism φ: N→ M there exists a homomorphism ϕ: K→ M such that ϕ| N= φ …

" 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 …

We study classical Köthe's problem, concerning the structure of non-commutative rings with
the property that:“every left module is a direct sum of cyclic modules". In 1934, Köthe showed …

Köthe's classical problem posed by G. Köthe in 1935 asks to describe the rings R such that
every left R-module is a direct sum of cyclic modules (these rings are known as left Köthe …

Automorphisms of submodules and their extensions Page 1 Discrete Math. Appl., Vol. 23, No.
1, pp. 115–124 (2013) © de Gruyter 2013 DOI 10.1515/dma-2013-006 Automorphisms of …

Characteristic submodules of injective modules Page 1 Discrete Math. Appl., Vol. 23, No. 2, pp.
203–209 (2013) © de Gruyter 2013 DOI 10.1515/dma-2013-014 Characteristic submodules …

(I) M—квазиинъективный модуль. Напомним, что модуль M называется
квазиинъективным, если для любого подмодуля X в M каждый гомоморфизм X! M …

Two criteria for locally noetherian Grothendieck categories - ScienceDirect Skip to main
contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF …

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 …