Rafail AlizadeSurajo Ibrahim IsahAlizade, RafailIsah, Surajo Ibrahim2025-10-0620170219-49881793-682910.1142/S02194988175004872-s2.0-84962241894http://dx.doi.org/10.1142/S0219498817500487https://gcris.yasar.edu.tr/handle/123456789/6198https://doi.org/10.1142/S0219498817500487In this paper we describe completely the K-singular subgroup of an abelian group and a K-nonsingular abelian group in terms of the basic subgroups of its p-components and the quotient group by the torsion part. We also prove that a pure subgroup and a quotient group by a pure subgroup of a K- nonsingular abelian group are K-nonsingular and give a condition under which a pure extension of a K-nonsingular abelian group by a K-nonsingular group is K-nonsingular.Englishinfo:eu-repo/semantics/closedAccessK-singular subgroup, K-nonsingular abelian group, pure subgroup, basic subgroupMODULES-Nonsingular Abelian GroupPure SubgroupK-Nonsingular Abelian GroupK-Singular Subgroup-Singular SubgroupBasic SubgroupArticle