ON SOME PROPERTIES OF THE SUBGROUP SUBDIRECT SUM OF DIVISIBLE RATIONAL GROUPS

Trukhmanov Vyacheslav Borisovich
Arzamas branch of the Lobachevsky State University of Nizhni Novgorod
candidate of physico-mathematical sciences, associate professor

Abstract
The article deals with one of the subclasses of the class of Abelian torsion-free groups of rank 2, namely, Abelian groups that are subdirect sum of two divisible rational groups, which gen-erates a group or a group of rational numbers, or its quotient group of some subgroup.

Keywords: Abelian torsion-free group, divisible group, rational group, subdirect sum of Abelian groups


Category: 01.00.00 Physics and mathematics

Article reference:
On some properties of the subgroup subdirect sum of divisible rational groups // Modern scientific researches and innovations. 2016. № 2 [Electronic journal]. URL: https://web.snauka.ru/en/issues/2016/02/64302

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