ABOUT SUBDIRECT SUM OF DIVISIBLE RATIONAL GROUPS AND THEIR INFINITE CYCLIC SUBGROUP

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

Abstract
This article discusses the Abelian groups that are subdirect sum of two divisible rational groups, which generates a group or a group of rational numbers, or its quotient of a subgroup, and sub-groups of such groups, which are subdirect sum of infinite cyclic groups.

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

Category: 01.00.00 Physics and mathematics

Article reference:
About subdirect sum of divisible rational groups and their infinite cyclic subgroup // Modern scientific researches and innovations. 2015. № 5. P. 1 [Electronic journal]. URL: https://web.snauka.ru/en/issues/2015/05/52989

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