TY  - SER
AU  - Zonov,M.N.
AU  - Timoshenko,E.A.
TI  - Quotient divisible groups of rank 2
KW  - абелевы группы
KW  - факторно делимые группы
KW  - группы 2-ранга
KW  - статьи в журналах
N1  - Библиогр.: 15 назв; Ограниченный доступ
N2  - In the paper, representations of torsion-free Abelian groups of rank 2 using torsion-free groups of rank 1 are studied. Necessary and sufficient conditions are found under which a group given by such a representation is quotient divisible. A criterion is obtained for two p-minimal quotient divisible torsion-free groups of rank 2 to be isomorphic to each other. An example is constructed showing that two such groups can be embedded in each other but be nonisomorphic. A series of properties of fundamental systems of elements of quotient divisible groups of arbitrary finite rank is established
UR  - http://vital.lib.tsu.ru/vital/access/manager/Repository/koha:000892182
ER  -