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On extensions of bounded subgroups in Abelian groups

S. S. Gabriyelyan (2014)

Commentationes Mathematicae Universitatis Carolinae

It is well-known that every bounded Abelian group is a direct sum of finite cyclic subgroups. We characterize those non-trivial bounded subgroups $H$ of an infinite Abelian group $G$ , for which there is an infinite subgroup $G_{0}$ of $G$ containing $H$ such that $G_{0}$ has a special decomposition into a direct sum which takes into account the properties of $G$ , and which induces a natural decomposition of $H$ into a direct sum of finite subgroups.

On Fuchs' problem 76.

Birge Zimmermann-Huisgen (1979)

Journal für die reine und angewandte Mathematik

On p-Local Abelian Groups with Decomposititon Bases.

Mark Lane (1989)

Mathematische Zeitschrift

On the Cayley-Hamilton property in abelian groups.

Militello, Robert R. (1992)

International Journal of Mathematics and Mathematical Sciences

Displaying 1 – 4 of 4

On extensions of bounded subgroups in Abelian groups

On Fuchs' problem 76.

On p-Local Abelian Groups with Decomposititon Bases.

On the Cayley-Hamilton property in abelian groups.

Currently displaying 1 – 4 of 4