I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2007, VOLUME 13, NUMBER 2, PAGES 123-131
On definability of a periodic
-group by its endomorphism group
E. M. Kolenova
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be a class of Abelian groups, , and
be the additive endomorphism group of the
The group is said to be defined by
its endomorphism group in the class if for every group such
the isomorphism holds.
The paper considers the problem of definability of a periodic
Abelian group such that .
The classes of periodical Abelian groups, of divisible Abelian groups,
of reduced Abelian groups, of nonreduced Abelian groups, and of all
Abelian groups are investigated in this paper.
Last modified: May 23, 2007