I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2011/2012, VOLUME 17, NUMBER 3, PAGES 25-37
Modules over integer group rings of locally soluble groups with
O. Yu. Dashkova
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be the ring of integers, be a -module, where
a minimax -module,
a locally soluble group.
be the system of all subgroups such that quotient modules are not
The author studies -modules such that
satisfies the minimal condition as an ordered set.
It is proved that a locally soluble group with these conditions is
The structure of the group is described.
Last modified: May 4, 2012