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On the Nilpotency of Some Modules Over Group Rings

  • Leonid Kurdachenko,
  • Oleksandr Pypka,
  • Igor Subbotin

摘要

We study RG-modules that do not contain nonzero G-perfect factors. In particular, it is shown that if a group G is finite and R is a Dedekind domain with some additional restrictions, then these RG-modules are G-nilpotent.