On direct decompositions in modules over group rings

  • B. V. Petrenko

Abstract

In the theory of infinite groups, one of the most important useful generalizations of the classical Maschke theorem is the Kovačs-Newman theorem, which establishes sufficient conditions for the existence of G-invariant complements in modules over a periodic group G finite over the center. We genralize the Kovačs-Newman theorem to the case of modules over a group ring KG, where K is a Dedekind domain.
Published
25.02.1997
How to Cite
PetrenkoB. V. “On Direct Decompositions in Modules over Group Rings”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 49, no. 2, Feb. 1997, pp. 255–261, https://umj.imath.kiev.ua/index.php/umj/article/view/5002.
Section
Research articles