On direct decompositions in modules over group rings

Authors

  • 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

Issue

Section

Research articles

How to Cite

Petrenko, B. 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.