On complementability of certain generalized hypercenters in Artinian modules

  • L. A. Kurdachenko
  • B. V. Petrenko
  • I. Ya. Subbotin

Abstract

We prove that, in an Artinian module, the upper FC-hypercenter over an infinite FC-hypercentral locally solvable group has a direct complement. Thus, we obtain a generalization of one of Zaitsev’s theorems and one of Duan’s theorems.
Published
25.11.1997
How to Cite
KurdachenkoL. A., PetrenkoB. V., and SubbotinI. Y. “On Complementability of Certain Generalized Hypercenters in Artinian Modules”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 49, no. 11, Nov. 1997, pp. 1548–1552, https://umj.imath.kiev.ua/index.php/umj/article/view/5154.
Section
Short communications