On complementability of certain generalized hypercenters in Artinian modules |
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| Authors: | L. A. Kurdanchenko B. V. Petrenko I. Ya. Subbotin |
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| Affiliation: | 1. Dnepropetrovsk University, Dnepropetrovsk
2. University of California at Los Angeles, Los Angeles, USA
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| 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. |
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