2017
Том 69
№ 9

All Issues

On complementability of certain generalized hypercenters in Artinian modules

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

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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.

English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 11, pp 1742-1746.

Citation Example: Kurdachenko L. A., Petrenko B. V., Subbotin I. Ya. On complementability of certain generalized hypercenters in Artinian modules // Ukr. Mat. Zh. - 1997. - 49, № 11. - pp. 1548–1552.

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