Direct decompositions of Artinian modules over hypercyclic groups |
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Authors: | D. I. Zaitsev V. A. Maznichenko |
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Affiliation: | (1) Mathematics Institute, Academy of Sciences of the Ukrainian SSR, Kiev |
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Abstract: | Let G be a hypercyclic group and A be an Artianian G-module. A class of simple G-modules is defined and it is proved that there exists a direct decomposition A=C B, where C is a G-submodule, each G-composition factor of which belongs to the class, and B is a G-submodule that does not have G-composition factors belonging to.Deceased.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, Nos. 7 and 8, pp. 930–934, July–August, 1991. |
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