Abstract
We continue studying the associative rings complete and reduced in the sense of Martynov. We prove that the group of invertible elements of a reduced associative ring is reduced. We compute the complete radical of a group ring over the ring of integers and the complete radical of the group algebra over an arbitrary algebra over a finite prime field.
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 48, No. 5, pp. 1065–1073, September–October, 2007.
Original Russian Text Copyright © 2007 Kornev A. I.
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Kornev, A.I. Complete radicals of some group rings. Sib Math J 48, 857–862 (2007). https://doi.org/10.1007/s11202-007-0087-0
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DOI: https://doi.org/10.1007/s11202-007-0087-0