Complete radicals of some group rings

A. I. Kornev

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Complete radicals of some group rings

机译：某些基团环的完整部首

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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.

机译：我们继续研究Martynov意义上完整和简化的关联环。我们证明了减少的缔合环的可逆元素的组被减少。我们计算整数环上的群环的完全根，并且在有限素数域上的任意代数上计算群代数的完全根。

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来源
《Siberian Mathematical Journal》 |2007年第5期|共6页
作者
A. I. Kornev;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
group ring; complete ring; complete radical; Kurosh-Amitsur radical;

机译：基团环;完全环;完全自由基;Kurosh-Amitsur自由基;

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Complete radicals of some group rings

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