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This article is cited in 3 scientific papers (total in 3 papers)
Normal subgroups of the multiplicative group of a ring
A. A. Bovdi, I. I. Khripta
Abstract:
In the paper we study the construction of $K$-linearly independent normal subgroups of the multiplicative group $U(R)$ of an algebra $R$ over a ring $K$ of characteristic $p^m$ and their ordering inside the groups $U(R)$. We also describe the group rings whose multiplicative group contains a $K$-linearly independent normal subgroup not belonging to the center and containing an element of finite order. We also study abelian normal subgroups of the multiplicative group of the ring of a $p$-group over a ring of characteristic $p$.
Bibliography: 10 titles.
Received: 16.12.1970
Citation:
A. A. Bovdi, I. I. Khripta, “Normal subgroups of the multiplicative group of a ring”, Mat. Sb. (N.S.), 87(129):3 (1972), 338–350; Math. USSR-Sb., 16:3 (1972), 349–362
Linking options:
https://www.mathnet.ru/eng/sm3128https://doi.org/10.1070/SM1972v016n03ABEH001430 https://www.mathnet.ru/eng/sm/v129/i3/p338
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Abstract page: | 444 | Russian version PDF: | 160 | English version PDF: | 20 | References: | 56 | First page: | 1 |
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