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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2022, Number 2, Pages 67–71
(Mi vmumm4464)
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This article is cited in 2 scientific papers (total in 2 papers)
Short notes
Gradings of quadratic kummer extensions
D. A. Badulin, A. L. Kanunnikov Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
We describe all gradings of quadratic kummer extensions by a group. These extensions have a natural grading
by Galois group and its subgroups. We find criteria for such extensions to have non-trivial gradings by other groups.
Key words:
graded rings, field extensions, Galois group.
Received: 30.07.2021
Citation:
D. A. Badulin, A. L. Kanunnikov, “Gradings of quadratic kummer extensions”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 2, 67–71; Moscow University Mathematics Bulletin, 77:2 (2022), 97–101
Linking options:
https://www.mathnet.ru/eng/vmumm4464 https://www.mathnet.ru/eng/vmumm/y2022/i2/p67
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Abstract page: | 91 | Full-text PDF : | 40 | References: | 17 | First page: | 6 |
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