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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022 Number 2, Pages 67–71 (Mi vmumm4464)

This article is cited in 1 paper

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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.

UDC: 512.552

Received: 30.07.2021


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2022, 77:2, 97–101

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© Steklov Math. Inst. of RAS, 2026