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This article is cited in 4 scientific papers (total in 4 papers)
On the structure of two-dimensional local skew fields
A. B. Zheglov M. V. Lomonosov Moscow State University
Abstract:
The concept of $n$-dimensional local skew field is a direct generalization of the concept of $n$-dimensional local field. We study 2-dimensional local skew fields and solve the classification problem for the those of characteristic 0 whose last residue field is contained in the centre, and suggest a condition under which there is a section of the residue map whose first residue skew field is commutative. Under this condition we solve the classification problem for all 2-dimensional local skew fields.
For skew fields of characteristic 0 whose last residue field is contained in the centre, we state a criterion for two elements to be conjugate.
Received: 28.06.1999
Citation:
A. B. Zheglov, “On the structure of two-dimensional local skew fields”, Izv. Math., 65:1 (2001), 23–55
Linking options:
https://www.mathnet.ru/eng/im318https://doi.org/10.1070/im2001v065n01ABEH000318 https://www.mathnet.ru/eng/im/v65/i1/p25
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Abstract page: | 486 | Russian version PDF: | 206 | English version PDF: | 40 | References: | 74 | First page: | 1 |
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