The Hensel-Shafarevich canonical basis in Honda formal modules
https://doi.org/10.22405/2226-8383-2020-21-1-368-373
Abstract
In this paper, we construct Hensel–Shafarevich generating set in Honda formal modules over a higher dimensional field. Later, that should allow us to compute Hilbert symbol in this case.
About the Authors
Sergey Vladimirovich Vostokov
St. Petersburg University
Russian Federation
Russian Federation
doctor of physical and mathematical Sciences, Professor, Professor of algebra and number theory Department
Regina Petrovna Vostokova
St. Petersburg State University
Russian Federation
Russian Federation
Senior Lecturer, Department of General Mathematics and Computer Science
Elena Valerevna Ikonnikova
St. Petersburg State University
Russian Federation
Research Engineer, Faculty of Mathematics and Computer Science
Russian Federation
Research Engineer, Faculty of Mathematics and Computer Science
Review
For citations:
Vostokov S.V., Vostokova R.P., Ikonnikova E.V. The Hensel-Shafarevich canonical basis in Honda formal modules. Chebyshevskii Sbornik. 2020;21(1):368-373. (In Russ.) https://doi.org/10.22405/2226-8383-2020-21-1-368-373
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