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STRUCTURE OF RAMIFIED DISCRETELY VALUED HENSELIAN DIVISION ALGEBRAS WITH INVOLUTIONS

https://doi.org/10.29235/1561-8323-2018-62-1-7-12

Abstract

The aim of the article is to describe the inner structure of ramified division algebras with second-kind involutions over discretely valued henselian fields as the direct sum of their inertial algebras and special generators from valuation ideals. 

About the Authors

Vyacheslav I. Yanchevskii
Institute of Mathematics of the National Academy of Sciences of Belarus
Belarus

Academician, D. Sc. (Physics and Mathematics), Professor, Head of the Department

11, Surganov Str., 220072, Minsk



Alexander A. Ryzhkov
Belarusian State University
Belarus

Undergraduate

4, Nezavisimosti Ave., 220030, Minsk



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ISSN 1561-8323 (Print)
ISSN 2524-2431 (Online)