An isomorphism problem for objects in categories related to finite dimensional division algebras having henselian valuations
https://doi.org/10.29235/1561-2430-2023-59-4-271-278
Abstract
Abstract. Let K be a field. In this paper, we found the necessary and sufficient conditions for K-homomorphisms of noncommutative finite-dimensional central division K-algebras with henselian valuations being K-isomorphisms. A similar result is obtained for the case of algebras with involutions. A category interpretation of these results is given.
About the Author
V. I. Yanchevskiĭ
Institute of Mathematics of the National Academy of Sciences of Belarus
Belarus
Belarus
Vyacheslav I. Yanchevskiĭ – Academician of the National Academy of Sciences of Belarus, Dr. Sc. (Physics and Mathematics), Professor, Head of the Department of Algebra
11, Surganov Str., 220012, Minsk, Republic of Belarus
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