2024
DOI: 10.29235/1561-2430-2023-59-4-271-278
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An isomorphism problem for objects in categories related to finite dimensional division algebras having henselian valuations

V. I. Yanchevskiĭ

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.

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