An isomorphism problem for objects in categories related to finite dimensional division algebras having henselian valuations-Reference-Cited by-同舟云学术

An isomorphism problem for objects in categories related to finite dimensional division algebras having henselian valuations

Published:2024-01-04 Issue:4 Volume:59 Page:271-278
ISSN:2524-2415
Container-title:Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series
language:
Short-container-title:Vescì Akademìì navuk Belarusì. Seryâ fizika-matematyčnyh navuk

Author:

Yanchevskiĭ V. I.¹

Affiliation:

1. Institute of Mathematics of the National Academy of Sciences of Belarus

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.

Publisher

Publishing House Belorusskaya Nauka

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