CYCLIC INVARIANT TOWERS IN DIVISION ALGEBRAS WITH INVOLUTIONS
Abstract
The aim of this article is to obtain sufficient conditions for existence of cyclic invariant towers for a wide class of division algebras with unitary involutions. This gives us the opportunity to prove the congruence theorem for special Henselian division algebras.
About the Author
V. I. Yanchevskiĭ
Institute of Mathematics of the National Academy of Sciences of Belarus
Belarus
Belarus
References
1. Tikhonov, S. V. Symmetric elements, Hermitian forms, and cyclic involutions / S. V. Tikhonov V. I. Yanchevskiĭ // Communications in Algebra. – 2015. – Vol. 43, N 11. – P. 4735–4744.
2. Rehmann, U. Prescribed behavior of central simple algebras after scalar extension / U. Rehmann, S. V. Tikhonov, V. I. Yanchevskiĭ // J. of Algebra. – 2012. – Vol. 351. – P. 279–293.
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