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pro vyhledávání: '"Tikhonov, A. V."'
Autor:
Tikhonov, Sergey V.
We prove the finiteness of the genus of finite-dimensional division algebras over many infinitely generated fields. More precisely, let $K$ be a finite field extension of a field which is a purely transcendental extension of infinite transcendence de
Externí odkaz:
http://arxiv.org/abs/2409.19321
Autor:
Goutor, Alina G., Tikhonov, Sergey V.
In this paper, we study properties of polynomials over division rings. Moreover, we present formulas for finding roots of some polynomials
Comment: 6 pages
Comment: 6 pages
Externí odkaz:
http://arxiv.org/abs/2403.10999
Autor:
Tikhonov, Sergey V.
Let $G$ be an absolutely almost simple algebraic group over a field $K$. The genus ${\bf gen}_K(G)$ of $G$ is the set of $K$-isomorphism classes of $K$-forms $G'$ of $G$ that have the same $K$-isomorphism classes of maximal $K$-tori as $G$. We constr
Externí odkaz:
http://arxiv.org/abs/2305.01606
Publikováno v:
In Optics Communications 15 January 2025 575
Autor:
Tikhonov, Pavel V.1 (AUTHOR) as984788@gmail.com, Smirnov, Alexander A.1 (AUTHOR), Proshkin, Yuri A.1 (AUTHOR), Burynin, Dmitry A.1 (AUTHOR), Kachan, Sergey A.1 (AUTHOR), Dorokhov, Alexey S.1 (AUTHOR)
Publikováno v:
AgriEngineering. Sep2024, Vol. 6 Issue 3, p3460-3473. 14p.
Autor:
Tikhonov, Andrei V.1 (AUTHOR) tixonov5790@gmail.com, Krapivin, Mikhail I.1 (AUTHOR), Malysheva, Olga V.1 (AUTHOR), Komarova, Evgeniia M.1 (AUTHOR), Golubeva, Arina V.1 (AUTHOR), Efimova, Olga A.1 (AUTHOR), Pendina, Anna A.1 (AUTHOR)
Publikováno v:
Journal of Clinical Medicine. Jun2024, Vol. 13 Issue 11, p3289. 12p.
Autor:
Panikratova, Yana R., Lebedeva, Irina S., Akhutina, Tatiana V., Tikhonov, Denis V., Kaleda, Vasilii G., Vlasova, Roza M.
Publikováno v:
In Schizophrenia Research December 2023 262:201-210
Autor:
Tikhonov, Sergey V.
The genus $gen(D)$ of a finite-dimensional central division algebra $D$ over a field $F$ is defined as the collection of classes $[D']\in Br(F)$, where $D'$ is a central division $F$-algebra having the same maximal subfields as $D$. We show that the
Externí odkaz:
http://arxiv.org/abs/1904.03933
Publikováno v:
In Journal of Electroanalytical Chemistry 15 April 2023 935
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