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Sergey Viktorovich Tikhonov

Observed names: S V Tikhonov, S. V. Tikhonov, Sergey V. Tikhonov, Tikhonov, S. V., Tikhonov, Sergey V., С. В. Тихонов, Тихонов С. В., Тихонов, С. В.
Observed institutions: Plekhanov Russian University of Economics, Gubkin Russian State University of Oil and Gas, National Academy of Sciences, National Academy of Sciences of Belarus, Belarusian State University, Institute of Mathematics
ORCID: 0000-0002-2597-7964
Observed ORCID: 0000-0002-2597-7964
OpenAlex ID: A5032440850
Bicyclic algebras of prime exponent over function fields
2005 · Boris È. Kunyavskiĭ, Louis H. Rowen, et al. · Transactions of the American Mathematical Society · 13
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Division algebras of prime degree with infinite genus
2016 · Sergey V. Tikhonov · Proceedings of the Steklov Institute of Mathematics · 12
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Pythagoras numbers of function fields of hyperelliptic curves with good reduction
2006 · Sergey V. Tikhonov, Jan Van Geel, et al. · manuscripta mathematica · 12
Division algebras that ramify only on a plane quartic curve
2005 · Boris È. Kunyavskiĭ, Louis H. Rowen, et al. · Proceedings of the American Mathematical Society · 6
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Two-torsion of the Brauer Groups of Hyperelliptic Curves and Unramified Algebras Over Their Function Fields
2001 · U. Rehmann, S. V. Tikhonov, et al. · Communications in Algebra · 6
Symbol algebras and cyclicity of algebras after a scalar extension
2009 · U. Rehmann, S. V. Tikhonov, et al. · Journal of Mathematical Sciences · 5
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Алгебры с делением простой степени с бесконечным родом
2016 · С. В. Тихонов · Труды Математического института им Стеклова · 3
Homomorphisms and Involutions of Unramified Henselian Division Algebras
2015 · S. V. Tikhonov, V. I. Yanchevskii · Journal of Mathematical Sciences · 3
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Mixing Actions of Locally Compact Groups
2025 · S. V. Tikhonov · Mathematical Notes · 2
Roots of polynomials over division rings
2024 · A. G. Goutor, S. V. Tikhonov · Doklady of the National Academy of Sciences of Belarus · 2
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Outer forms of type $A_{2}$ with infinite genus
2024 · Sergey V. Tikhonov · Documenta Mathematica · 2
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Prescribed behavior of central simple algebras after scalar extension
2011 · Ulf Rehmann, Sergey V. Tikhonov, et al. · Journal of Algebra · 2
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Symmetric Elements, Hermitian Forms, and Cyclic Involutions
2015 · Sergey V. Tikhonov, Vyacheslav I. Yanchevskiĭ · Communications in Algebra · 1
Genus of quaternion algebras over formally real fields
2026 · Tikhonov, Sergey V. · arXiv (Cornell University)
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Factorization of central polynomials over division algebras
2026 · Goutor, A. G., Tikhonov, S. V. · arXiv (Cornell University)
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Genus of division algebras over fields with infinite transcendence degree
2025 · Sergey V. Tikhonov · Archiv der Mathematik
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Quaternion algebras with unitary involutions having the same subfields
2025 · Sergey Viktorovich Tikhonov · Чебышевский сборник
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Anatolii Mikhailovich Stepin
2022 · O. N. Ageev, Ya. B. Vorobets, et al. · Russian Mathematical Surveys
The unramified Brauer group and the Pythagoras number of hyperelliptic curves with good reduction defined over henselian valued fields
2011 · Sergey V. Tikhonov, Jan Van Geel, et al. · BSU Digital Library (Belarusian State University)
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Abelian crossed products and scalar extensions of central simple algebras
2009 · S. V. Tikhonov, V. I. Yanchevskii · Journal of Mathematical Sciences
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Conic bundles over real formal power series field
2003 · D Bazyleu, Sergey V. Tikhonov, et al. · Algebra and Discrete Mathematics
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The indices of central simple algebras over function fields of projective spaces over $ P_{n,r}$-fields
2002 · S V Tikhonov, V I Yanchevskii · Sbornik Mathematics
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Индексы центральных простых алгебр над полями функций проективных пространств над $P_{n,r}$-полями
2002 · Сергей Викторович Тихонов, Sergey Viktorovich Tikhonov, et al. · Математический сборник
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Works count: 29
Citation count: 69
H-index: 5
I10-index: 3
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