V. I. Yanchevskiĭ

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All published works

Action	Title	Year	Authors
+ PDF Chat	On abelian unitary involutions of crossed products	2024	V. I. Yanchevskiĭ
+ PDF Chat	An isomorphism problem for objects in categories related to finite dimensional division algebras having henselian valuations	2024	V. I. Yanchevskiĭ
+ PDF Chat	Henselian division algebras and reduced unitary Whitehead groups for outer forms of anisotropic algebraic groups of the type $A_n$	2022	V. I. Yanchevskiĭ
+ PDF Chat	Henselian division algebras and reduced unitary Whitehead groups for outer forms of anisotropic algebraic groups of the type $A_n$	2022	V. I. Yanchevskiĭ
+ PDF Chat	Reduced anisotropic unitary Whitehead groups of henselian division algebras with special residue fields of their centers	2021	V. I. Yanchevskiĭ
+ PDF Chat	On reduced anisotropic unitary Whitehead groups of henselian division algebras which are either unramified or tamely ramified with commutative residue algebras	2021	V. I. Yanchevskiĭ
+ PDF Chat	On the classification of finite-dimensional Henselian simple central algebras with unitary involutions	2020	И. О. Говорушко V. I. Yanchevskiĭ
+ PDF Chat	Tate cohomology of special norm modules related to Henselian division algebras	2018	V. I. Yanchevskiĭ
+ PDF Chat	CLASSIFICATION OF RAMIFIED DISCRETELY VALUED HENSELIAN DIVISION ALGEBRAS WITH INVOLUTIONS	2018	V. I. Yanchevskiĭ Alexander A. Ryzhkov
+	Homomorphisms and Involutions of Unramified Henselian Division Algebras	2015	Sergey V. Tikhonov V. I. Yanchevskiĭ
+	Symmetric Elements, Hermitian Forms, and Cyclic Involutions	2015	Sergey V. Tikhonov V. I. Yanchevskiĭ
+	Reduced Whitehead Groups and the Conjugacy Problem for Special Unitary Groups of Anisotropic Hermitian Forms	2013	V. I. Yanchevskiĭ
+ PDF Chat	Homogeneous skew fields of noncommutative rational functions and their reduced whitehead groups	2012	V. I. Yanchevskiĭ
+ PDF Chat	Invariant subalgebras of involutorial quaternion division algebras	2012	Andrii Prokopchuk V. I. Yanchevskiĭ
+	Brauer groups of curves and reciprocity law in Brauer groups of their function fields	2012	V. I. Yanchevskiĭ
+	Prescribed behavior of central simple algebras after scalar extension	2011	Ulf Rehmann Sergey V. Tikhonov V. I. Yanchevskiĭ
+	Unitary <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mi mathvariant="normal">SK</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:math> for a graded division ring and its quotient division ring	2011	Adrian R. Wadsworth V. I. Yanchevskiĭ
+	Unitary SK_1 for a Graded Division Ring and its Quotient Division Ring	2011	Adrian R. Wadsworth V. I. Yanchevskiĭ
+	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 V. I. Yanchevskiĭ
+	Symbol algebras and cyclicity of algebras after a scalar extension	2009	Ulf Rehmann Sergey V. Tikhonov V. I. Yanchevskiĭ
+	Another proof of B. Sury’s theorem	2009	Andrii Prokopchuk V. I. Yanchevskiĭ
+ PDF Chat	Abelian crossed products and scalar extensions of central simple algebras	2009	Sergey V. Tikhonov V. I. Yanchevskiĭ
+	Note on Conic Bundles over Henselian Discrete Valued Fields with Real Closed Residue Field	2008	D Bazyleu Jan Van Geel V. I. Yanchevskiĭ
+	Ω-Algebras over Henselian Discrete Valued Fields with Real Closed Residue Field	2007	D Bazyleu Jan Van Geel V. I. Yanchevskiĭ
+	Pythagoras numbers of function fields of hyperelliptic curves with good reduction	2006	Sergey V. Tikhonov Jan Van Geel V. I. Yanchevskiĭ
+ PDF Chat	Bicyclic algebras of prime exponent over function fields	2005	Boris Kunyavskiı̆ Louis Rowen Sergey V. Tikhonov V. I. Yanchevskiĭ
+ PDF Chat	Division algebras that ramify only on a plane quartic curve	2005	Boris Kunyavskiı̆ Louis Rowen Sergey V. Tikhonov V. I. Yanchevskiĭ
+	Division algebras that ramify only on a plane quartic curve	2004	Boris Kunyavskiı̆ Louis Rowen Sergey V. Tikhonov V. I. Yanchevskiĭ
+	The index of certain hyperelliptic curves over $p$-adic fields	2003	Jan Van Geel V. I. Yanchevskiĭ
+	The indices of central simple algebras over function fields of projective spaces over $ P_{n,r}$-fields	2002	Sergey V. Tikhonov V. I. Yanchevskiĭ
+ PDF Chat	Индексы центральных простых алгебр над полями функций проективных пространств над $P_{n,r}$-полями	2002	S. V. Tikhonov Sergey V. Tikhonov Вячеслав Иванович Янчевский V. I. Yanchevskiĭ
+	TWO-TORSION OF THE BRAUER GROUPS OF HYPERELLIPTIC CURVES AND UNRAMIFIED ALGEBRAS OVER THEIR FUNCTION FIELDS	2001	Ulf Rehmann Sergey V. Tikhonov V. I. Yanchevskiĭ
+	Brauer groups of curves and unramified, central simple algebras over their function fields	2000	V. I. Yanchevskiĭ G. Margolin Ulf Rehmann
+	Reciprocity laws for simple algebras over function fields of number curves	2000	Vladimir Guletskiĭ V. I. Yanchevskiĭ
+ PDF Chat	Indices of double coverings of genus 1 over $p$-adic fields	1999	Jan Van Geel V. I. Yanchevskiĭ
+	Indices of hyperelliptic curves over p -adic fields	1998	Jan Van Geel V. I. Yanchevskiĭ
+	Finite-Dimensional Division Algebras	1996	В. П. Платонов V. I. Yanchevskiĭ
+	The Whitehead groups of algebraic groups and applications to some problems of algebraic group theory	1995	A. P. Monastyrnyĭ V. I. Yanchevskiĭ
+ PDF Chat	Discriminants of involutions on Henselian division algebras	1995	Maurice J. Chacron H. Dherte Jean-Pierre Tignol Adrian R. Wadsworth V. I. Yanchevskiĭ
+	K	1995	V. V. Shekhtman M. I. Voĭtsekhovskiĭ D. V. Anosov A. S. Mishchenko A N Rudakov A. L. Onishchik A. Ya. Kiruta I. K. Daugavet D. D. Sokolov L. E. Evtushik
+	Symmetric and skew-symmetric elements of involutions, associated groups and the problem of decomposability of involutions	1994	V. I. Yanchevskiĭ
+ PDF Chat	Crossed products of simple algebras and their automorphism groups	1992	V. V. Kursov V. I. Yanchevskiĭ
+	Rational splitting fields of simple algebras and unirationality of conic bundles	1992	I. I. Voronovich V. I. Yanchevskiĭ
+	Reduced unitary Whitehead groups and noncommutative rational functions	1992	V. I. Yanchevskiĭ
+ PDF Chat	On the defect of valued division algebras	1992	V. I. Yanchevskiĭ
+	WHITEHEAD GROUPS OF SPINOR GROUPS	1991	A P Monastyrnyĭ V. I. Yanchevskiĭ
+ PDF Chat	K-unirationality of conic bundles, the Kneser-Tits conjecture for spinor groups and central simple algebras	1990	V. I. Yanchevskiĭ
+	DIEUDONNÉ'S CONJECTURE ON THE STRUCTURE OF UNITARY GROUPS OVER A DIVISION RING, AND HERMITIAN<i>K</i>-THEORY	1985	В. П. Платонов V. I. Yanchevskiĭ
+	Reduced unitary Whitehead groups of skew fields of noncommutative rational functions	1982	V. I. Yanchevskiĭ
+	A converse problem in reduced unitary K-theory	1979	V. I. Yanchevskiĭ

Common Coauthors

Coauthor	Papers Together
Sergey V. Tikhonov	13
Jan Van Geel	7
Ulf Rehmann	4
Adrian R. Wadsworth	3
Boris Kunyavskiı̆	3
Louis Rowen	3
В. П. Платонов	2
D Bazyleu	2
А. В. Прокопчук	2
Т. П. Лукашенко	1
Alexander Burinskii	1
Alexander A. Ryzhkov	1
S. V. Tikhonov	1
A P Monastyrnyĭ	1
L. E. Evtushik	1
I. I. Voronovich	1
L. A. Skornyakov	1
E. D. Solomentsev	1
A. Ya. Kiruta	1
A. P. Monastyrnyĭ	1
V. V. Kursov	1
G. L. Litvinov	1
L. G. Zambakhidze	1
D. D. Sokolov	1
Б. М. Бредихин	1
V. G. Krechet	1
Леонид Викторович Кузьмин	1
Vladimir Guletskiĭ	1
M A Shtan'ko	1
Б. А. Ефимов	1
Michael Färber	1
A. P. Prudnikov	1
Heinz Langer	1
V. M. Babich	1
H. Dherte	1
A N Rudakov	1
Оlga А. Ivanova	1
V. E. Plisko	1
I. V. Proskuryakov	1
M. Sh. Tsalenko	1
A. A. Mal’tsev	1
A. S. Mishchenko	1
E. G. Sobolevskaya	1
И. О. Говорушко	1
D. P. Zhelobenko	1
E. G. Goluzina	1
V. I. Zaĭtsev	1
L. A. Takhtadzhyan	1
G. Margolin	1
M. I. Voĭtsekhovskiĭ	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	REDUCED UNITARY<i>K</i>-THEORY. APPLICATIONS TO ALGEBRAIC GROUPS	1981	V I Jančevskiĭ	10
+	REDUCED UNITARY<i>K</i>-THEORY AND DIVISION RINGS OVER DISCRETELY VALUED HENSEL FIELDS	1979	V I Jančevskiĭ	8
+	A note on the special unitary group of a division algebra	2005	B. Sethuraman B. Sury	8
+	Groupes de whitehead de groupes algébriques simples sur un corps [d’après V. P. Platonov et al.]	1978	Jacques Tits	8
+	Division algebras over Henselian fields	1990	Bill Jacob Adrian R. Wadsworth	8
+	On SU(1,D)/[U(1,D),U(1,D)] for a quaternion division algebra D	2008	B. Sury	8
+	THE TANNAKA-ARTIN PROBLEM AND REDUCED<i>K</i>-THEORY	1976	В. П. Платонов	7
+	HENSELIAN VALUATIONS OF DIVISION RINGS AND THE GROUP<i>SK</i><sub>1</sub>	1983	Yu. L. Ershov	7
+ PDF Chat	Involutorial Simple Algebras and Real Riemann Matrices	1935	A. A. Albert	6
+ PDF Chat	SK1 of graded division algebras	2011	Roozbeh Hazrat Adrian R. Wadsworth	6
+	On the Commutator Group of a Simple Algebra	1950	Shianghaw Wang	6
+ PDF Chat	Unitary SK1 of semiramified graded and valued division algebras	2012	Adrian R. Wadsworth	6
+	SK1 von Algebren über vollständig diskret bewerteten Körpern und Galoiskohomologie abelscher Körpererweiterungen.	1977	Peter Draxl	5
+	Algebraic and Abstract Simple Groups	1964	Jacques Tits	5
+	SIMPLE ALGEBRAS WITH INVOLUTION, AND UNITARY GROUPS	1974	V I Jančevskiĭ	5
+	Lectures on Division Algebras	1999	David J. Saltman	5
+	Reduced Whitehead Groups and the Conjugacy Problem for Special Unitary Groups of Anisotropic Hermitian Forms	2013	V. I. Yanchevskiĭ	5
+ PDF Chat	Unitary SK<sub>1</sub> of graded and valued division algebras	2011	Roozbeh Hazrat Adrian R. Wadsworth	5
+ PDF Chat	Bicyclic algebras of prime exponent over function fields	2005	Boris Kunyavskiı̆ Louis Rowen Sergey V. Tikhonov V. I. Yanchevskiĭ	5
+	TWO-TORSION OF THE BRAUER GROUPS OF HYPERELLIPTIC CURVES AND UNRAMIFIED ALGEBRAS OVER THEIR FUNCTION FIELDS	2001	Ulf Rehmann Sergey V. Tikhonov V. I. Yanchevskiĭ	5
+	A converse problem in reduced unitary K-theory	1979	V. I. Yanchevskiĭ	5
+	The Book of Involutions	1998	Max-Albert Knus Alexander Merkurjev Markus Rost Jean-Pierre Tignol	5
+	𝑆𝐾₁ of division algebras and Galois cohomology revisited	2006	Andrei Suslin	4
+	Lectures on Division Algebras	1999	David J. Saltman	4
+	Isomorphisms of generic splitting fields of simple algebras.	1964	Peter Roquette	4
+	Quadratic and Hermitian Forms	1985	Winfried Scharlau	4
+	Homomorphisms and Involutions of Unramified Henselian Division Algebras	2015	Sergey V. Tikhonov V. I. Yanchevskiĭ	4
+	Ostrwoski's theorem for Henselian valued skew fields.	1984	P. K. Draxl	4
+	DIEUDONNÉ'S CONJECTURE ON THE STRUCTURE OF UNITARY GROUPS OVER A DIVISION RING, AND HERMITIAN<i>K</i>-THEORY	1985	В. П. Платонов V. I. Yanchevskiĭ	4
+	Algebraic groups and number theory	1992	В. П. Платонов Andrei S. Rapinchuk	4
+	Finite-Dimensional Division Algebras over Fields	1996	Nathan Jacobson	4
+	Hasse principle and weak approximation for pencils of Severi-Brauer and similar varieties.	1994	Jean-Louis Colliot-Thélène	4
+	Brauer Groups of Discrete Valuation Rings	1968	Maurice Auslander Armand Brumer	4
+	Structure of Algebras	1939	A. Albert	3
+ PDF Chat	Cohomologie Galoisienne	1994	Jean-Pierre Serre	3
+	Associative Algebras	1982	R. S. Pierce	3
+ PDF Chat	Biquaternion algebras and quartic extensions	1993	Tsit Yuen Lam David B. Leep Jean-Pierre Tignol	3
+	SK1 of division algebras and Galois cohomology	1991	Andrei Suslin	3
+	Central simple algebras	1978	Louis Rowen	3
+	Unitary <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mi mathvariant="normal">SK</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:math> for a graded division ring and its quotient division ring	2011	Adrian R. Wadsworth V. I. Yanchevskiĭ	3
+	RATIONAL SURFACES WITH A PENCIL OF RATIONAL CURVES	1967	V A Iskovskih	3
+ PDF Chat	The index of a Brauer class on a Brauer-Severi variety	1992	Aidan Schofield Michel Van den Bergh	3
+ PDF Chat	On the structure of unitary groups	1952	Jean Dieudonné	3
+	Quadratic forms over fraction fields of two-dimensional Henselian rings and Brauer groups of related schemes	2002	Jean-Louis Colliot-Thélène Manuel Ojanguren R. Parimala	3
+	On central division algebras	1972	S. A. Amitsur	3
+	The Henselization of a valued division algebra	1989	Pat Morandi	3
+ PDF Chat	La $R$-équivalence sur les tores	1977	Jean-Louis Colliot-Thélène Jean-Jacques Sansuc	3
+ PDF Chat	Über die multiplikative Gruppe einer $\mathfrak{p}$-adischen Divisionsalgebra	1943	Tadasi Nakayama YOZÔ MATSUSHIMA	3
+	The period-index problem for the Brauer group of an algebraic surface	2004	A. J. de Jong	2
+	Central Simple Algebras and Galois Cohomology	2006	Philippe Gille Tamás Szamuely	2