Yanchevskiĭ Vyacheslav Ivanovich

Publications in Math-Net.Ru

1. A fundamental domain in the special linear group $SL_2(\mathbb{f}_p[x])$ and secret sharing on its basis
   
   Proceedings of the Institute of Mathematics of the NAS of Belarus, 32:2 (2024),  7–16
2. To the memory of Irina Dmitrievna Suprunenko
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 29:1 (2023),  280–287
3. Henselian division algebras and reduced unitary Whitehead groups for outer forms of anisotropic algebraic groups of the type $A_n$
   
   Mat. Sb., 213:8 (2022),  83–148
4. Homomorphisms and involutions of unramified henselian division algebras
   
   Zap. Nauchn. Sem. POMI, 423 (2014),  264–275
5. Reduced Whitehead groups and conjugacy problem for special unitary groups of anisotropic hermitian forms
   
   Zap. Nauchn. Sem. POMI, 400 (2012),  222–245
6. Homogeneous skew-fields of non-commutative rational functions and their reduced Whitehead groups
   
   Zap. Nauchn. Sem. POMI, 388 (2011),  270–308
7. Invariant subalgebras of involutorial quaternion division algebras
   
   Zap. Nauchn. Sem. POMI, 388 (2011),  196–209
8. On another proof for B. Sury's theorem
   
   Zap. Nauchn. Sem. POMI, 365 (2009),  196–207
9. Symbol algebras and cyclicity of algebras after a scalar extension
   
   Fundam. Prikl. Mat., 14:6 (2008),  193–209
10. Abelian crossed products and scalar extensions of central simple algebras
    
    Zap. Nauchn. Sem. POMI, 356 (2008),  179–188
11. Conic bundles over real formal power series field
    
    Algebra Discrete Math., 2004, no. 1,  1–16
12. The indices of central simple algebras over function fields of projective spaces over $P_{n,r}$-fields
    
    Mat. Sb., 193:11 (2002),  125–138
13. Ramification and reciprocity laws in Brauer groups of function fields of numerical curves of genus one
    
    Algebra i Analiz, 8:5 (1996),  210–228
14. Brauer groups of local hyperelliptic curves with good reduction
    
    Algebra i Analiz, 7:6 (1995),  227–249
15. Torsion and the Brauer groups of local elliptic curves
    
    Algebra i Analiz, 7:3 (1995),  200–239
16. The Hasse principle for Brauer groups of function fields on the products of Severi–Brauer varieties and projective quadrics
    
    Trudy Mat. Inst. Steklov., 208 (1995),  350–365
17. On defects of valued division algebras
    
    Algebra i Analiz, 3:3 (1991),  147–164
18. Finite-dimensional skew fields
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 77 (1991),  144–262
19. On the defect of valued skew-fields
    
    Dokl. Akad. Nauk SSSR, 314:5 (1990),  1082–1084
20. Whitehead groups of algebraic groups of classical type, and $R$-equivalence
    
    Dokl. Akad. Nauk SSSR, 314:1 (1990),  110–114
21. Whitehead groups of spinor groups
    
    Izv. Akad. Nauk SSSR Ser. Mat., 54:1 (1990),  60–96
22. Reduced norms of simple algebras over function fields
    
    Trudy Mat. Inst. Steklov., 183 (1990),  215–222
23. On the Whitehead groups and the Kneser–Tits conjecture for spinor groups
    
    Dokl. Akad. Nauk SSSR, 307:1 (1989),  31–35
24. Finite-dimensional Henselian division algebras
    
    Dokl. Akad. Nauk SSSR, 297:3 (1987),  542–547
25. On the theory of Henselian division algebras
    
    Dokl. Akad. Nauk SSSR, 297:2 (1987),  294–298
26. Dieudonné's conjecture on the structure of unitary groups, and division rings over Henselian fields
    
    Dokl. Akad. Nauk SSSR, 279:3 (1984),  546–549
27. Dieudonné's conjecture on the structure of unitary groups over a division ring, and Hermitian $K$-theory
    
    Izv. Akad. Nauk SSSR Ser. Mat., 48:6 (1984),  1266–1294
28. $\mathrm{SK}_1$ for division rings of noncommutative rational functions
    
    Dokl. Akad. Nauk SSSR, 249:5 (1979),  1064–1068
29. A converse problem in reduced unitary $K$-theory
    
    Mat. Zametki, 26:3 (1979),  475–482
30. Reduced unitary $K$-theory. Aplications to algebraic groups
    
    Mat. Sb. (N.S.), 110(152):4(12) (1979),  579–596
31. Reduced unitary Whitehead groups of skew fields of noncommutative rational functions
    
    Zap. Nauchn. Sem. LOMI, 94 (1979),  142–148
32. On stability in reduced $K$-theory
    
    Dokl. Akad. Nauk SSSR, 242:4 (1978),  769–772
33. Reduced unitary $K$-theory and division rings over discretely valued Hensel fields
    
    Izv. Akad. Nauk SSSR Ser. Mat., 42:4 (1978),  879–918
34. Reduced unitary $K$-theory
    
    Dokl. Akad. Nauk SSSR, 229:6 (1976),  1332–1334
35. Division rings over Hensel discretely valued fields and the Tannaka–Artin problem
    
    Dokl. Akad. Nauk SSSR, 226:2 (1976),  281–283
36. On the Kneser–Tits conjecture for unitary groups
    
    Dokl. Akad. Nauk SSSR, 225:1 (1975),  48–51
37. The commutator subgroups of simple algebras with surjective reduced norms
    
    Dokl. Akad. Nauk SSSR, 221:5 (1975),  1056–1058
38. On Harder's conjecture
    
    Dokl. Akad. Nauk SSSR, 221:4 (1975),  784–787
39. Simple algebras with involution, and unitary groups
    
    Mat. Sb. (N.S.), 93(135):3 (1974),  368–380
40. The structure of unitary groups and the commutator group of a simple algebra over global fields
    
    Dokl. Akad. Nauk SSSR, 208:3 (1973),  541–544


41. Dmitrii Alekseevich Suprunenko: on the 100th anniversary of his birth
    
    Tr. Inst. Mat., 23:2 (2015),  3–10
42. Vladimir Petrovich Platonov (on his 60th birthday)
    
    Uspekhi Mat. Nauk, 55:3(333) (2000),  197–204
43. Поправки к статье "О стабильности в приведенной $K$-теории" (ДАН, т. 242, № 4, 1978 г.)
    
    Dokl. Akad. Nauk SSSR, 245:3 (1979),  520