Yanchevskiĭ, V. I. Homogeneous skew fields of noncommutative rational functions and their reduced Whitehead groups. (English. Russian original) Zbl 1272.16021 J. Math. Sci., New York 183, No. 5, 727-747 (2012); translation from Zap. Nauchn. Semin. POMI 388, 270-308 (2011). MSC: 16K40 16E20 19B99 PDFBibTeX XMLCite \textit{V. I. Yanchevskiĭ}, J. Math. Sci., New York 183, No. 5, 727--747 (2012; Zbl 1272.16021); translation from Zap. Nauchn. Semin. POMI 388, 270--308 (2011) Full Text: DOI
Wadsworth, A. R.; Yanchevskiĭ, V. I. Unitary SK\(_1\) for a graded division ring and its quotient division ring. (English) Zbl 1261.16006 J. Algebra 352, No. 1, 62-78 (2012). Reviewer: Patrick Morandi (Las Cruces) MSC: 16E20 16K20 16W50 16W10 19B99 PDFBibTeX XMLCite \textit{A. R. Wadsworth} and \textit{V. I. Yanchevskiĭ}, J. Algebra 352, No. 1, 62--78 (2012; Zbl 1261.16006) Full Text: DOI arXiv
Yanchevskiĭ, V. I. Another proof of a computational formula for groups of special projective conorms. (Russian. English summary) Zbl 1204.16014 Dokl. Nats. Akad. Nauk Belarusi 52, No. 5, 16-18, 124 (2008). MSC: 16K20 16K50 16E20 PDFBibTeX XMLCite \textit{V. I. Yanchevskiĭ}, Dokl. Nats. Akad. Nauk Belarusi 52, No. 5, 16--18, 124 (2008; Zbl 1204.16014)
Platonov, V. P.; Yanchevskij, V. I. Finite-dimensional division algebras. (English. Russian original) Zbl 0832.16014 Algebra IX. Encycl. Math. Sci. 77, 121-233 (1996); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 77, 144-262 (1991). MSC: 16K20 12E15 16-02 16E20 PDFBibTeX XMLCite \textit{V. P. Platonov} and \textit{V. I. Yanchevskij}, Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 77, 144--162 (1991; Zbl 0832.16014); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 77, 144--262 (1991)
Platonov, V. P.; Yanchevskij, V. I. Finite-dimensional division algebras. (Russian) Zbl 0804.16019 Gamkrelidze, R. V. (ed.) et al., Algebra - 9. Moskva: Vsesoyuznyj Institut Nauchnoj i Tekhnicheskoj Informatsii, Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya. 77, 144-262 (1991). Reviewer: P.M.Cohn (London) MSC: 16K20 12E15 16-02 16E20 PDFBibTeX XML
Yanchevskij, V. I. Reduced norms of simple algebras over function fields. (English. Russian original) Zbl 0736.16010 Proc. Steklov Inst. Math. 183, 261-269 (1991); translation from Tr. Mat. Inst. Steklova 183, 215-222 (1990). Reviewer: A.N.Parshin (Moskva) MSC: 16K40 11R58 19B28 16E20 PDFBibTeX XMLCite \textit{V. I. Yanchevskij}, Proc. Steklov Inst. Math. 183, 261--269 (1990; Zbl 0736.16010); translation from Tr. Mat. Inst. Steklova 183, 215--222 (1990)
Kaskevich, V. I.; Yanchevskij, V. I. The structure of complete and of special linear groups over Henselian discretely normed Azumaya algebras. (Russian. English summary) Zbl 0622.20038 Dokl. Akad. Nauk BSSR 31, 5-8 (1987). Reviewer: V.Sharko MSC: 20G35 16H05 16E20 PDFBibTeX XMLCite \textit{V. I. Kaskevich} and \textit{V. I. Yanchevskij}, Dokl. Akad. Nauk BSSR 31, 5--8 (1987; Zbl 0622.20038)
Platonov, V. P.; Yanchevskij, V. I. Dieudonné’s conjecture on the structure of unitary groups over a division ring, and Hermitian K-theory. (English) Zbl 0593.16012 Math. USSR, Izv. 25, 573-599 (1985). MSC: 16Kxx 16E20 20G15 16W10 16P10 PDFBibTeX XMLCite \textit{V. P. Platonov} and \textit{V. I. Yanchevskij}, Math. USSR, Izv. 25, 573--599 (1985; Zbl 0593.16012) Full Text: DOI
Platonov, V. P.; Yanchevskij, V. I. Dieudonné’s conjecture on the structure of unitary groups, and division rings over Henselian fields. (English. Russian original) Zbl 0595.16017 Sov. Math., Dokl. 30, 693-696 (1984); translation from Dokl. Akad. Nauk SSSR, 279, 546-549 (1984). Reviewer: G.E.Wall MSC: 16E20 16Kxx 16W10 18F25 PDFBibTeX XMLCite \textit{V. P. Platonov} and \textit{V. I. Yanchevskij}, Sov. Math., Dokl. 30, 693--696 (1984; Zbl 0595.16017); translation from Dokl. Akad. Nauk SSSR, 279, 546--549 (1984)
Platonov, V. P.; Yanchevskij, V. I. Dieudonné’s hypothesis on the structure of unitary groups over a skew field and Hermitian K-theory. (Russian) Zbl 0579.16011 Izv. Akad. Nauk SSSR, Ser. Mat. 48, No. 6, 1266-1294 (1984). MSC: 16Kxx 16E20 20G15 16W10 16P10 PDFBibTeX XMLCite \textit{V. P. Platonov} and \textit{V. I. Yanchevskij}, Izv. Akad. Nauk SSSR, Ser. Mat. 48, No. 6, 1266--1294 (1984; Zbl 0579.16011)
Yanchevskij, V. I. Reduced unitary Whitehead groups of skew fields of noncommutative rational functions. (English) Zbl 0485.16016 J. Sov. Math. 19, 1067-1071 (1982). MSC: 16E20 16Kxx 16W60 18F25 PDFBibTeX XMLCite \textit{V. I. Yanchevskij}, J. Sov. Math. 19, 1067--1071 (1982; Zbl 0485.16016) Full Text: DOI
Yanchevskij, V. I. Reduced unitary Whitehead groups and noncommutative rational functions. (English. Russian original) Zbl 0789.16007 Selected papers in \(K\)-theory. Transl., Ser. 2, Am. Math. Soc. 154, 63-67 (1992); translation from Dokl. Akad. Nauk BSSR 24, 588-591 (1980). MSC: 16E20 16K40 16S36 18F25 16W10 PDFBibTeX XML
Yanchevskij, V. I. Reduced unitary Whitehead groups and noncommutative rational functions. (Russian) Zbl 0438.16016 Dokl. Akad. Nauk BSSR 24, 588-591 (1980). MSC: 16E20 16Kxx 16W60 16W10 18F25 PDFBibTeX XMLCite \textit{V. I. Yanchevskij}, Dokl. Akad. Nauk BSSR 24, 588--591 (1980; Zbl 0438.16016)
Yanchevskij, V. I. Reduced unitary Whitehead groups of skewfields of non-commutative rational functions. (Russian) Zbl 0438.16015 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 94, 142-148 (1979). MSC: 16E20 16Kxx 16W60 18F25 PDFBibTeX XMLCite \textit{V. I. Yanchevskij}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 94, 142--148 (1979; Zbl 0438.16015) Full Text: EuDML
Yanchevskij, V. I. A converse problem in reduced unitary K-theory. (English. Russian original) Zbl 0437.16016 Math. Notes 26, 728-731 (1980); translation from Mat. Zametki 26, 475-482 (1979). MSC: 16Kxx 16W10 16E20 16P10 PDFBibTeX XMLCite \textit{V. I. Yanchevskij}, Math. Notes 26, 728--731 (1979; Zbl 0437.16016); translation from Mat. Zametki 26, 475--482 (1979) Full Text: DOI
Platonov, V. P.; Yanchevskij, V. I. \(SK_1\) for division rings of noncommutative rational functions. (English. Russian original) Zbl 0437.16015 Sov. Math., Dokl. 20, 1393-1397 (1979); translation from Dokl. Akad. Nauk SSSR 249, 1064-1068 (1979). MSC: 16Kxx 16E20 16P10 16W60 PDFBibTeX XMLCite \textit{V. P. Platonov} and \textit{V. I. Yanchevskij}, Sov. Math., Dokl. 20, 1393--1397 (1979; Zbl 0437.16015); translation from Dokl. Akad. Nauk SSSR 249, 1064--1068 (1979)
Yanchevskij, V. I. Reduced unitary K-theory and division rings over discretely valued Hensel fields. (English) Zbl 0422.20032 Math. USSR, Izv. 13, 175-213 (1979). MSC: 20G15 16Kxx 16P10 16E20 PDFBibTeX XMLCite \textit{V. I. Yanchevskij}, Math. USSR, Izv. 13, 175--213 (1979; Zbl 0422.20032) Full Text: DOI
Platonov, V. P.; Yanchevskij, V. I. Correction. (Russian) Zbl 0419.16013 Dokl. Akad. Nauk SSSR 245, 520 (1979). MSC: 16E20 16Kxx 16W60 16P10 16W20 PDFBibTeX XMLCite \textit{V. P. Platonov} and \textit{V. I. Yanchevskij}, Dokl. Akad. Nauk SSSR 245, 520 (1979; Zbl 0419.16013)
Platonov, V. P.; Yanchevskij, V. I. On stability in reduced K-theory. (English. Russian original) Zbl 0417.16013 Sov. Math., Dokl. 19, 1200-1203 (1978); translation from Dokl. Akad. Nauk SSSR 242, 769-772 (1978). MSC: 16E20 16Kxx 16W60 16P10 16W20 PDFBibTeX XMLCite \textit{V. P. Platonov} and \textit{V. I. Yanchevskij}, Sov. Math., Dokl. 19, 1200--1203 (1978; Zbl 0417.16013); translation from Dokl. Akad. Nauk SSSR 242, 769--772 (1978)
Yanchevskii, V. I. On reduced unitary \(K\)-theory. (English. Russian original) Zbl 0343.16017 Sov. Math., Dokl. 17, 1332-1334 (1976); translation from Dokl. Akad. Nauk SSSR 229, 1220-1223 (1976). MSC: 16Kxx 11R52 16E20 16W10 20G15 PDFBibTeX XMLCite \textit{V. I. Yanchevskii}, Sov. Math., Dokl. 17, 1332--1334 (1976; Zbl 0343.16017); translation from Dokl. Akad. Nauk SSSR 229, 1220--1223 (1976)
Yanchevskii, V. I. Division rings over Hensel discretely valued fields and the Tannaka-Artin problem. (English. Russian original) Zbl 0343.16015 Sov. Math., Dokl. 17, 113-116 (1976); translation from Dokl. Akad. Nauk SSSR 226, 281-283 (1976). MSC: 16Kxx 11R52 16E20 20G15 PDFBibTeX XMLCite \textit{V. I. Yanchevskii}, Sov. Math., Dokl. 17, 113--116 (1976; Zbl 0343.16015); translation from Dokl. Akad. Nauk SSSR 226, 281--283 (1976)
Platonov, V. P.; Yanchevskii, V. I. On the Kneser-Tits conjecture for unitary groups. (English. Russian original) Zbl 0343.16016 Sov. Math., Dokl. 16, 1456-1460 (1975); translation from Dokl. Akad. Nauk SSSR 225, 48-51 (1975). MSC: 16Kxx 11R52 16E20 16W10 20G15 PDFBibTeX XMLCite \textit{V. P. Platonov} and \textit{V. I. Yanchevskii}, Sov. Math., Dokl. 16, 1456--1460 (1975; Zbl 0343.16016); translation from Dokl. Akad. Nauk SSSR 225, 48--51 (1975)
Platonov, V. P.; Yanchevskii, V. I. On Harder’s conjecture. (English. Russian original) Zbl 0333.20035 Sov. Math., Dokl. 16, 424-427 (1975); translation from Dokl. Akad. Nauk SSSR 221, 784-787 (1975). MSC: 20G25 16Kxx 16E20 PDFBibTeX XMLCite \textit{V. P. Platonov} and \textit{V. I. Yanchevskii}, Sov. Math., Dokl. 16, 424--427 (1975; Zbl 0333.20035); translation from Dokl. Akad. Nauk SSSR 221, 784--787 (1975)
Yanchevskii, V. I. The commutator subgroups of simple algebras with surjective reduced norms. (English. Russian original) Zbl 0333.20033 Sov. Math., Dokl. 16, 492-495 (1975); translation from Dokl. Akad. Nauk SSSR 221, 1056-1058 (1975). MSC: 20G15 16Kxx 16E20 PDFBibTeX XMLCite \textit{V. I. Yanchevskii}, Sov. Math., Dokl. 16, 492--495 (1975; Zbl 0333.20033); translation from Dokl. Akad. Nauk SSSR 221, 1056--1058 (1975)