Bodnarchuk, Yu. V.; Prokof’ev, P. H. Locally nilpotent derivations and Nagata-type automorphisms of a polynomial algebra. (Ukrainian, English) Zbl 1224.14015 Ukr. Mat. Zh. 61, No. 8, 1011-1024 (2009); translation in Ukr. Math. J. 61, No. 8, 1199-1214 (2009). MSC: 14R10 14E07 20D30 PDFBibTeX XMLCite \textit{Yu. V. Bodnarchuk} and \textit{P. H. Prokof'ev}, Ukr. Mat. Zh. 61, No. 8, 1011--1024 (2009; Zbl 1224.14015); translation in Ukr. Math. J. 61, No. 8, 1199--1214 (2009) Full Text: DOI
Bodnarchuk, Yu. V.; Bratyk, O. V. Unitary representations of the three dimensional unitriangular polynomial transformation group. (English) Zbl 1164.14301 Nauk. Zap., Kyïv 2008, No. 74, 7-9 (2008). MSC: 14R10 20G05 PDFBibTeX XMLCite \textit{Yu. V. Bodnarchuk} and \textit{O. V. Bratyk}, Nauk. Zap., Kyïv 2008, No. 74, 7--9 (2008; Zbl 1164.14301)
Bodnarchuk, Yuriy On generators of the tame invertible polynomial maps group. (English) Zbl 1085.14050 Int. J. Algebra Comput. 15, No. 5-6, 851-867 (2005). MSC: 14R10 14E07 20F05 PDFBibTeX XMLCite \textit{Y. Bodnarchuk}, Int. J. Algebra Comput. 15, No. 5--6, 851--867 (2005; Zbl 1085.14050) Full Text: DOI
Bodnarchuk, Yurij V. Generating properties of biparabolic polynomial transformations of affine spaces. (Ukrainian. English summary) Zbl 1075.14526 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2004, No. 3, 11-15 (2004). MSC: 14R10 14E07 PDFBibTeX XMLCite \textit{Y. V. Bodnarchuk}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2004, No. 3, 11--15 (2004; Zbl 1075.14526)
Bodnarchuk, Yu. Generating properties of biparabolic invertible polynomial maps in three variables. (English) Zbl 1076.14083 Bul. Acad. Ştiinţe Repub. Mold., Mat. 2004, No. 1(44), 34-39 (2004). Reviewer: Vesselin Drensky (Sofia) MSC: 14R10 14E07 13B10 PDFBibTeX XMLCite \textit{Yu. Bodnarchuk}, Bul. Acad. Științe Repub. Mold., Mat. 2004, No. 1(44), 34--39 (2004; Zbl 1076.14083)
Bodnarchuk, Yurij V.; Lavrenyuk, Yaroslav V. Automorphisms of Jonquiear’s type groups over finite fields. (Ukrainian. English summary) Zbl 1073.14563 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2003, No. 4, 9-14 (2003). MSC: 14R10 14E07 PDFBibTeX XMLCite \textit{Y. V. Bodnarchuk} and \textit{Y. V. Lavrenyuk}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2003, No. 4, 9--14 (2003; Zbl 1073.14563)
Bodnarchuk, Yurij V. On the structure of closed subgroups of group of the polynomial transformation affine space which contain \(\text{SL}_n\). (Ukrainian. English summary) Zbl 1070.14529 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2003, No. 3, 9-14 (2003). MSC: 14R10 14E07 20D30 PDFBibTeX XMLCite \textit{Y. V. Bodnarchuk}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2003, No. 3, 9--14 (2003; Zbl 1070.14529)
Bodnarchuk, Yurij V. Bitriangular polynomial automorphisms of affine spaces \(A_n\). (Ukrainian. English summary) Zbl 1073.14562 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2003, No. 2, 9-13 (2003). MSC: 14R10 14E07 PDFBibTeX XMLCite \textit{Y. V. Bodnarchuk}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2003, No. 2, 9--13 (2003; Zbl 1073.14562)
Bodnarchuk, Yuriy Generating properties of invertible polynomial maps in three variables which have a small compositional-triangular length. (English) Zbl 1070.14060 Visn. L’viv. Univ., Ser. Mekh.-Mat. 61, 26-36 (2003). Reviewer: Olaf Teschke (Berlin) MSC: 14R10 14E07 PDFBibTeX XMLCite \textit{Y. Bodnarchuk}, Visn. L'viv. Univ., Ser. Mekh.-Mat. 61, 26--36 (2003; Zbl 1070.14060)
Bodnarchuk, Yu. Some kinds of maximality properties of the affine group. (English) Zbl 1099.14050 Ukrainian mathematical congress – 2001. Algebraic structures and their applications. Proceedings of the third international algebraic conference held in framework of the Ukrainian mathematical congress, Kiev, Ukraine, July 2–8, 2001. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 966-02-2777-9). 173-189 (2002). MSC: 14R10 14E07 20G15 PDFBibTeX XMLCite \textit{Yu. Bodnarchuk}, in: Ukraïns'kyj matematychnyj kongres -- 2001. Pratsi. Algebraïchni struktury ta ïkh zastosuvannya. Kyïv: Instytut Matematyky NAN Ukraïny. 173--189 (2002; Zbl 1099.14050)
Bodnarchuk, Yu. V. The affine group as a subgroup of biregular transformation group of an affine space. (Ukrainian. English summary) Zbl 1072.14535 Nauk. Zap., Kyïv 2002, No. 20, 6-10 (2002). MSC: 14R10 14E07 20G15 PDFBibTeX XMLCite \textit{Yu. V. Bodnarchuk}, Nauk. Zap., Kyïv 2002, No. 20, 6--10 (2002; Zbl 1072.14535)
Bodnarchuk, Yu. V. On affine-split tame invertible polynomial maps in three variables. (English) Zbl 1067.14062 Bul. Acad. Ştiinţe Repub. Mold., Mat. 2002, No. 2(39), 37-43 (2002). MSC: 14R10 14E07 PDFBibTeX XMLCite \textit{Yu. V. Bodnarchuk}, Bul. Acad. Științe Repub. Mold., Mat. 2002, No. 2(39), 37--43 (2002; Zbl 1067.14062)
Bodnarchuk, Yu. V. Generating properties of triangle and bitriangle birational automorphisms of an affine space. (Ukrainian. English summary) Zbl 1029.20020 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2002, No. 11, 7-12 (2002). Reviewer: A.P.Petravchuk (Kyïv) MSC: 20G20 14R10 14E07 20B27 20F05 PDFBibTeX XMLCite \textit{Yu. V. Bodnarchuk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2002, No. 11, 7--12 (2002; Zbl 1029.20020)
Bodnarchuk, Yu. V. On the structure of closed subgroups of the affine Cremona group which contain \(\text{SL}_n\). (Ukrainian. English summary) Zbl 1069.14506 Nauk. Zap., Kyïv 2001, No. 19, 9-12 (2001). MSC: 14R10 14E07 PDFBibTeX XMLCite \textit{Yu. V. Bodnarchuk}, Nauk. Zap., Kyïv 2001, No. 19, 9--12 (2001; Zbl 1069.14506)
Bodnarchuk, Yurij V. An arbitrary nonlinear automorphism of the affine space \(A^3\) with the affine group generate the group of the tame automorphisms \(A^3\). (Ukrainian. English summary) Zbl 0993.14024 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2001, No. 3, 11-15 (2001). MSC: 14R20 14E07 PDFBibTeX XMLCite \textit{Y. V. Bodnarchuk}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2001, No. 3, 11--15 (2001; Zbl 0993.14024)
Bodnarchuk, Yurij Some extreme properties of the affine group as an automophism group of the affine space. (English) Zbl 0994.14008 Chajda, I. (ed.) et al., Contributions to general algebra 13. Proceedings of the 60th workshop on general algebra “60. Arbeitstagung Allgemeine Algebra”, Dresden, Germany, June 22-25, 2000 and of the summer school ’99 on general algebra and ordered sets, Velké Karlovice, Czech Republic, August 30-September 4, 1999. Klagenfurt: Verlag Johannes Heyn. Contrib. Gen. Algebra. 13, 9-22 (2001). Reviewer: Li Fu-an (Beijing) MSC: 14E07 14R10 20G15 PDFBibTeX XMLCite \textit{Y. Bodnarchuk}, Contrib. Gen. Algebra 13, 9--22 (2001; Zbl 0994.14008)
Bodnarchuk, Yu. Every regular automorphism of the affine Cremona group is inner. (English) Zbl 0991.14009 J. Pure Appl. Algebra 157, No. 1, 115-119 (2001). Reviewer: G.Freudenburg (Evansville) MSC: 14E07 14R10 20F28 PDFBibTeX XMLCite \textit{Yu. Bodnarchuk}, J. Pure Appl. Algebra 157, No. 1, 115--119 (2001; Zbl 0991.14009) Full Text: DOI
Bodnarchuk, Yu. On automorphisms of block-triangular polynomial translation groups. (English) Zbl 0946.14037 J. Pure Appl. Algebra 137, No. 2, 103-123 (1999). Reviewer: T.Krasiński (Łódź) MSC: 14R10 14E07 PDFBibTeX XMLCite \textit{Yu. Bodnarchuk}, J. Pure Appl. Algebra 137, No. 2, 103--123 (1999; Zbl 0946.14037) Full Text: DOI