Selected
publications
- Math. Review MR2752655 (2011j:13040) (with Prokof'ev P. G. Locally nilpotent derivations and
Nagata-type automorphisms of a polynomial algebra. (Ukrainian) Ukrainian. Mat. J. 61 (2009), no. 8,
1011--1024; translation in Ukrainian Math. J. 61 (2009), no. 8, 1199-1214, 13N15 (14R10)
- Math. Review MR2489907 (2010c:20035) (with Morozov, D.) Finite-state conjugation of linear
functions over the ring of 2-adic integers. (Ukrainian) Dopovidi NAN Ukraine Mat. Prirodozn. Tekh.
Nauki 2008, no. 9, 7-11.
- Math. ReviewMR2197809 (2006j:14013) On generators of the tame invertible polynomial maps
group. Internat. J. Algebra Comput. 15 (2005), no. 5-6, 851-867.
- Generating properties of biparabolic invertible polynomial maps in three variables Buletinul
Academiei de stiinte a republici Moldova, matematica. - 2004. - v. 41. - # 2. - p. 37-43.
- Generating properties of biparabolic polynomial transformations of affine spaces // Bulletin of
the University of Kyiv, series: physics & mathematucs - 2004. - v. 3. - p. 3-7.
- (with Ya. Lavrenuk) Automorphisms of group of Jonqui\'{e}r over finite fields
// Bulletin of the University of Kyiv, series: physics & mathematucs -- 2003. - Aei. 4. - N. 1-6.
- On the structure of closed supergroups $Sp_{2n}$ in a group of polynomial automorphisms of a
somplectic space Dopovidi NAN Ukraine - # 2. - 2003. - p. 15-21.
- Generating properties of triangular and bitriangular birational automorphisms of an affine
space Dopovidi NAN Ukraine # 11, ser. algebra, - 2002. - p. 7-22.
- On affine-split tame invertible polynomial maps in three variables // Buletinul Academiei de
stiinte a republici Moldova, matematica. -2002. - v. 39. - # 2. - p. 37-43.
- Some kinds of maximality properties of the affine group //
Ukrainian Mathematical Congress Third International algebraic conference in Ukraine. Algebraic structures
and their applications. Proceedings- Kyiv - 2002. - p. 173-189.
- Generating properties of triangular and bitriangular
birational automorphisms of an affine space ,
Dopovidi.National. Academy of Sciences of Ukraine, 2002 ,N 11, p.7-22
- Every regular automorphism of the affine Cremona group is inner Journal of Pure and
Applied Algebra 157 (2001) 115-119.
- On endomorphisms of translation modules of polynomials, Ukrainian. Mat. J.,1999,N9.
- On automorphisms of block-triangular polynomial translation group, Journal of Pure
and Applied Algebra , 137(1999) p.103-123.
- On transitivity of action of biregular transformation groups, which contains affine
subgroup, Dopov. Nat. Academy Nauk of Ukraine, 1995,N1,p.5-7
- On isomorphisms of wreath products of groups, Ukrainian. Mat. J. 1994,46, N 6 ,p. 64-68.
- On automorphisms of iterated wreath products of abelian p-groups, Ukrainian. Mat. J. V.43
(1991), No 7-8, p.889-894
- Method of choosing averages and its application to the estimation of the results of
experiments on artificial increasing of precipitation Trudy UKR.NIGMI
vyp.237,1990,p.36-48.
- Structure of automorphism group of Sylov p- subgroup of symmetrical Ukrainian. Mat. J. 1984,
N 6,p. 688-694.
- Structure of group of automorphisms of nonstandard wreath product of groups.
Ukrainian. Mat. J. 1984 , N2,p. 143-148.
Teaching text books
- (with Oliynyk B.V.)
Base of discrete mathematics (for students of computer sciences)
Published at the University "Kyiv-Mohyla academy" (Vydavnychyi Dim)
ISBN ISBN 978-966-518-484-3, Kyiv-2009, 160 p.
- (with Oliynyk B.V.) Linear algebra and analytical geometry
(for students of appl. math. and computer sciences) Published at the University "Kyiv-Mohyla academy"
(Vydavnychyi Dim), ISBN 978-966-518-539-0, Kyiv-2010, 175 p.
Teaching courses
- Mathematical logic and Algorithm theory,
- Complexity of algorithms,
- Coding theory,
- Cryptography
Revised:
Ρ³χενό 13, 2012.
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