Anatoliy Petravchuk
Anatoliy Petravchuk
Kyiv Taras Shevchenko University
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Lie algebras, decomposable into a sum of an Abelian and a nilpotent subalgebra
AP Petravchuk
Ukrainian Mathematical Journal 40 (3), 331-334, 1988
Closed polynomials and saturated subalgebras of polynomial algebras
IV Arzhantsev, AP Petravchuk
Ukrainian Mathematical Journal 59 (12), 1783, 2007
Finite-dimensional subalgebras in polynomial Lie algebras of rank one
IV Arzhantsev, EA Makedonskii, AP Petravchuk
Ukrainian Mathematical Journal 63 (5), 827-832, 2011
On closed rational functions in several variables
AP Petravchuk, OG Iena
arXiv preprint math/0701588, 2007
On nilpotent and solvable Lie algebras of derivations
IO Makedonskyi, AP Petravchuk
Journal of Algebra 401, 245-257, 2014
On centralizers of elements in the Lie algebra of the special Cremona group sa (2, k)
AP Petravchuk, OG Iena
Journal of Lie Theory 16 (3), 561-567, 2006
On the sum of an almost abelian Lie algebra and a Lie algebra finite-dimensional over its center
AP Petravchuk
Ukrainian Mathematical Journal 51 (5), 707-715, 1999
On pairs of commuting derivations of the polynomial ring in one or two variables
AP Petravchuk
Linear algebra and its applications 433 (3), 574-579, 2010
On one-sided Lie nilpotent ideals of associative rings
VS Luchko, AP Petravchuk
arXiv preprint arXiv:0803.0968, 2008
On associative algebras which are sum of two almost commutative subalgebras
A Petravchuk
Publicationes Mathematicae 53 (1-2), 191-206, 1998
On behavior of solvable ideals of Lie algebras under outer derivations
AP Petravchuk
Communications in AlgebraŽ 38 (6), 2311-2316, 2010
On incidence modulo ideal rings
MA Dokuchaev, VV Kirichenko, BV Novikov, AP Petravchuk
Journal of Algebra and Its Applications 6 (04), 553-586, 2007
On π-length of finite π-solvable groups
NS Chernikov, AP Petravchuk
Infinite Groups and Related Algebraic Structures: Works of Institute of Math …, 1993
Wildness of the problem of classifying nilpotent Lie algebras of vector fields in four variables
VM Bondarenko, AP Petravchuk
Linear Algebra and its Applications 568, 165-172, 2019
Lie algebras associated with modules over polynomial rings
AP Petravchuk, KY Sysak
Ukrainian Mathematical Journal 69 (9), 1433-1444, 2018
Wildness of the problems of classifying two-dimensional spaces of commuting linear operators and certain Lie algebras
V Futorny, T Klymchuk, AP Petravchuk, VV Sergeichuk
Linear Algebra and its Applications 536, 201-209, 2018
On nilpotent Lie algebras of derivations of fraction fields
AP Petravchuk
arXiv preprint arXiv:1601.04313, 2016
On finite dimensional Lie algebras of planar vector fields with rational coefficients
I Makedonskyi, A Petravchuk
arXiv preprint arXiv:1211.4165, 2012
On the group of Lie-orthogonal operators on a Lie algebra
SV Bilun, DV Maksimenko, AP Petravchuk
Methods of Functional Analysis and Topology 17 (03), 199-203, 2011
A characterization of periodic locally solvable groups whose Sylow subgroups are solvable or have a finite exponent
NS Chernikov, AP Petravchuk
Ukrainian Mathematical Journal 39 (6), 619-624, 1987
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