Lie algebras, decomposable into a sum of an Abelian and a nilpotent subalgebra AP Petravchuk Ukrainian Mathematical Journal 40 (3), 331-334, 1988 | 43 | 1988 |

Closed polynomials and saturated subalgebras of polynomial algebras IV Arzhantsev, AP Petravchuk Ukrainian Mathematical Journal 59 (12), 1783-1790, 2007 | 22 | 2007 |

On closed rational functions in several variables AP Petravchuk, OG Iena arXiv preprint math/0701588, 2007 | 14 | 2007 |

On centralizers of elements in the Lie algebra of the special Cremona group sa (2, k) AP Petravchuk, OG Iena J. Lie Theory 16 (3), 561-567, 2006 | 14 | 2006 |

On nilpotent and solvable Lie algebras of derivations IO Makedonskyi, AP Petravchuk Journal of Algebra 401, 245-257, 2014 | 12 | 2014 |

Finite-dimensional subalgebras in polynomial Lie algebras of rank one IV Arzhantsev, EA Makedonskii, AP Petravchuk Ukrainian Mathematical Journal 63 (5), 827-832, 2011 | 12 | 2011 |

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 | 10 | 2018 |

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 | 10 | 1999 |

On associative algebras which are sum of two almost commutative subalgebras A Petravchuk Publicationes Mathematicae 53 (1-2), 191-206, 1998 | 8 | 1998 |

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 | 7 | 2010 |

On one-sided Lie nilpotent ideals of associative rings VS Luchko, AP Petravchuk arXiv preprint arXiv:0803.0968, 2008 | 7 | 2008 |

Lie algebras associated with modules over polynomial rings AP Petravchuk, KY Sysak Ukrainian Mathematical Journal 69, 1433-1444, 2018 | 6 | 2018 |

Automorphisms and derivations of affine commutative and PI-algebras O Bezushchak, A Petravchuk, E Zelmanov Transactions of the American Mathematical Society 377 (02), 1335-1356, 2024 | 5 | 2024 |

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 | 5 | 2019 |

On behavior of solvable ideals of Lie algebras under outer derivations AP Petravchuk Communications in Algebra® 38 (6), 2311-2316, 2010 | 5 | 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 | 5 | 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 | 5 | 1993 |

Centralizers of elements in Lie algebras of vector fields with polynomial coefficients Y Chapovskyi, D Efimov, A Petravchuk Proceedings of the International Geometry Center 14 (4), 257-270, 2021 | 4 | 2021 |

On Lie algebras consisting of locally nilpotent derivations AP Petravchuk, KY Sysak arXiv preprint arXiv:1608.01490, 2016 | 4 | 2016 |

On finite dimensional Lie algebras of planar vector fields with rational coefficients I Makedonskyi, A Petravchuk arXiv preprint arXiv:1211.4165, 2012 | 4 | 2012 |