RUS  ENG Full version

The issue is dedicated to Alexei Ivanovich Kostrikin

Mathematics
	To the 60th anniversary of A. I. Kostrikin		3
	The Horrocks theorem for noncommutative rings V. A. Artamonov		5
	Subgroups of free Burnside groups of odd composite period S. V. Ivanov		7
	On identities in Lie algebras of vector fields A. A. Kirillov		11
	Multiplicative matrices in Hopf superalgebras Yu. I. Manin		13
	On the representability of finitely generated $PI$-algebras by matrices V. T. Markov		17
	Isomorphisms of endomorphism rings of modules that are close to free A. V. Mikhalev		20
	Efficient embeddings of countable groups A. Yu. Ol'shanskii		28
	Inclusions of varieties that are generated by simple Lie algebras Yu. P. Razmyslov		34
	Invertible elements of semirelatives and relatives L. A. Skornyakov		37
	Orthogonal decompositions of Lie algebras of the type $A_{p^n-1}$ and $D_n$ with a finite number of classes of similar invariant sublattices D. N. Ivanov		40
	Prym varieties of hyperelliptic curves and their applications to nonlinear equations L. V. Katzarkov, D. O. Orlov		43
	Maximal singularities on the Fano variety $V_6^3$ A. V. Pukhlikov		47
	Simplicity theorems for Lie algebras of derivations of commutative rings S. M. Skryabin		51
	The finite basis property of varieties of Lie algebras over a field of characteristic zero L. V. Tsypunov		54
	Sandwiches in Lie algebras A. D. Chanyshev		57
Mechanics
	Universal characteristic function and the moving frame method in the dynamics of systems with nonintegrable constraints Ya. V. Tatarinov		60
	Flow of two-layer axisymmetric jets with preliminary rotation V. E. Epikhin, G. M. Sisoev, V. Ya. Shkadov		67
Short notes
	Equivalence under diffeomorphisms of complements to compact sets in Euclidean spaces M. G. Dzhermakyan		72
	The completed iterated hyperspace functor R. È. Mirzakhanyan		75
	A problem with an oblique derivative in a domain with edges Nguen Tkhan' Nam		77
	Weak $p$-points can, but need not be $o$-points S. A. Logunov		79
	The differentiability space of a product measure M. U. Khafizov		81
	Spectral asymptotics for an eigenvalue problem that is nonlinearly dependent on the parameter Z. E. Tsikhistavi		84
	Application of a pseudodifferential operator for estimating the rate of wave propagation in a problem in mechanics A. A. Lokshin, E. A. Sagomonyan		87
	On non-sliding conditions of two–legged apparatus at beginning of its motion Т. M. Nguуen		90
	Stability of interface between two heavy viscoelastic layers D. V. Georgievskii		94
	An estimate for the solution of a degenerate parabolic equation R. Yu. Nabokov		97
	Scientific research seminar on algebra		100