Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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1989, Number 2  

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
Ď. M. Nguˇen
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
 
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