Geodesic

Sommaire du Fascicule no. 1

Alexandr Alexandrovich Nechaev (7.8.1945--14.11.2014)
p. 3-7
Comparing finite Abelian groups from the standpoint of their cryptographic applications
p. 9-16
Non-Abelian group codes over an arbitrary finite field
p. 17-22
On the multiplicative groups of free and free commutative quasigroups
p. 23-37
On the word problem in the free quasigroups in the varieties of quasigroups isotopic to groups
p. 39-55
Constructions of special radicals of algebras
p. 57-133
Some homomorphic cryptosystems based on nonassociative structures
p. 135-143
The prime radical of alternative rings and loops
p. 145-166
On the completely indecomposable nonnegative matrices and A.\,N.~Kolmogorov's condition
p. 167-172
Grothendieck and Whitehead groups of formal matrix rings
p. 173-203
Cryptographic algorithms on groups and algebras
p. 205-222
On binary digit-position sequences over Galois rings, admitting an effect of reduction of period
p. 223-230
Experimental study of the hypothesis on the order of a~random element of the matrix modular group
p. 231-239

Sommaire du Fascicule no. 2

Averaging and trajectories of a~Hamiltonian system appearing in graphene placed in a~strong magnetic field and a~periodic potential
p. 5-20
On the geometry of quadratic second-order Abel ordinary differential equations
p. 21-34
On the completeness of the Manakov integrals
p. 35-49
Topological invariants for elliptical billiards and geodesics on ellipsoids in the Minkowski space
p. 51-64
The degree of compact multivalued perturbations of Fredholm mappings of positive index and its application to a~certain optimal control problem
p. 65-87
Minimal spanning trees on infinite sets
p. 89-103
On embeddings of topological groups
p. 105-112
Base normal inductive dimension~$\mathrm I$ of cubes
p. 113-124
On the number of nontrivial projective transformations of closed manifolds
p. 125-131
Transitive Lie algebroids. Categorical point of view
p. 133-156
On two geometric problems arising in mathematical physics
p. 157-166
On differential characteristic classes of metrics and connections
p. 167-183
Topological atlas of the Kovalevskaya top in a~double field
p. 185-230

Sommaire du Fascicule no. 3

Argument shift method and sectional operators: applications to differential geometry
p. 5-31
Analyzing the data bank of proteins' space structures (PDB): a~geometrical approach
p. 33-46
On fixed points of acyclic type multivalued maps
p. 47-59
The Newton--Nelson equation on fiber bundles with connections
p. 61-81
On Wood basis for the $\operatorname{mod}p$ Steenrod algebra
p. 83-90
Invariant foliations of nondegenerate bi-Hamiltonian structures
p. 91-111
Liouville integrable generalized billiard flows and Poncelet type theorems
p. 113-152
Lower bounds for the circuit size of partially homogeneous polynomials
p. 153-179
Structure graphs of rings: definitions and first results
p. 181-190
Fomenko invariants in the asymptotic theory of the Navier--Stokes equations
p. 191-212
Reduction and integrability of stochastic dynamical systems
p. 213-249
Hermitian algebraic $K$-theory and the root system~$D$
p. 251-256
Isometry groups of $4$-dimensional nilpotent Lie groups
p. 257-271

Sommaire du Fascicule no. 4

Integrable variable dissipation systems on the tangent bundle of a~multi-dimensional sphere and some applications
p. 3-231

Sommaire du Fascicule no. 5

Aleksandr Aleksandrovich Fomin (on his 65th birthday)
p. 3-9
Determination of Abelian groups by their multiplication groups
p. 11-16
Indecomposable $p$-local torsion-free groups with quadratic and cubic splitting fields
p. 17-29
On determinability of a~completely decomposable torsion-free Abelian group by its automorphism group
p. 31-37
Normal determinability of torsion-free Abelian groups by their holomorphs
p. 39-55
Homomorphisms of rank-$1$ quotient divisible groups
p. 57-60
On some classes of Hopfian Abelian groups and modules
p. 61-68
On finite nonsolvable $5$-primary groups with disconnected Gruenberg--Kegel graph such that $\bigl|\pi\bigl(G / F(G)\bigr)\bigr| \le 4$
p. 69-87
Radical properties of lattice $\mathcal{K}$-ordered algebras
p. 89-93
Determinants of generalized matrices of order~$2$
p. 95-112
Compact groups that are duals of quotient divisible Abelian groups
p. 113-119
Algebraically compact Abelian groups with $\mathrm{UA}$-rings of endomorphisms
p. 121-129
On some properties of endomorphism rings of Abelian groups
p. 131-139
Self-small $\mathrm{SP}$-groups with clean endomorphism rings
p. 141-148
Base fields of $\mathrm{csp}$-rings.~II
p. 149-156
On the quotient divisible group theory.~II
p. 157-196
On the theory of near-vector spaces
p. 197-202
$T$-rings
p. 203-207
On the quasi-endomorphism rings of quasi-decomposable torsion-free Abelian groups of rank~$4$ with a~strongly indecomposable quasi-summand of rank~$2$
p. 209-225
On Abelian groups with commutative commutators of endomorphisms
p. 227-233
On the problem on slow entrance of a flat piston in compressed liquid
p. 235-242

Sommaire du Fascicule no. 6

Indexing and querying character sets in one- and two-dimensional words
p. 3-16
Cyclic semirings with nonidempotent noncommutative addition
p. 17-41
Semirings of continuous $(0,\infty]$-valued functions
p. 43-64
One characterization of the Gasch\"{u}tz subgroup of a~finite soluble group
p. 65-75
Graded quotient rings
p. 77-145
Complexity and structure of circuits for parity functions
p. 147-153
On the depth of $k$-valued logic functions over arbitrary bases
p. 155-158
On Bellman's and Knuth's problems and their generalizations
p. 159-188
On independent families of normal subgroups in free groups
p. 189-206
Groups in which the normal closures of cyclic subgroups have bounded finite Hirsch--Zaitsev rank
p. 207-228
On homogeneous mappings of finitely presented modules over the ring of polyadic numbers
p. 229-235
The Leibniz differential and the Perron--Stieltjes integral
p. 237-258