Geodesic

Sommaire du Fascicule no. 1

Isomorphisms of graded endomorphism rings of progenerators
p. 3-10
Idempotent Boolean matrices and majorization
p. 11-29
Determination of a class of countable rank torsion-free Abelian groups by their endomorphism rings
p. 31-43
On integrability of the Euler--Poisson equations
p. 45-59
Stochastic matrices and the assessment of the vulnerability of automated systems
p. 61-99
Multiplicative orders on terms
p. 101-107
Differential standard bases under composition
p. 109-134
Limit T-spaces
p. 135-159
A~normal form and schemes of quadratic forms
p. 161-178
The problem of Wi-Fi radio fading simulation: solution and applications
p. 179-187
Gage-equivalent forms of the Schr\"odinger equation for a~hydrogenlike atom in a~nonstationary electric field
p. 189-197
On applying the Littlewood--Richardson rule
p. 199-213
The ideal of separants in the ring of differential polynomials
p. 215-227
Abelian groups as endomorphic modules over their endomorphism ring
p. 229-233
The nonlinear diffusion equation in cylindrical coordinates
p. 235-245

Sommaire du Fascicule no. 2

The Kurosh problem, height theorem, nilpotency of the radical, and algebraicity identity
p. 3-29
The radical RN and the weakly solvable radical of linear groups over associative rings
p. 31-115
Affine symmetry groups in 2D-quasicrystals
p. 117-122
On definability of a~periodic $\mathrm{EndE}^+$-group by its endomorphism group
p. 123-131
Dynamic construction of abstract Voronoi diagrams
p. 133-146
Equilibrium and Pareto-optimality in noisy discrete duels with an arbitrary number of actions
p. 147-155
On identities of right alternative metabelian Grassmann algebras
p. 157-183
Rings over which all modules are semiregular
p. 185-194
Representations of semimodules by sections of sheaves
p. 195-204
Reduced Rickart semirings and their functional representations
p. 205-215
Jordanian plane
p. 217-230

Sommaire du Fascicule no. 3

Small Abelian groups
p. 3-8
Normal subgroups of holomorphs of Abelian groups and almost holomorphic isomorphism
p. 9-16
Homomorphic images of Abelian groups
p. 17-24
Rank-$1$ quotient divisible groups
p. 25-33
csp-rings as a~generalization of rings of pseudo-rational numbers
p. 35-38
On regularity of the center of the endomorphism ring of an Abelian group
p. 39-44
On Euclidean and Pythagorean nearfields
p. 45-50
On $K$-large and generalized $K$-large Abelian groups
p. 51-60
Completely torsion-free, finite-rank, almost decomposable groups with torsion factor
p. 61-67
Semisimple rings on completely decomposable Abelian groups
p. 69-80
The group $\operatorname{Hom}(A,B)$ as an Artinian $\operatorname{E}(B)$- or $\operatorname{E}(A)$-module
p. 81-96
Some generalizations of slender Abelian groups
p. 97-106
Fully transitivity of Abelian groups
p. 107-140
Fuzzy modules with respect to $t$-norm and some of their properties
p. 141-146
Fuzzy linear dynamical systems over fields
p. 147-155
Cryptosystems in automorphism groups of group rings of Abelian groups
p. 157-164
Strictly purely correct torsion-free Abelian groups
p. 165-183
Representations of the first degree of Abelian groups
p. 185-191
T-radicals in the category of Abelian groups
p. 193-208
On subdirect sums of Abelian torsion-free groups of rank~1
p. 209-221
A~category of matrices representing two categories of Abelian groups
p. 223-244
Simple modules over generalized matrix ring
p. 245-247

Sommaire du Fascicule no. 4

Automorphisms of Chevalley groups of types $B_2$ and $G_2$ over local rings
p. 3-29
Cyclic projectors and separation theorems in idempotent convex geometry
p. 31-52
Linear matrix transformations that are monotone with respect to the $\overset\sharp\leq$- or $\overset{\mathrm{cn}}\leq$-order
p. 53-66
Cramer's rule for quaternionic systems of linear equations
p. 67-94
Equations determining Belyi pairs, with applications to anti-Vandermonde systems
p. 95-112
A~note on immanant preservers
p. 113-120
Idempotent matrix lattices over distributive lattices
p. 121-144
Nonnegative matrices as a~tool to model population dynamics: Classical models and contemporary expansions
p. 145-164
Length computation of matrix subalgebras of special type
p. 165-197
On cofactor expansion of determinants of Boolean matrices
p. 199-223
Classification of squared normal operators on unitary and Euclidean spaces
p. 225-232

Sommaire du Fascicule no. 5

Isomorphisms of graded endomorphism rings of graded modules close to free ones
p. 3-18
Burnside-type problems, theorems on height, and independence
p. 19-79
Theoretical aspects of information security
p. 81-102
Subregular characters of the unitriangular group over a~finite field
p. 103-125
Coadjoint orbits of the group~$\operatorname{UT}(7,K)$
p. 127-159
Algebraicity in local rings
p. 161-170
Primitive elements of free nonassociative algebras
p. 171-192
Rings over which all modules are $I_0$-modules
p. 193-200
Monomiality of finite groups with some conditions on conjugacy classes
p. 201-212
Balanced words and dynamical systems
p. 213-224
Image coding with afterwards possible optimal decoding
p. 225-255

Sommaire du Fascicule no. 6

Preface
p. 3-8
On planes trees with a~prescribed number of valency set realizations
p. 9-17
On the generalized Chebyshev polynomials corresponding to plane trees of diameter~4
p. 19-33
Catalog of dessins d'enfants with no more than 4~edges
p. 35-112
Combinatorics of trivalent ribbon graphs with two faces
p. 113-120
Strebel differentials on families of hyperelliptic curves
p. 121-130
Shabat trees of diameter~4: Appendix to a~paper of Zvonkin
p. 131-135
The computation of Belyi pairs of 6-edged dessins d'enfants of genus~3 with automorphism groups of order~12 and~3
p. 137-148
Geometry of plane trees
p. 149-158
Plane trees with nine edges. Catalog
p. 159-195
Foliations generated by differentials of Abelian type
p. 197-205
On trees covering chains or stars
p. 207-215
The Chekhov--Fock parametrization of Teichm\"uller spaces and dessins d'enfants
p. 217-226

Sommaire du Fascicule no. 7

Projective modules in the classical and quantum functional analysis
p. 7-84
Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko's conjecture
p. 85-225

Sommaire du Fascicule no. 8

Geometric approach to stable homotopy groups of spheres. The Adams--Hopf invariants
p. 3-15
Geometric approach to stable homotopy groups of spheres. Kervaire invariants.~II
p. 17-41
Generalized symmetric spaces, Yu.\,P.~Solovyov's formula, and the generalized Hermitian geometry
p. 43-60
On the Cohen--Lusk theorem
p. 61-67
A~necessary and sufficient condition for the global-in-time existence of solutions to stochastic differential and parabolic equations on manifolds
p. 69-76
Theories of bundles with additional structures
p. 77-98
Increasing polyharmonic functions and Cauchy problem
p. 99-103
$D_\infty$-differential $E_\infty$-algebras and spectral sequences of $D_\infty$-differential modules
p. 105-125
Lebesgue measure in infinite dimension as an infinite-dimensional distribution
p. 127-132
Universal Karoubi's characteristic classes of nuclear $C^*$-algebras
p. 133-169
Property~(T) for topological groups and $C^*$-algebras
p. 171-192
On isomorphity of measure-preserving $\mathbb Z^2$-actions that have isomorphic Cartesian powers
p. 193-212
Unitarily covariant maps in approximately finite-dimensional $C^*$-algebras
p. 213-227