Geodesic

Sommaire du Fascicule no. 1

On singular points of solutions of linear differential systems with polynomial coefficients
p. 3-21
Monotone path-connectedness of $R$-weakly convex sets in the space $C(Q)$
p. 23-32
Cyclic semirings with idempotent noncommutative addition
p. 33-52
The topological Jacobson radical of rings.~II
p. 53-64
Algebraic geometry over algebraic structures.~II. Foundations
p. 65-106
The characterization of integrals with respect to arbitrary Radon measures by the boundedness indices
p. 107-126
Almost primitive elements of free nonassociative algebras of small ranks
p. 127-141
Maximal tori of the Frank algebra
p. 143-154
The normal structure of the unipotent subgroup in Lie type groups and its extremal subgroups
p. 155-168
Classification of matrix subalgebras of length~1
p. 169-188
The algebraic and logical geometries of universal algebras (a~unified approach)
p. 189-204
Dimension polynomials in the generalized difference case
p. 205-222
Regular $S$-acts with primitive normal and antiadditive theories
p. 223-232
Representations of alternative algebras and superalgebras
p. 233-246

Sommaire du Fascicule no. 2

Quotient rings of graded associative rings.~I
p. 3-74
When are all group codes of a~noncommutative group Abelian (a~computational approach)?
p. 75-85
Rolling simplexes and their commensurability.~I. The axiom and criterion of incompressibility and the momentum lemma
p. 87-95
$\mathcal E$-closed groups and modules
p. 97-106
The matrix capacity of a~tensor
p. 107-166
Pseudocharacters on free groups, invariant with respect to some types of endomorphisms
p. 167-176
On primitive Lie algebras
p. 177-182
Categories of bounded $(\mathfrak{sp}(\mathrm S^2V\oplus\mathrm S^2V^*),\mathfrak{gl}(V))$- and $(\mathfrak{sp}(\Lambda^2V\oplus\Lambda^2V^*),\mathfrak{gl}(V))$-modules
p. 183-199
A generalization of the first Malcev theorem on nilpotent semigroups and nilpotency of the wreath product of semigroups
p. 201-221

Sommaire du Fascicule no. 3

Skew linear recurring sequences of maximal period over Galois rings
p. 5-23
Modules over integer group rings of locally soluble groups with minimax restriction
p. 25-37
Some congruences on trioids
p. 39-49
Endomorphism semigroups of some free products
p. 51-60
Every zero adequate ring is an exchange ring
p. 61-66
Pure projective modules over exceptional uniserial noncoherent rings
p. 67-84
Automorphisms of the lattice of all subalgebras of the semiring of polynomials in one variable
p. 85-96
Quadratic forms and quadrics of space over local rings
p. 97-110
Functional representations of semirings
p. 111-227

Sommaire du Fascicule no. 4

Separation of convex sets by extreme hyperplanes
p. 3-12
On linear $\mathcal K$-ordered rings
p. 13-23
A~combinatorial way of counting unicellular maps and constellations
p. 25-52
The semiring of continous $[0,1]$-valued functions
p. 53-82
Paragraded rings and their ideals
p. 83-93
Complexity of computation in finite fields
p. 95-131
On $T$-spaces in a~relatively free two-generated Lie nilpotent associative algebra of index~$4$
p. 133-139
Associative rings with large center
p. 141-144
Weakly regular semigroups of isotone transformations
p. 145-165
Prime lattice matrices
p. 167-179
On applications of associativity of dual compositions in the algebra of Boolean matrices
p. 181-192
An explanation to ``Rolling simplexes and their commensurability'' (field equations in accordance with Tycho Brahe)
p. 193-215
Comultiplication modules over noncommutative rings
p. 217-224

Sommaire du Fascicule no. 5

Asymptotic distribution of the size of a~$d$-dimensional model of an open string
p. 3-20
Subexponential estimates in the height theorem and estimates on numbers of periodic parts of small periods
p. 21-54
On $l$-prime radicals of lattice ordered algebras
p. 55-68
On the geometry of two qubits
p. 69-73
Finiteness of the standard basis of a~$T$-ideal containing Lie nilpotency of index~$4$
p. 75-85
Determinant theory for lattice matrices
p. 87-101
The exponential dichotomy on general approximation scheme
p. 103-127
The atomic theory of left division of two-sided ideals of semirings with unit
p. 129-146
The Heisenberg envelope for the Hochschild algebra of a~finite-dimensional Lie algebra
p. 147-155
A criterion of elementary equivalence of automorphism groups of reduced Abelian $p$-groups
p. 157-163
Endomorphisms of semigroups of invertible nonnegative matrices over ordered rings
p. 165-178
Modules with Nakayama's property
p. 179-185
Framed moduli spaces and tuples of operators
p. 187-209
A connection of series approximations and the basis of the Krylov space in block algorithms of Coppersmith and Montgomery
p. 211-223
The derived $\pi$-length, nilpotent $\pi$-length, and simple $\pi$-length of finite $\pi$-soluble groups
p. 225-235
On isotopies, parastrophies, and orthogonality of quasigroups
p. 237-244

Sommaire du Fascicule no. 6

Optimization problems under $(\max,\min)$-linear equation and/or inequality constraints
p. 3-21
Additive matrix maps that are monotone with respect to the orders induced by group inverse
p. 23-40
Projection matrices revisited: a~potential-growth indicator and the merit of indication
p. 41-63
The length function and matrix algebras
p. 65-173
Topological classification of M\"obius transformations
p. 175-183
The BMV-conjecture over quaternions and octonions
p. 185-222
On the coincidence of the factor and Gondran--Minoux rank functions of matrices over a~semiring
p. 223-232

Sommaire du Fascicule no. 7

Local solarity of suns in normed linear spaces
p. 3-14
Automorphisms of stable linear groups over commutative local rings with~$1/2$
p. 15-30
Endomorphism rings of rigid almost completely decomposable Abelian groups
p. 31-47
Automorphisms of Chevalley groups of type $G_2$ over local rings without~$1/2$
p. 49-66
Positive definite functions as an instrument of mathematical analysis
p. 67-95
Improved bounds for the number of occurrences of elements in linear recurrence sequences over Galois rings
p. 97-115
Orthogonal graded completion of graded semiprime rings
p. 117-150
On the representation of finite rings by matrices over commutative rings
p. 151-163
New properties of the Lie algebra variety~$\mathbf N_2\mathbf A$
p. 165-173
Cascade connections and triangular products of linear automata
p. 175-186
On convex subgroups of groups with the interpolation property
p. 187-199

Sommaire du Fascicule no. 8

Leonid Kulikov
p. 3-8
An Abelian group as a~direct summand of the multiplication group
p. 9-12
Determinability of a~completely decomposable block-rigid torsion-free Abelian group by its automorphism group
p. 13-19
Vector groups with isomorphic holomorphs
p. 21-30
On a~problem related to homomorphism groups in the theory of Abelian groups
p. 31-34
Determinateness of torsion-free Abelian groups by their holomorphs and almost holomorphic isomorphism
p. 35-46
Torsion IF-groups
p. 47-58
Some classes of Hopfian Abelian groups
p. 59-61
Absolute nil-ideals of Abelian groups
p. 63-76
Warfield's duality and Malcev's matrix
p. 77-94
Determination of the direct sums of rational groups by $H$-representations of the endomorphism rings up to equality
p. 95-103
Completely decomposable Abelian groups with clean endomorphism rings
p. 105-108
Torsion Abelian RAI-groups
p. 109-138
Torsion Abelian afi-groups
p. 139-145
Local Abelian torsion-free groups
p. 147-152
To quotient divisible group theory.~I
p. 153-167
Quasi-endomorphism rings with the zero Jacobson radical of almost completely decomposable torsion-free Abelian groups of rank~4
p. 169-175
Quasi-endomorphism rings of strongly indecomposable torsion-free Abelian groups of rank~4 with pseudosocles of rank~1
p. 177-182
On Abelian groups close to $E$-solvable groups
p. 183-219