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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

1978, Volume 148

| General information | Contents |


Algebra, number theory and their applications


Preface
4
Behavior of theta-series of genus $n$ of indeterminate quadratic forms under modular substitution
A. N. Andrianov, G. N. Maloletkin
5
Complementary and dual torsions
V. A. Andrunakievich, Yu. M. Ryabukhin
16
Rationality of a class of tori
M. I. Bashmakov, A. L. Chistov
27
Algebraically closed and simple Lie algebras
L. A. Bokut'
30
Subgroups of the general linear group over a semilocal ring that contain a group of diagonal matrices
Z. I. Borevich, N. A. Vavilov
43
The index of net subgroups in the general and special linear groups over a Dedekind ring
Z. I. Borevich, E. V. Dybkova
58
On the classification of integral even unimodular 24-dimensional quadratic forms
B. B. Venkov
65
The reciprocity law in an algebraic number field
S. V. Vostokov
77
Related kinds of simple forms of crystals
R. V. Galiulin
82
Representations of finite groups over a complete discrete valuation ring
P. M. Gudivok
96
On a property of Fedorov groups in Lobachevsky space
I. S. Gutsul, V. S. Makarov
106
Combinatorial and metric theory of planigons
B. N. Delone, N. P. Dolbilin, M. I. Shtogrin
109
Deformations of the Lie algebra $W_1(m)$
A. S. Dzhumadil'daev, A. I. Kostrikin
141
The semigroup of divisors of a commutative ring
Yu. A. Drozd
156
Quasi-Frobenius rings and Gorenstein orders
V. V. Kirichenko
168
Polyquivers of infinite type
L. A. Nazarova
175
Polyquivers of finite type
L. A. Nazarova, S. A. Ovsienko, A. V. Roiter
190
A new derivation of a formula for the number of classes of binary quadratic forms of a negative discriminant in the function-field case
A. G. Postnikov
195
Roots of integral quadratic forms
A. V. Roiter
201
Multidimensional sails
S. S. Ryshkov
211
On Minkowski's conjecture for large $n$
B. F. Skubenko
218
Monomial minimal irreducible groups
D. A. Suprunenko
225
Structure of projective modules over rings of polynomials in the case of a noncommutative ring of coefficients
A. A. Suslin
233
Galois theory for sheaves of sets
A. V. Yakovlev
253


© Steklov Math. Inst. of RAS, 2025