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1.
S. I. Mardaev 《Algebra and Logic》1998,37(3):187-191
We deal with the question of whether solutions of modal propositional negative schemes are definable on Kripke models. It
is shown that there exists a formula by which a solution of such a scheme is defined in every Kripke model with the ascending
chain condition, in which the solution exists. We present an algorithm for constructing such a defining formula.
Supported by RFFR grant No. 96-01-01552.
Translated fromAlgebra i Logika, Vol. 37, No. 3, pp. 329–337, May–June, 1998. 相似文献
2.
A. G. Baskakov 《Mathematical Notes》1996,59(6):586-593
Associated with a family of evolution operators in a complex Banach space is a linear unbounded operator, which is studied
with the aid of a semigroup of difference operators and a difference operator in a sequence space. Some formulas for the spectra
of the linear operators in question (in particular, for abstract hyperbolic differential operators) and the spectrum mapping
theorem for the semigroup of difference operators are obtained.
Translated fromMatematicheskie Zametki, Vol. 59, No. 6, pp. 811–820, June, 1996.
This research was supported by the Russian Foundation for Basic Research under grant No. 95-01-00032 and by the International
Science Foundation under grant No. NZA000 and grant No. NZA300. 相似文献
3.
R. I. Grigorchuk 《Mathematical Notes》1995,58(5):1136-1146
We present a formula that expresses the number of admissible words for an arbitrary system of prohibitions in terms of the
generating series. We also indicate applications of this formula to the calculation of the topological entropy of symbolic
systems and to the calculation of growth functions of groups and algebras.
Translated fromMatematicheskie Zametki, Vol. 58, No. 5, pp. 653–668, November, 1995.
This research was partially supported by the Russian Foundation for Basic Research under grant No. 94-01-00820 and by the
International Science Foundation grant MV1000. 相似文献
4.
P. A. Shreiner 《Algebra and Logic》1998,37(1):59-64
It is shown that a logic J
fd
*
characterized by all Kripke frames the domains of all nonmaximal worlds of which are finite lacks the Beth property. The
logic is the first example of an intermediate superintuitionistic logic without the Beth property. The interpolation and the
Beth properties are also proved missing in all predicate superintuitionistic logics which contain J
fd
*
and are contained in a logic characterized by frames of the form〈N
n
, ≤,{Dk}k∈N
n〉.
Supported by the Russian Foundation for Humanities, grant No. 97-03-04089.
Translated fromAlgebra i Logika, Vol. 37, No. 1, pp. 107–117, January–February, 1998. 相似文献
5.
L. L. Maksimova 《Algebra and Logic》2007,46(5):341-353
The interpolation property in extensions of Johansson’s minimal logic is investigated. The construction of a matched product
of models is proposed, which allows us to prove the interpolation property in a number of known extensions of the minimal
logic. It is shown that, unlike superintuitionistic, positive, and negative logics, a sum of J-logics with the interpolation property CIP may fail to possess CIP, nor even the restricted interpolation property.
Supported by RFBR grant No. 06-01-00358, by INTAS grant No. 04-77-7080, and by the Council for Grants (under RF President)
and State Aid of Fundamental Science Schools, project NSh-4787.2006.1.
__________
Translated from Algebra i Logika, Vol. 46, No. 5, pp. 627–648, September–October, 2007. 相似文献
6.
It is shown that, in a certain statistical sense, in almost every group withm generators andn relations (withm andn chosen), any subgroup generated by less thanm elements (which need not belong to the system of generators of the whole group) is free. In particular, this solves Problem
11.75 from the Kourov Notebook. In the proof we introduce a new assumption on the defining relations stated in terms of finite
marked groups.
Translated fromMatematicheskie Zametki, Vol. 59, No. 4, pp. 489–496, April, 1996.
The research of the second author was partially supported by the Russian Foundation for Basic Research under grant No. 94-0101541
and by the International Science Foundation under grant No. MID000. 相似文献
7.
V. F. Murzina 《Algebra and Logic》2005,44(5):313-325
An axiomatization is furnished for a polymodal logic of strictly linearly ordered A-frames: for frames of this kind, we consider
a language of polymodal logic with two modal operators, □< and □≺. In the language, along with the operators, we introduce a constant β, which describes a basis subset. In the language with
the two modal operators and constant β, an Lα-calculus is constructed. It is proved that such is complete w.r.t. the class
of all strictly linearly ordered A-frames. Moreover, it turns out that the calculus in question possesses the finite-model
property and, consequently, is decidable.
__________
Translated from Algebra i Logika, Vol. 44, No. 5, pp. 560–582, September–October, 2005.
Supported by RFBR grant No. 03-06-80178, by the Council for Grants (under RF President) and State Aid of Fundamental Science
Schools, project NSh-2069.2003.1, and by INTAS grant No. 04-77-7080. 相似文献
8.
A new method is proposed for finding asymptotics ast → ∞ of the solutions of the Cauchy problem for nonlinear evolution equations with nonsmall initial data.
Translated fromMatematicheskie Zametki, Vol. 59, No. 6, pp. 855–864, June, 1996.
This research was supported by the Russian Foundation for Basic Research under grant No. 93-011-134 and by the International
Science Foundation under grant No. BX000. 相似文献
9.
M. V. Semenova 《Algebra and Logic》2006,45(4):248-253
Repnitskii proved that any lattice embeds in a subsemigroup lattice of some commutative, cancellative, idempotent free semigroup
with unique roots. In that proof, use is made of a result by Bredikhin and Schein stating that any lattice embeds in a suborder
lattice of suitable partial order. Here, we present a direct proof of Repnitskii’s result which is independent of Bredikhin-Schein’s,
thus giving the answer to the question posed by Shevrin and Ovsyannikov.
Supported by INTAS grant No. 03-51-4110; RF Ministry of Education grant No. E02-1.0-32; Council for Grants (under RF President)
and State Aid of Fundamental Science Schools, project NSh-2112.2003.1; a grant from the Russian Science Support Foundation;
SB RAS Young Researchers Support project No. 11.
__________
Translated from Algebra i Logika, Vol. 45, No. 4, pp. 436–446, July–August, 2006. 相似文献
10.
O. V. Besov 《Mathematical Notes》1998,64(3):303-315
We obtain sufficient conditions on a domainG ⊂ ℝn for functions defined onG to be extendable by zero to the entire space ℝn with smoothness preserved in an integral norm.
Translated fromMatematicheskie Zametki, Vol. 64, No. 3, pp. 351–365, September, 1998.
This research was supported by the Russian Foundation for Basic Research under grant No. 96-01-00243 and by program “Leading
Science Schools” under grant No. 96-15-96102. 相似文献
11.
V. M. Murzina 《Algebra and Logic》2007,46(6):409-418
We study into the question whether calculi associated with Ershov topological spaces possess Craig’s interpolation property.
Supported by RFBR grant No. 06-01-00358, by INTAS grant No. 04-77-7080, and by the Council for Grants (under RF President)
and State Aid of Fundamental Science Schools, project NSh-4787.2006.1.
__________
Translated from Algebra i Logika, Vol. 46, No. 6, pp. 745–762, November–December, 2007. 相似文献
12.
Infinite series of boundary conditions that are consistent with even-order higher symmetries and ensure the integrability
of a Burgers type equation are constructed.
Translated fromMatematicheskie Zametki, Vol. 60, No. 6, pp. 888–901, December, 1996.
This research was supported by the Russian Foundation for Basic Research under grant No. 93-011-16008 and by the International
Science Foundation under grant Nos. MLY00 and RK2000. 相似文献
13.
V. S. Rabinovich 《Mathematical Notes》1995,58(1):722-734
We apply the pseudodifferential operator technique to the study of algebras of singular operators on complicated contours.
This technique is used to construct a symbolic calculus for theC
*-algebra generated by singular integral operators whose coefficients may have singularities of the second kind on complicated
contours; the curves forming a node are not required to have a tangent at the node.
Translated fromMatematicheskie Zametki, Vol. 58, No. 1, pp. 67–85, July, 1995.
This work was partially supported by the Russian Foundation for Basic Research under grant No. 93-04-691. 相似文献
14.
L. L. Maksimova 《Algebra and Logic》1999,38(3):171-180
Projective Beth properties in superintuitionistic and normal modal logics are considered. Their interrelations and connections
with interpolation properties of the logics are established. Algebraic counterparts for the projective Beth properties are
found out.
Supported by the Russian Humanitarian Science Foundation, grant No. 97-03-04089.
Translated fromAlgebra i Logika, Vol. 38, No. 3, pp. 316–333, May–June, 1999. 相似文献
15.
L. L. Maksimova 《Algebra and Logic》2005,44(6):407-421
We study into the interpolation property and the projective Beth property in extensions of Johansson's minimal logic. A family
of logics of some special form is considered. Effective criteria are specified which allow us to verify whether an arbitrary
logic in this family has a given property.
Supported by RFBR grant No. 03-06-80178, by the Council for Grants (under RF President) and State Aid of Fundamental Science
Schools, project NSh-2069.2003.1, and by INTAS grant No. 04-77-7080.
__________
Translated from Algebra i Logika, Vol. 44, No. 6, pp. 726–750, November–December, 2005. 相似文献
16.
V. A. Artamonov 《Mathematical Notes》1996,59(4):356-360
We describe the structure of finitely generated modules over general quantum Laurent polynomials and prove that Artin modules
over general quantum Laurent polynomials are cyclic.
Translated fromMatematicheskie Zametki, Vol. 59, No. 4, pp. 497–503, April, 1996.
This research was partially supported by the Russian Foundation for the Basic Research under grant No. 93-011-1544 and by
the INTAS program under grant No. 93-2618. 相似文献
17.
This article examines some aspects of the one-dimensional inverse problem of magnetotelluric sounding. A uniqueness theorem
is proved in the presence ofS-surfaces. A numerical algorithm based on transformation formulas is proposed.
This research was partially supported by Russian Foundation for Basic Research (grant No. 96-01-00410) and by the State Scientific-Technical
Program “Future Information Technologies” (grant No. 0201.06.010).
Translated from Chislennye Metody v Matematicheskoi Fizike, Moscow State University, pp. 53–66, 1998. 相似文献
18.
M. V. Semenova 《Algebra and Logic》2006,45(2):124-133
V. B. Repnitskii showed that any lattice embeds in some subsemilattice lattice. In his proof, use was made of a result by
D. Bredikhin and B. Schein, stating that any lattice embeds in the suborder lattice of a suitable partial order. We present
a direct proof of Repnitskii’s result, which is independent of Bredikhin—Schein’s, giving the answer to a question posed by
L. N. Shevrin and A. J. Ovsyannikov. We also show that a finite lattice is lower bounded iff it is isomorphic to the lattice
of subsemilattices of a finite semilattice that are closed under a distributive quasiorder.
Supported by INTAS grant No. 03-51-4110; RF Ministry of Education grant No. E02-1.0-32; Council for Grants (under RF President)
and State Aid of Fundamental Science Schools, project NSh-2112.2003.1; a grant from the Russian Science Support Foundation;
SB RAS Young Researchers Support project No. 11.
__________
Translated from Algebra i Logika, Vol. 45, No. 2, pp. 215–230, March–April, 2006. 相似文献
19.
E. P. Vdovin 《Algebra and Logic》2007,46(2):90-119
In the paper we work to complete the classification of Carter subgroups in finite almost simple groups. In particular, it
is proved that Carter subgroups of every finite almost simple group are conjugate. Based on our previous results, together
with those obtained by F. Dalla Volta, A. Lucchini, and M. C. Tamburini, as a consequence we derive that Carter subgroups
of every finite group are conjugate.
Supported by RFBR grant No. 05-01-00797; by the Council for Grants (under RF President) for Support of Young Russian Scientists
via projects MK-1455.2005.1 and MK-3036.2007.1; by SB RAS Young Researchers Support grant No. 29; via Integration Project
No. 2006.1.2.
__________
Translated from Algebra i Logika, Vol. 46, No. 2, pp. 157–216, March–April, 2007. 相似文献
20.
V. E. Plisko 《Mathematical Notes》1997,61(2):212-220
Semantics of predicate formulas based on the notion of modified realizability for arithmetic formulas and interpretations
of the language of arithmetic in all finite types are considered. For a number of natural constructive interpretations, the
corresponding predicate logic of modified realizability is proved to be nonarithmetical.
Translated fromMatematicheskie Zametki, Vol. 61, No. 2, pp. 259–269, February, 1997.
This research was supported by the Russian Foundation for Basic Research under grant No. 95-01-00416 and by the International
Science Foundation under grant No. NFQ000.
Translated by V. N. Dubrovsky 相似文献