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1.
2.
V. F. Murzina 《Algebra and Logic》2008,47(6):405-419
Using the language of temporal logic, we construct a decidable calculus L* α and prove that the calculus is complete w.r.t.
the class of all strictly linearly ordered α-frames.
Supported by RFBR (project No. 06-01-00358) and by the Council for Grants (under RF President) and State Aid of Leading Scientific
Schools (grant NSh-335.2008.1).
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Translated from Algebra i Logika, Vol. 47, No. 6, pp. 723–749, November–December, 2008. 相似文献
3.
A. V. Karpenko 《Algebra and Logic》2008,47(6):395-404
Conditions are specified which are necessary and sufficient for a logic over K4 to possess the weak interpolation property.
For this goal to be met, simple transitive modal algebras are described, and we establish a criterion for the class of such
algebras to be amalgamable. For extensions of K4, the weak interpolation property is proved decidable.
Supported by RFBR (project No. 06-01-00358) and by the Council for Grants (under RF President) and State Aid of Leading Scientific
Schools (grant NSh-335.2008.1).
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Translated from Algebra i Logika, Vol. 47, No. 6, pp. 705–722, November–December, 2008. 相似文献
4.
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.
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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
5.
The following results are proved. In Theorem 1, it is stated that there exist both finitely presented and not finitely presented
2-generated nonfree groups which are k-free-like for any k ⩾ 2. In Theorem 2, it is claimed that every nonvirtually cyclic (resp., noncyclic and torsion-free) hyperbolic m-generated group is k-free-like for every k ⩾ m + 1 (resp., k ⩾ m). Finally, Theorem 3 asserts that there exists a 2-generated periodic group G which is k-free-like for every k ⩾ 3.
Supported by NSF (grant Nos. DMS 0455881 and DMS-0700811). (A. Yu. Olshanskii, M. V. Sapir)
Supported by RFBR project No. 08-01-00573. (A. Yu. Olshanskii)
Supported by BSF grant (USA–Israel). (M. V. Sapir)
Translated from Algebra i Logika, Vol. 48, No. 2, pp. 245–257, March–April, 2009. 相似文献
6.
It is proved that finite simple groups L4(2m), m ⩾ 2, and U4(2m), m ⩾ 2, are, up to isomorphism, recognized by spectra, i.e., sets of their element orders, in the class of finite groups.
As a consequence the question on recognizability by spectrum is settled for all finite simple groups without elements of order
8.
Supported by RFBR (grant Nos. 05-01-00797 and 06-01-39001), by SB RAS (Complex Integration project No. 1.2), and by the Ministry
of Education of China (Project for Retaining Foreign Expert).
Supported by NSF of Chongqing (CSTC: 2005BB8096).
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Translated from Algebra i Logika, Vol. 47, No. 1, pp. 83–93, January–February, 2008. 相似文献
7.
K. Navickis 《Lithuanian Mathematical Journal》2007,47(4):436-461
We consider some intrinsic normalizations of a nonholonomic hypersurface with m-dimensional generators in the n-dimensional affine spaced.
Published in Lietuvos Matematikos Rinkinys, Vol. 47, No. 3, pp. 532–562, October–December, 2007. 相似文献
8.
S. Zamarys 《Lithuanian Mathematical Journal》2006,46(4):494-508
We obtain upper and lower bounds for fractional moments of Dirichlet L-functions.
Published in Lietuvos Matematikos Rinkinys, Vol. 46, No. 4, pp. 606–621, October–December, 2006. 相似文献
9.
Let {ie166-01} be a set of finite groups. A group G is said to be saturated by the groups in {ie166-02} if every finite subgroup
of G is contained in a subgroup isomorphic to a member of {ie166-03}. It is proved that a periodic group G saturated by groups
in a set {U3(2m) | m = 1, 2, …} is isomorphic to U3(Q) for some locally finite field Q of characteristic 2; in particular, G is locally finite.
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Translated from Algebra i Logika, Vol. 47, No. 3, pp. 288–306, May–June, 2008. 相似文献
10.
On the Block Independence in G-Inverse and Reflexive Inner Inverse of A Partitioned Matrix 总被引:1,自引:0,他引:1
Yong Hui LIU Mu Sheng WEI 《数学学报(英文版)》2007,23(4):723-730
By applying the multiple quotient singular value decomposition QQQQQ-SVD, we study the block independence in g-inverse and reflexive inner inverse of 2× 2 partitioned matrices, and prove a conjecture in [Yiju Wang, SIAM J. Matrix Anal. Appl., 19(2), 407-415(1998)]. 相似文献
11.
New concepts of fuzzy semi δ-V and fuzzy semi δ-Λ sets were introduced in our work “On fuzzy semi δ-Λ sets and fuzzy semi δ-V sets V-6,” J. Trip. Math. Soc., 6, 81–88 (2004). It was shown that the family of all fuzzy semi δ-V sets forms a fuzzy supra topological space on X denoted by (X, FS
δV
). The aim of this paper is to introduce the concept of fuzzy semi δ-V continuity in a fuzzy δ-V topological space. Finally, some properties, preservation theorems, etc., are studied.
Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 5, pp. 712–717, May, 2008. 相似文献
12.
S. Zamarys 《Lithuanian Mathematical Journal》2007,47(2):228-241
In this paper, we consider upper and lower bounds of the same order with explicitly given constants for fractional moments
of Dirichlet L-functions.
Published in Lietuvos Matematikos Rinkinys, Vol. 47, No. 2, pp. 280–295, April–June, 2007. 相似文献
13.
V. V. Rimatskii 《Algebra and Logic》2008,47(6):420-425
Admissible inference rules for table modal and superintuitionistic logics are investigated. K-saturated logics are defined
semantically. Such logics are proved to have finite bases for admissible inference rules in finitely many variables.
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Translated from Algebra i Logika, Vol. 47, No. 6, pp. 750–761, November–December, 2008. 相似文献
14.
We prove that if the existence of a supercompact cardinal is consistent with ZFC, then it is consistent with ZFC that the
p-rank of Ext
ℤ(G, ℤ) is as large as possible for every prime p and for any torsion-free Abelian group G. Moreover, given an uncountable
strong limit cardinal μ of countable cofinality and a partition of Π (the set of primes) into two disjoint subsets Π0 and Π1, we show that in some model which is very close to ZFC, there is an almost free Abelian group G of size 2μ = μ+ such that the p-rank of Ext
ℤ(G, ℤ) equals 2μ = μ+ for every p ∈ Π0 and 0 otherwise, that is, for p ∈ Π1.
Number 874 in Shelah’s list of publications. Supported by the German-Israeli Foundation for Scientific Research & Development
project No. I-706-54.6/2001.
Supported by a grant from the German Research Foundation DFG.
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Translated from Algebra i Logika, Vol. 46, No. 3, pp. 369–397, May–June, 2007. 相似文献
15.
We investigate differences in isomorphism types for Rogers semilattices of computable numberings of families of sets lying
in different levels of the arithmetical hierarchy.
Supported by RFBR grant No. 05-01-00819 and by INTAS grant No. 00-499.
Supported by NSFC grant No. 60310213.
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Translated from Algebra i Logika, Vol. 45, No. 6, pp. 637–654, November–December, 2006. 相似文献
16.
P. A. Shreiner 《Algebra and Logic》2007,46(1):62-70
We deal with some issues on automatic recognition of interpolation properties in modal calculi extending the logics S5 and
S4.3.
Supported by RFBR grant No. 06-01-00358 and by INTAS grant No. 04-77-7080.
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Translated from Algebra i Logika, Vol. 46, No. 1, pp. 103–119, January–February, 2007. 相似文献
17.
LiangYuLIN ChunHuiQIU 《数学学报(英文版)》2004,20(6):989-998
Suppose that D is a bounded domain with a piecewise C^1 smooth boundary in C^n. Let ψ∈C^1 α(δD). By using the Hadamard principal value of the higher order singular integral and solid angle coefficient method of points on the boundary, we give the Plemelj formula of the higher order singular integral with the Boehner-Martinelli kernel, which has integral density ψ. Moreover, by means of the Plemelj formula and methods of complex partial differential equations, we discuss the corresponding Cauehy boundary value problem with the Boehner-Martinelli kernel on a closed piecewise smooth manifold and obtain its unique branch complex harmonic solution. 相似文献
18.
M. Manstavicius 《Lithuanian Mathematical Journal》2005,45(3):292-298
A relationship between Hausdorff-Besicovitch dimension of graphs of trajectories and p-variation index is well known for many real-valued Levy processes (see, e.g., [10]). Here this relationship is extended to
a class of subordinated processes used in econometrics.
Printed in Lietuvos Matematikos Rinkinys, Vol. 45, No. 3, pp. 359–366, July–September, 2005. 相似文献
19.
U. Goginava 《Ukrainian Mathematical Journal》2005,57(11):1818-1824
In this paper, a necessary and sufficient condition for the inclusion of the class ΛBV in the class H
p
ω
is found.
Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, No. 11, pp. 1557–1562, November, 2005. 相似文献
20.
R. A. Lasuriya 《Ukrainian Mathematical Journal》2005,57(4):600-609
We establish estimates for the rate of convergence of a group of deviations on a sphere in the space L(S
m
), m ≥ 3.
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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 57, No. 4, pp. 496–504, April, 2005. 相似文献