共查询到20条相似文献,搜索用时 78 毫秒
1.
O. N. Smirnov 《Algebra and Logic》1996,35(6):403-417
Irreducible bimodules over finite-dimensional central structurable algebras generated by skew-symmetric elements are described.
Supported by IFFR grant No. RB 6000, and by the State Committee for Higher Education of Russia, grant No. 8.
Translated fromAlgebra i Logika, Vol. 35, No. 6, pp. 719–745, November–December, 1996. 相似文献
2.
A. V. Sidorov 《Algebra and Logic》1996,35(2):105-119
It is proved that any continuous weakly invertible local measuring of an algebra with a coalgebra extends to the global measuring
of a quotient algebra. Also, any twisted measuring with an invertible cocycle is shown to be weakly invertible, and sufficient
conditions are specified for pointed and connected algebras to have continuous measurings.
Supported by RFFR grant No. 95-01-01356a and by ISF grants Nos. RPS 000 and RPS 300.
Translated fromAlgebra i Logika, Vol. 35, No. 2, pp. 190–213, March–April, 1996. 相似文献
3.
V. N. Zhelyabin 《Algebra and Logic》1996,35(2):96-104
The relationship between Jordan and Lie coalgebras is established. We prove that from any Jordan coalgebra 〈L(A), Δ〉, it is
possible to construct a Lie coalgebra 〈L(A), ΔL〉. Moreover, any dual algebra of the coalgebra 〈L(A), ΔL〉 corresponds to a Lie algebra that can be determined from the dual algebra for (A, Δ), following the Kantor-Koecher-Tits
process. The structure of subcoalgebras and coideals of the coalgebra 〈L(A), ΔL〉 is characterized.
Supported by ISF grant No. RB 6000.
Translated fromAlgebra i Logika, Vol. 35, No. 2, pp. 173–189, March–April, 1996. 相似文献
4.
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
5.
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
6.
Centers of universal envelopes for Mal’tsev algebras are explored. It is proved that the center of the universal envelope
for a finite-dimensional semisimple Mal’tsev algebra over a field of characteristic 0 is a ring of polynomials in a finite
number of variables equal to the dimension of its Cartan subalgebra, and that universal enveloping algebra is a free module
over its center. Centers of universal enveloping algebras are computed for some Mal’tsev algebras of small dimensions.
Supported by FAPESP grant No. 04/08537-4 and by SO RAN grant No. 1.9.
Supported by FAPESP grant Nos. 05/60142-7, 05/60337-2 and by CNPq grant No. 304991/2006-6.
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Translated from Algebra i Logika, Vol. 46, No. 5, pp. 560–584, September–October, 2007. 相似文献
7.
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.
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Translated from Algebra i Logika, Vol. 46, No. 6, pp. 745–762, November–December, 2007. 相似文献
8.
A. P. Pozhidaev 《Algebra and Logic》2008,47(2):139-152
This account is a first step toward a classification of finite-dimensional simple Filippov superalgebras over an algebraically
closed field of characteristic 0. Here, n-ary Filippov superalgebras with nonzero even and odd parts are treated for the case
n ⩾ 3.
Supported by RFBR (grant No. 05-01-00230) and by SB RAS (Integration project No. 1.9 and Young Researchers Support grant No.
29).
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Translated from Algebra i Logika, Vol. 47, No. 2, pp. 240–261, March–April, 2008. 相似文献
9.
Jia Gui ZHU 《数学学报(英文版)》2005,21(3):563-568
Let H be a finite dimensional cosemisimple Hopf algebra, C a left H-comodule coalgebra and let C = C/C(H^*)^+ be the quotient coalgebra and the smash coproduct of C and H. It is shown that if C/C is a eosemisimple coextension and C is an injective right C-comodule, then gl. dim(the smash coproduct of C and H) = gl. dim(C) = gl. dim(C), where gl. dim(C) denotes the global dimension of coalgebra C. 相似文献
10.
O. V. Zeevald 《Algebra and Logic》2006,45(6):415-430
We explore the basic fuzzy logic BL as well as propositional fuzzy logics with modalities □ and ◊ and a total accessibility relation. Formulations and proofs
are given to replacement theorems for BL. A basic calculus of modal fuzzy logic is introduced. For this calculus and its extensions, we prove replacement and deduction
theorems.
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.
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Translated from Algebra i Logika, Vol. 45, No. 6, pp. 731–757, November–December, 2006. 相似文献
11.
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
12.
A. V. Zavarnitsin 《Algebra and Logic》2006,45(2):106-116
An exhaustive solution is given to the recognition-by-spectrum problem for finite, simple, three-dimensional unitary groups.
For every such group, the number of non-isomorphic, finite, isospectral groups is determined. In particular, a new counterexample
to Problem 13.63 in the Kourovka Notebook is furnished.
Supported by RFBR grant No. 05-01-00797, and by SB RAS Young Researchers Support grant No. 29 and Integration Project No.
2006.1.2.
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Translated from Algebra i Logika, Vol. 45, No. 2, pp. 185–202, March–April, 2006. 相似文献
13.
A. V. Zavarnitsine 《Algebra and Logic》2006,45(4):220-231
We obtain the first example of an infinite series of finite simple groups that are uniquely determined by their prime graph
in the class of all finite groups. We also show that there exist almost simple groups for which the number of finite groups
with the same prime graph is equal to 2.
Supported by RFBR grant No. 05-01-00797, and by SB RAS Young Researchers Support grant No. 29 and Integration project No.
2006.1.2.
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Translated from Algebra i Logika, Vol. 45, No. 4, pp. 390–408, July–August, 2006. 相似文献
14.
It is shown that polynilpotent groups with a single primitive defining relation have a decidable word problem.
Supported by RFBR grant No. 05-01-00292.
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Translated from Algebra i Logika, Vol. 45, No. 1, pp. 28–43, January–February, 2006. 相似文献
15.
S. G. Kolesnikov 《Algebra and Logic》1998,37(4):234-244
Lower central series are constructed for 2-subgroups of orthogonal and symplectic groups over the ring of residue classes
of integers modulo 2m, treated as exceptional in the previous accounts. Nilpotency classes are found out.
Supported by RFFR grant No. 96-01-00409, and by the Krasnoyarsk Foundation for Sciences, grant No. 5f0107.
Translated fromAlgebra i Logika, Vol. 37, No. 4, pp. 413–431, July–August, 1998. 相似文献
16.
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.
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Translated from Algebra i Logika, Vol. 45, No. 4, pp. 436–446, July–August, 2006. 相似文献
17.
Yu. L. Ershov 《Algebra and Logic》1999,38(6):367-373
We introduce the notion of a Δ-space and argue that a complete subcategory of the categoryTOP
0of all topological T0-spaces, defined by Δ-spaces, is a subdirectly closed subcategory ofTOP
0that contains many of the known denotational semantic categories of topological spaces as subdirectly closed subcategories.
As a consequence, the affirmative answer is given to Scott’s question which inquires whether the category of bifinite domains
is a complete subdirectly closed subcategory ofEQU.
Supported jointly by RFFR grant No. 96-0-00976 and by DFG grant No. 436-11312670.
Translated fromAlgebra i Logika, Vol. 38, No. 6, pp. 667–679, November–December, 1999. 相似文献
18.
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
19.
We deal with logics based on lattices with an additional unary operation. Interrelations of different versions of interpolation,
the Beth property, and amalgamation, as they bear on modal logics and varieties of modal algebras, superintuitionistic logics
and varieties of Heyting algebras, positive logics and varieties of implicative lattices, have been studied in many works.
Sometimes these relations can and sometimes cannot be extended to the logics without implication considered in the paper.
Supported by INTAS (grant No. 04-77-7080) and by RFBR (grant No. 06-01-00358).
Supported by INTAS grant No. 04-77-7080.
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Translated from Algebra i Logika, Vol. 47, No. 3, pp. 307–334, May–June, 2008. 相似文献
20.
O. V. Kudinov 《Algebra and Logic》1996,35(6):384-391
Established are (1) a nonuniform criterion for the stability of models in terms of enumeration reducibility of constructivizations;
(2) a criterion for the autostability of certain particular classes of models close to algebraic number fields; (3) a uniform
autostability of each 1-constructive model that is autostable.
Supported by RFFR grant No. 096-01-01525 and by ISF grant NQ 6000.
Translated fromAlgebra i Logika, Vol. 35, No. 6, pp. 685–698, November–December, 1996. 相似文献