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AbstractAbstract
[en] Boolean algebra is defined with various sets of axioms which are equivalent. After their discussion, a short exposition of the generalizations of algebraic aspects of Boolean algebra is given here. 24 refs
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Churchhouse, R.F. (University Coll., Cardiff (United Kingdom)); Tahir Shah, K. (International Centre for Theoretical Physics, Trieste (Italy)); Zanella, P. (European Organization for Nuclear Research, Geneva (Switzerland)) (eds.); International Centre for Theoretical Physics, Trieste (Italy); 216 p; ISBN 981-02-0842-1;
; 1991; p. 169-181; World Scientific; Singapore (Singapore); College on recent developments and applications in mathematics and computer science; Trieste (Italy); 7 May - 1 Jun 1990

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AbstractAbstract
No abstract available
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Available from http://dx.doi.org/10.1070/RM2009v064n02ABEH004618; Abstract only; Country of input: International Atomic Energy Agency (IAEA)
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Felikson, Anna; Tumarkin, Pavel; Retakh, Alexander, E-mail: felikson@mccme.ru, E-mail: retakh@math.sunysb.edu, E-mail: pasha@mccme.ru2008
AbstractAbstract
[en] We classify regular subalgebras of Kac-Moody algebras in terms of their root systems. In the process, we establish that a root system of a subalgebra is always an intersection of the root system of the algebra with a sublattice of its root lattice. We also discuss applications to investigations of regular subalgebras of hyperbolic Kac-Moody algebras and conformally invariant subalgebras of affine Kac-Moody algebras. In particular, we provide explicit formulae for determining all Virasoro charges in coset constructions that involve regular subalgebras
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S1751-8113(08)75345-9; Available from http://dx.doi.org/10.1088/1751-8113/41/36/365204; Country of input: International Atomic Energy Agency (IAEA)
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Journal Article
Journal
Journal of Physics. A, Mathematical and Theoretical (Online); ISSN 1751-8121;
; v. 41(36); [16 p.]

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AbstractAbstract
[en] Inequalities for the derivatives with respect to φ=arg z the functions ReP(z), |P(z)|2 and arg P(z) are established for an algebraic polynomial P(z) at points on the circle |z|=1. These estimates depend, in particular, on the constant term and the leading coefficient of the polynomial P(z) and improve the classical Bernstein and Turan inequalities. The method of proof is based on the techniques of generalized reduced moduli
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Available from http://dx.doi.org/10.1070/SM2000v191n12ABEH000528; Country of input: International Atomic Energy Agency (IAEA)
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Journal Article
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Sbornik. Mathematics; ISSN 1064-5616;
; v. 191(12); p. 1797-1807

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AbstractAbstract
No abstract available
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Available from http://dx.doi.org/10.1070/RM2001v056n05ABEH000439; Abstract only; Country of input: International Atomic Energy Agency (IAEA)
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AbstractAbstract
[en] This paper studies the derived categories of coherent sheaves on smooth complete algebraic varieties and equivalences between them. We prove that every equivalence of categories is represented by an object on the product of the varieties. This result is applied to describe the Abelian varieties and K3 surfaces that have equivalent derived categories of coherent sheaves
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Available from http://dx.doi.org/10.1070/RM2003v058n03ABEH000629; Country of input: International Atomic Energy Agency (IAEA)
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[en] Algebras of nearly triangular matrices over a field are studied. For an infinite field, a basis of the ideal of identities is found. For a field of characteristic zero, the growth of identities is investigated
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Available from http://dx.doi.org/10.1070/SM2001v192n06ABEH000569; Country of input: International Atomic Energy Agency (IAEA)
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Sbornik. Mathematics; ISSN 1064-5616;
; v. 192(6); p. 795-806

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AbstractAbstract
No abstract available
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Available from http://dx.doi.org/10.1070/RM2006v061n04ABEH004345; Abstract only; Country of input: International Atomic Energy Agency (IAEA)
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[en] This paper is devoted to the substantiation of a criterion for the quasisymmetric conjugacy of an arbitrary group of homeomorphisms of the real line to a group of affine transformations (the Ahlfors problem). In a criterion suggested by Hinkkanen the constants in the definition of a quasisymmetric homeomorphism were assumed to be uniformly bounded for all elements of the group. Subsequently, for orientation-preserving groups this author put forward a more relaxed criterion, in which one assumes only the uniform boundedness of constants for each cyclic subgroup. In the present paper this relaxed criterion is proved for an arbitrary group of line homeomorphisms, which do not necessarily preserve the orientation.
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Available from http://dx.doi.org/10.1070/SM2005v196n10ABEH003706; Country of input: International Atomic Energy Agency (IAEA)
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Sbornik. Mathematics; ISSN 1064-5616;
; v. 196(10); p. 1403-1420

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Fu Zuntao; Liu Shida; Liu Shikuo; Liang Fuming; Xin Guojun, E-mail: fuzt@pku.edu.cn2005
AbstractAbstract
[en] Starting from iterated systems, it is shown that the homoclinic (heteroclinic) orbit is a kind of spiral structure. The emphasis is laid to show that there are homoclinic or heteroclinic orbits in complex discrete and continuous systems, and these homoclinic or heteroclinic orbits are some kind of spiral structure.
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Source
Available from http://dx.doi.org/10.1088/0253-6102/43/4/006; Country of input: International Atomic Energy Agency (IAEA)
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Journal Article
Journal
Communications in Theoretical Physics; ISSN 0253-6102;
; v. 43(4); p. 601-603

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