共查询到20条相似文献,搜索用时 15 毫秒
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Andrew J. Duncan Ilya V. Kazachkov Vladimir N. Remeslennikov 《Journal of Algebra》2007,318(2):918-932
Let Γ be a finite graph and G be the corresponding free partially commutative group. In this paper we study subgroups generated by vertices of the graph Γ, which we call canonical parabolic subgroups. A natural extension of the definition leads to canonical quasiparabolic subgroups. It is shown that the centralisers of subsets of G are the conjugates of canonical quasiparabolic centralisers satisfying certain graph theoretic conditions. 相似文献
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A. A. Mishchenko 《Algebra and Logic》2009,48(3):214-227
The results obtained deal in algebraic geometry over partially commutative class two nilpotent ℚ-groups, where ℚ is a field
of rationals. It is proved that two arbitrary non-Abelian partially commutative class two nilpotent ℚ-groups are geometrically
equivalent. A necessary and sufficient condition of being universally geometrically equivalent is specified for two partially
commutative class two nilpotent ℚ-groups. Algebraic sets for systems of equations in one variable, as well as for some special
systems in several variables, are described.
Dedicated to V. N. Remeslennikov on the occasion of his 70th birthday
Translated from Algebra i Logika, Vol. 48, No. 2, pp. 378–399, May–June, 2009. 相似文献
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L. Yu. Polyakova 《Siberian Mathematical Journal》2007,48(6):1038-1045
We construct a free resolution for a free partially commutative monoid and, using this resolution, estimate the homological dimension of the monoid. 相似文献
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Wang Xiaoying 《Periodica Mathematica Hungarica》2013,66(2):193-200
For any fixed positive integer D which is not a square, let (u, υ) = (u 1, υ 1) be the fundamental solution of the Pell equation u 2 ? Dυ 2 = 1. Further let $\mathbb{D}$ be the set of all positive integers D such that D is odd, D is not a square and gcd(D, υ 1) > max(1, √D/8). In this paper we prove that if (x, y, z) is a positive integer solution of the equation x y + y x = z 2 satisfying gcd(x, y) = 1 and xy is odd, then either $x \in \mathbb{D}$ or $y \in \mathbb{D}$ . 相似文献
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S. Sh. Kozhegel’dinov 《Mathematical Notes》2011,89(3-4):349-360
We study the set of all natural solutions of the equation x 4 + y 2 = z 2, obtain general formulas describing all such solutions, and prove their equivalence. 相似文献
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Marcin Balcerowski 《Aequationes Mathematicae》2009,78(3):247-255
We solve the equation
f(x+g(y)) - f(y + g(y)) = f(x) - f(y)f(x+g(y)) - f(y + g(y)) = f(x) - f(y) 相似文献
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Liqun Tao 《The Ramanujan Journal》2009,19(3):325-338
In this paper we consider the Diophantine equation x
2+5
m
=y
n
, n>2, m>0. We prove that the equation has no positive integer solutions when 2∤
m, nor when 2∣m under the additional condition (x,y)=1, with the help of Bilu, Hanrot, and Voutier’s deep result in (J. Reine Angew. Math. 539:75–122, 2001).
Supported by the 973 Grant of P.R.C and SRFDP 20040284018. 相似文献
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1引言对于二阶常微分方程的初值问题y″=g(x,y),y(x_0)=y_0,y′(x_0)=y_0′,x_0(?)x(?)T(1)的数值解法的研究引起人们的广泛兴趣.对于直接积分(1),自从1976年J.D.Lambert和I.A.Waston提出二阶P-稳定方法和1978年G.Dahlquist证明P-稳定常系数线性多步方法的最高相容阶不超过2的重要结论以来,截止目前,已积累了许多高于2阶的P-稳定方法.例如,修正的Numerov方法,混合法(特殊形式RK的方法),多导法,Obrechkoff方法,显式RKN方法,单隐方法和对角隐式RKN方法等(顺便指出,文献[5,16]中所说的高阶方法的相容阶均不超过4).所有这些方法,有些相 相似文献
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Aequationes mathematicae - 相似文献
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Maohua Le 《Czechoslovak Mathematical Journal》2006,56(4):1109-1116
Let a, b, c, r be positive integers such that a
2 + b
2 = c
r
, min(a, b, c, r) > 1, gcd(a, b) = 1, a is even and r is odd. In this paper we prove that if b ≡ 3 (mod 4) and either b or c is an odd prime power, then the equation x
2 + b
y
= c
z
has only the positive integer solution (x, y, z) = (a, 2, r) with min(y, z) > 1. 相似文献
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We prove that if a commutative semi-simple Banach algebra is the range of a ring homomorphism from a commutative -algebra, then is -equivalent, i.e. there are a commutative -algebra and a bicontinuous algebra isomorphism between and . In particular, it is shown that the group algebras , and the disc algebra are not ring homomorphic images of -algebras.
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J. Siekmann 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》1961,12(6):565-567
Zusammenfassung Es wird eine Übersicht über den Verlauf der Integralkurven einer in der Grenzschichttheorie auftretenden Differentialgleichung gegeben. Die Lösungen wurden mittels eines Analogrechners berechnet. 相似文献
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Anatoliy Pogorui Ramón M. Rodríguez‐Dagnino Michael Shapiro 《Mathematical Methods in the Applied Sciences》2014,37(17):2799-2810
Given a PDE with real or complex partial derivatives and with constant coefficients, we propose a method of assigning to it a set of algebra‐valued functions in such a manner that the components of the latter are solutions of the PDE. Copyright © 2013 John Wiley & Sons, Ltd. 相似文献
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For given positive integersm ≥ 2,d
1 andd
2, we consider the equation of the title in positive integersx, y andk ≥ 2. We show that the equation implies thatk is bounded. For a fixedk, we give conditions under which the equation implies that max(x, y) is bounded.
Dedicated to the memory of Professor K G Ramanathan 相似文献
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