共查询到20条相似文献,搜索用时 15 毫秒
1.
In this paper we introduce a new version of the concept of order varieties. Namely, in addition to closure under retracts and products we require that the class of posets should be closed under taking idempotent subalgebras. As an application we prove that the variety generated by an order-primal algebra on a finite connected poset P is congruence modular if and only if every idempotent subalgebra of P is connected. We give a polynomial time algorithm to decide whether or not a variety generated by an order-primal algebra admits a near unanimity function and so we answer a problem of Larose and Zádori. 相似文献
2.
We prove that if a finite lattice L has order dimension at most d, then the homology of the order complex of its proper part L
vanishes in dimensions d – 1 and higher. If L can be embedded as a join-sublattice in N
d
, then L
actually has the homotopy type of a simplicial complex with d vertices. 相似文献
3.
代数的扩张是指两个代数之间保持单位元的同态映射,设f:B→A是代数的扩张,扩张f的相对整体维数是指所有A-模的相对投射维数的上确界.我们给出了扩张的相对整体维数有限的一个充分必要条件,作为应用,还获得了Hochschild的文[Relative homological algebra, Trans. Am. Math. Soc.,1956,82:246-269]中一个结果的简洁证明. 相似文献
4.
有阻尼Sine-Gordon方程的全局吸引子的维数 总被引:2,自引:0,他引:2
本文通过引入新范数,得到有阻尼Sine-Gordon方程的Dirichlet问题的全局吸引子的维数的一个估计.结果表明:当“阻尼”与“扩散”同时增大或正弦项系数减小时,吸引子的维数减小.特别地,得到了零维吸引子存在的参数条件. 相似文献
5.
设F_q为一个阶为q的有限域,其中q为奇数.本文研究了x~n+1在F_q上的不可约分解及环F_q[x]/x~n+1中所有本原幂等元,这里的n是素因子整除q-1的某些正整数.进一步,得到了F_q上所有长度为n的不可约负循环码的检验多项式及极小汉明距离. 相似文献
6.
有阻尼Sine-Gordon方程的全局吸引子的维数 总被引:4,自引:0,他引:4
本文通过引入新范数,得到有阻尼Sine-Gordon方程的Dirichlet问题的全局吸引子的维数的一个估计.结果表明:当“阻尼”与“扩散”同时增大或正弦项系数减小时,吸引子的维数减小.特别地,得到了零维吸引子存在的参数条件. 相似文献
7.
Stefan Felsner 《Order》2001,18(1):19-37
We define an analogue of Schnyder's tree decompositions for 3-connected planar graphs. Based on this structure we obtain: Let G be a 3-connected planar graph with f faces, then G has a convex drawing with its vertices embedded on the (f–1)×(f–1) grid. Let G be a 3-connected planar graph. The dimension of the incidence order of vertices, edges and bounded faces of G is at most 3.The second result is originally due to Brightwell and Trotter. Here we give a substantially simpler proof. 相似文献
8.
Xueshang Feng & Xiaoyou Han 《偏微分方程(英文版)》1995,8(1):36-42
The decay properties of global solutions for the Benjamin-Ono equation of high order are obtained as |x| → ∞. An Iorio's type result is derived for this equation. 相似文献
9.
In this paper,we obtain the fractal dimension of the graph of the Weierstrass function, its derivative of the fractional order and the relation between the dimension and the order of the fractional derivative. 相似文献
10.
Yufeng Liu 《数学研究通讯:英文版》2013,29(2):179-183
A subgroup $H$ of a group $G$ is said to be primitive if it is a proper subgroup
of the intersection of all subgroups of $G$ containing $H$ as its proper subgroup. The
purpose of this note is to go further into the influence of primitive subgroups on the
structure of finite groups. Some new results are obtained. 相似文献
11.
In this paper, we show that if C is a module with finite Goldie dimension, and A + C≌B + C, then there are essential submodules A'△ A, B'△ B such that A'≌ B'. 相似文献
12.
自然资源、科学技术生产力、人口数量、市场需求、政府宏观调控5个因素是影响农业生产结构变动的主要因素,使用分形维数方法排序它们的影响力,以期为农业生产结构调整方案的制定,提供依据和参考. 相似文献
13.
Luis Fuentes García 《Geometriae Dedicata》2006,117(1):133-135
Let (X,L) be a generic polarized abelian variety of dimension g and type (d
1,...,d
g
). We show that L is globally generated when d
1+...+d
g
≥ 2g.
Mathematics Subject Classification: Primary 14K05; secondary 14C20 相似文献
14.
15.
In this paper,we consider the global well-posedness of smooth solutions for the Cauchy problem of a sixth order convective Cahn-Hilliard equation with small initial data.We first construct a local smooth solution,then by combining some a priori estimates,continuity argument,the local smooth solution is extended step by step to all t>0 provided that the L1 norm of initial data is suitably small and the smooth nonlinear functions f(u)and g(u)satisfy certain local growth conditions at some fixed point■. 相似文献
16.
It is an interesting topic to determine the structure of a finite group which has a given number of elements of maximal order.
In this article, the author classified finite groups with 30 elements of maximal order.
This work is supported by NSFC (No. 10571128), NSF of CHONGQING (CSTC: 2005BB8096). 相似文献
17.
详细地研究了有限域 Fq上的矩阵的阶的问题 ,得到了相当理想的结果 .并给出一类矩阵方幂的极小多项式的求法 相似文献
18.
As the definition of free class of differential modules over a commutative ring in [1], we define DG free class for semifree DG modules over an Adams connected DG algebra A. For any DG A-modules M, we define its cone length as the least DG free classes of all semifree resolutions of M. The cone length of a DG A-module plays a similar role as projective dimension of a module over a ring does in homological ring theory. The left (resp., right) global dimension of an Adams connected DG algebra A is defined as the supremum of the set of cone lengths of all DG A-modules (resp., A op -modules). It is proved that the definition is a generalization of that of graded algebras. Some relations between the global dimension of H(A) and the left (resp. right) global dimension of A are discovered. When A is homologically smooth, we prove that the left (right) global dimension of A is finite and the dimension of D(A) and D c (A) are not bigger than the DG free class of a minimal semifree resolution X of the DG A e -module A. 相似文献
19.
20.
In this paper, we prove that the Gorenstein analogue of the well-known Auslander's theorem on the global dimension holds true. Namely, we prove that the Gorenstein global dimension of a commutative ring R is equal to the supremum of the set of Gorenstein projective dimensions of all cyclic R-modules. 相似文献