 首页 | 本学科首页 官方微博 | 高级检索

 按 中文标题 英文标题 中文关键词 英文关键词 中文摘要 英文摘要 作者中文名 作者英文名 单位中文名 单位英文名 基金中文名 基金英文名 杂志中文名 杂志英文名 栏目英文名 栏目英文名 DOI 责任编辑 分类号 杂志ISSN号 检索 检索词:

 收费全文 13篇 国内免费 1篇 完全免费 5篇
 数学 19篇
 2018年 2篇 2017年 4篇 2016年 1篇 2015年 1篇 2014年 4篇 2012年 2篇 2011年 2篇 2010年 1篇 2008年 1篇 2007年 1篇

1.
Consider the stable Steinberg group St(K) over a skew field K. An element x is called an involution if x2 = 1. In this paper, an involution is allowed to be the identity. The authors prove that an element A of GLn(K) up to conjugation can be represented as BC, where B is lower triangular and C is simultaneously upper triangular. Furthermore, B and C can be chosen so that the elements in the main diagonal of B areβ1,β2, ...,βn, and of C areγ1,γ2,... ,γnCn, where cn∈[K*, K*] and = det A. It is also proved that every element 6 in St(K) is a product of 10 involutions.  相似文献
2.
For a finite commutative ring R and a positive integer k ? 2, we construct an iteration digraph G(R, k) whose vertex set is R and for which there is a directed edge from aR to bR if b = a k . Let R = R 1 ⊕ … ⊕ R s , where s > 1 and R i is a finite commutative local ring for i ∈ {1, …, s}. Let N be a subset of {R 1, …, R s } (it is possible that N is the empty set $$\not 0$$ ). We define the fundamental constituents G N * (R, k) of G(R, k) induced by the vertices which are of the form {(a 1, …, a s ) ∈ R: a i D(R i ) if R i N, otherwise a i ∈ U(R i ), i = 1, …, s}, where U(R) denotes the unit group of R and D(R) denotes the zero-divisor set of R. We investigate the structure of G* N (R, k) and state some conditions for the trees attached to cycle vertices in distinct fundamental constituents to be isomorphic.  相似文献
3.
4.
The paper provides the construction of error-correcting pooling designs with the incidence matrix of two types of subspaces of symplectic spaces over finite fields. As a generalization of Guo et al.’s matrix, we use the general subspaces of type $(m,s)$ to substitute special subspaces of type $(2s,s)$ . If $\nu$ is big enough, we can get the higher degree of error-tolerant property.  相似文献
5.
Let G be a finite nonabelian group, ℤG its associated integral group ring, and Δ(G) its augmentation ideal. For the semidihedral group and another nonabelian 2-group the problem of their augmentation ideals and quotient groups Q n (G) = Δ n (G)/Δ n+1(G) is deal with. An explicit basis for the augmentation ideal is obtained, so that the structure of its quotient groups can be determined.  相似文献
6.
Let ? n [i] be the ring of Gaussian integers modulo n. We construct for ?n[i] a cubic mapping graph Γ(n) whose vertex set is all the elements of ?n[i] and for which there is a directed edge from a ∈ ?n[i] to b ∈ ?n[i] if b = a 3. This article investigates in detail the structure of Γ(n). We give suffcient and necessary conditions for the existence of cycles with length t. The number of t-cycles in Γ1(n) is obtained and we also examine when a vertex lies on a t-cycle of Γ2(n), where Γ1(n) is induced by all the units of ?n[i] while Γ2(n) is induced by all the zero-divisors of ?n[i]. In addition, formulas on the heights of components and vertices in Γ(n) are presented.  相似文献
7.
Hom-Malcev superalgebras can be considered as a deformation of Malcev superalgebras. We give the definition of Hom-Malcev superalgebras. Moreover, we characterize the Hom-Malcev operator and the representation of Hom-Malcev superalgebras. Finally, we study the central extension and the double extension of Hom-Malcev superalgebras.  相似文献
8.
Let \mathbbZpm \mathbb{Z}_{p^m } be the ring of integers modulo p m , where p is a prime and m ⩾ 1. The general linear group GL n ( \mathbbZpm \mathbb{Z}_{p^m } ) acts naturally on the polynomial algebra A n := \mathbbZpm \mathbb{Z}_{p^m } [x 1, …, x n ]. Denote by AnGL2 (\mathbbZpm ) A_n^{GL_2 (\mathbb{Z}_{p^m } )} the corresponding ring of invariants. The purpose of the present paper is to calculate this invariant ring. Our results also generalize the classical Dickson’s theorem.  相似文献
9.

10.