共查询到20条相似文献,搜索用时 0 毫秒
1.
主要引入了弱entwined模上的弱度量,并用它来考虑两个弱entwined模范畴之间约函子关系.同时还给出了弱entwined模的Frobenius性质和Maschke型定理. 相似文献
2.
Gergő Nagy 《Linear and Multilinear Algebra》2017,65(2):351-360
In this paper we investigate the structure of maps on classes of Hilbert space operators leaving the determinant of linear combinations invariant. Our main result is an infinite dimensional version of the famous theorem of Frobenius about determinant preserving linear maps on matrix algebras. In this theorem of ours, we use the notion of (Fredholm) determinant of bounded Hilbert space operators which differ from the identity by an element of the trace class. The other result of the paper describes the structure of those transformations on sets of positive semidefinite matrices which preserve the determinant of linear combinations with fixed coefficients. 相似文献
3.
Rodney Y. Sharp 《Proceedings of the American Mathematical Society》2007,135(3):665-670
Let be a commutative Noetherian local ring of prime characteristic. The purpose of this paper is to provide a short proof of G. Lyubeznik's extension of a result of R. Hartshorne and R. Speiser about a module over the skew polynomial ring (associated to and the Frobenius homomorphism , in the indeterminate ) that is both -torsion and Artinian over .
4.
Benjamin Sambale 《Expositiones Mathematicae》2019,37(2):200-206
For a prime , we call a positive integer a Frobenius -number if there exists a finite group with exactly subgroups of order for some . Extending previous results on Sylow’s theorem, we prove in this paper that every Frobenius -number is a Sylow -number, i. e., the number of Sylow -subgroups of some finite group. As a consequence, we verify that 46 is a pseudo Frobenius 3-number, that is, no finite group has exactly 46 subgroups of order for any . 相似文献
5.
Jay A. Wood 《Proceedings of the American Mathematical Society》2008,136(2):699-706
In this paper we show that finite rings for which the code equivalence theorem of MacWilliams is valid for Hamming weight must necessarily be Frobenius. This result makes use of a strategy of Dinh and López-Permouth.
6.
A covering p from a Cayley graph Cay(G, X) onto another Cay(H, Y) is called typical Frobenius if G is a Frobenius group with H as a Frobenius complement and the map p : G →H is a group epimorphism. In this paper, we emphasize on the typical Frobenius coverings of Cay(H, Y). We show that any typical Frobenius covering Cay(G, X) of Cay(H, Y) can be derived from an epimorphism /from G to H which is determined by an automorphism f of H. If Cay(G, X1) and Cay(G, X2) are two isomorphic typical Frobenius coverings under a graph isomorphism Ф, some properties satisfied by Фare given. 相似文献
7.
8.
给出了一阶偏微分方程特征微分方程组的一种基于Frobenius定理的几何解释,通过研究发现根据Frobenius定理可以从一阶偏微分方程直接得到其特征微分方程组;在此基础上说明如何利用几何方法从Hamilton正则方程出发找到与之对应的Hamilton-Jacobi方程.这种方法可以被用于非保守或非完整Hamilton力学问题的研究中,经典Hamilton-Jacobi方法是这种方法的一个特例. 相似文献
9.
10.
11.
Some equivalent conditions for double Frobenius algebras to be strict ones are given. Then some examples of (strict or non-strict) double Frobenius algebras are presented. Finally, a sufficient and necessary condition for the trivial extension of a double Frobenius algebra to be a (strict) double Frobenius algebra is given. 相似文献
12.
Wenliang Zhang 《代数通讯》2013,41(7):2391-2395
In this article we study the commutativity of the Frobenius power and the colon operation of two ideals for Noetherian rings of positive characteristic p. New characterizations of regular rings and local UFDs are given. 相似文献
13.
We define the minimal transversal of a numerical semigroup with respect to one of its elements and use it to calculate the Frobenius number, genus, and the Hilbert function of the semigroup. We give various examples for the use of this method. 相似文献
14.
It is proved that a finite simple group with the set of element orders as in a Frobenius group (a double Frobenius group, respectively) is isomorphic to L3(3) or U3(3) (to U3(3) or S4(3), respectively). 相似文献
15.
Let n ≥ 1 be an integer and π a permutation of I = {1, ⋯ ,n}. For any ring R, we provide a systematic construction of rings A which contain R as a subring and enjoy the following properties: (a) 1 = ∑
i ∈ I
e
i
with the e
i
orthogonal idempotents; (b) e
i
x = xe
i
for all i ∈ I and x ∈ R; (c) e
i
A
e
j
≠ 0 for all i, j ∈ I; (d) e
i
A
A
≇ e
j
A
A
unless i = j; (e) every e
i
Ae
i
is a local ring whenever R is; (f) e
i
A
A
≅ Hom
R
(Ae
π(i),R
R
) and
A
Ae
π(i) ≅
A
Hom
R
(e
i
A,
R
R) for all i ∈ I; and (g) there exists a ring automorphism η ∈ Aut(A) such that η(e
i
) = e
π(i) for all i ∈ I. Furthermore, for any nonempty π-stable subset J of I, the mapping cone of the multiplication map is a tilting complex.
Dedicated to Takeshi Sumioka on the occasion of his 60th birthday. 相似文献
16.
Yan WANG Xin Gui FANG D. F. HSU 《数学学报(英文版)》2006,22(6):1735-1744
A G-Frobenius graph F, as defined by Fang, Li, and Praeger, is a connected orbital graph of a Frobenius group G = K × H with Frobenius kernel K and Frobenius complement H. F is also shown to be a Cayley graph, F = Cay(K, S) for K and some subset S of the group K. On the other hand, a network N with a routing function R, written as (N, R), is an undirected graph N together with a routing R which consists of a collection of simple paths connecting every pair of vertices in the graph. The edge-forwarding index π(N) of a network (N, R), defined by Heydemann, Meyer, and Sotteau, is a parameter to describe tile maximum load of edges of N. In this paper, we study the edge-forwarding indices of Frobenius graphs. In particular, we obtain the edge-forwarding index of a G-Frobenius graph F with rank(G) ≤ 50. 相似文献
17.
We prove a version of an effective Frobenius restriction theorem for semistable bundles in characteristic p. The main novelty is in restricting the bundle to the p-fold thickening of a hypersurface section. The base variety is G/P, an abelian variety or a smooth projective toric variety. 相似文献
18.
Using analytic methods of finite-gap integration, we construct quasihomogeneous algebraic solutions of the WDVV associativity
equations and the nonsemisimple Frobenius manifolds associated with them.
__________
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 151, No. 2, pp. 195–206, May, 2007. 相似文献
19.
Iskander Aliev 《Journal of Combinatorial Theory, Series A》2011,118(2):525-531
Given a primitive positive integer vector a, the Frobenius number F(a) is the largest integer that cannot be represented as a non-negative integral combination of the coordinates of a. We show that for large instances the order of magnitude of the expected Frobenius number is (up to a constant depending only on the dimension) given by its lower bound. 相似文献
20.
M.V. Feigin 《Advances in Mathematics》2007,212(1):143-162
We consider a class of solutions of the WDVV equation related to the special systems of covectors (called ∨-systems) and show that the corresponding logarithmic Frobenius structures can be naturally restricted to any intersection of the corresponding hyperplanes. For the Coxeter arrangements the corresponding structures are shown to be almost dual in Dubrovin's sense to the Frobenius structures on the strata in the discriminants discussed by Strachan. For the classical Coxeter root systems this leads to the families of ∨-systems from the earlier work by Chalykh and Veselov. For the exceptional Coxeter root systems we give the complete list of the corresponding ∨-systems. We present also some new families of ∨-systems, which cannot be obtained in such a way from the Coxeter root systems. 相似文献