共查询到20条相似文献,搜索用时 171 毫秒
1.
Hochschild (Co)homology of a Class of Nakayama Algebras 总被引:1,自引:0,他引:1
Yun Ge XU Dan WANG 《数学学报(英文版)》2008,24(7):1097-1106
2.
Let G be a finite group and K a field of characteristic zero.It is well-known that if K is a splitting field for G,then G is abelian if and only if any irreducible representation of G has degree 1.In this paper,we generalize this result to the case that K is an arbitrary field of characteristic zero(that is,K need not be a splitting field for G),and we also obtain the orthogonality relations of irreducible K-characters of G in this case.Our results generalize some well-known theorems. 相似文献
3.
Let F be a field of characteristic not 2, and let A be a finite-dimensional semisimple F -algebra. All local automorphisms of A are characterized when all the degrees of A are larger than 1. If F is further assumed to be an algebraically closed field of characteristic zero, K a finite group, F K the group algebra of K over F , then all local automorphisms of F K are also characterized. 相似文献
4.
Let F be an algebraically closed field of prime characteristic p 〉 3, and W(n) the Witt superalgebra over F, which is the Lie superalgebra of superderivations of the Grassmann algebra in n indeterminates. The dimensions of simple atypical modules in the restricted supermodule category for W(n) are precisely calculated in this paper, and thereby the dimensions of all simple modules can be precisely given. Moreover, the restricted supermodule category for W(n) is proved to have one block. 相似文献
5.
Ping SUN 《数学学报(英文版)》2005,21(6):1435-1442
Let Vk=u1u2……uk, ui's be i.i.d - U(0, 1), the p.d.f of 1 - Vk+l be the GF of the unsigned Stirling numbers of the first kind s(n, k). This paper discusses the applications of uniform distribution to combinatorial analysis and Riemann zeta function; several identities of Stifling series are established, and the Euler's result for ∑ Hn/n^k-l, k ≥ 3 is given a new probabilistic proof. 相似文献
6.
Let V be a linear space over a field F with finite dimension, L(V) the semigroup, under composition, of all linear transformations from V into itself. Suppose that V = V1 V2 ... Vm is a direct sum decomposition of V, where V1,V2,..., Vm are subspaces of V with the same dimension. A linear transformation f ∈ L(V) is said to be sum-preserving, if for each i (1 ≤ i ≤ m), there exists some j (1 ≤ j ≤ m) such that f(Vi) Vj. It is easy to verify that all sum-preserving linear transformations form a subsemigroup of L(V) which is denoted by L (V). In this paper, we first describe Green's relations on the semigroup L (V). Then we consider the regularity of elements and give a condition for an element in L (V) to be regular. Finally, Green's equivalences for regular elements are also characterized. 相似文献
7.
Jin Kun Lin 《数学学报(英文版)》2008,24(3):471-490
This paper proves that, for any generator x∈ExtA^s,tq(Zp,Zp), if (1L ∧i)*Ф*(x)∈ExtA^s+1,tq+2q(H*L∧M, Zp) is a permanent cycle in the Adams spectral sequence (ASS), then b0x ∈ExtA^s+1,tq+q(Zp, Zp) also is a permenent cycle in the ASS. As an application, the paper obtains that h0hnhm∈ExtA^3,pnq+p^mq+q(Zp, Zp) is a permanent cycle in the ASS and it converges to elements of order p in the stable homotopy groups of spheres πp^nq+p^mq+q-3S, where p ≥5 is a prime, s ≤ 4, n ≥m+2≥4 and M is the Moore spectrum. 相似文献
8.
Ji-hong SU & Yi-cai ZHAO LMAM Department of Mathematics Jinan University Guangzhou China 《中国科学A辑(英文版)》2007,50(4):495-502
Let X be a smooth projective variety of dimension 2k-1 (k≥3) over the complex number field. Assume that fR: X→Y is a small contraction such that every irreducible component Ei of the exceptional locus of fR is a smooth subvariety of dimension k. It is shown that each Ei is isomorphic to the k-dimensional projective space Pk, the k-dimensional hyperquadric surface Qk in Pk 1, or a linear Pk-1-bundle over a smooth curve. 相似文献
9.
For a symmetric sign pattern S1 the inertia set of S is defined to be the set of all ordered triples si(S) = {i(A) : A = A^T ∈ Q(S)} Consider the n × n sign pattern Sn, where Sn is the pattern with zero entry (i,j) for 1 ≤ i = j ≤ n or|i -j|=n- 1 and positive entry otherwise. In this paper, it is proved that si(Sn) = {(n1, n2, n - n1 - n2)|n1≥ 1 and n2 ≥ 2} for n ≥ 4. 相似文献
10.
11.
Let K = $
k(\sqrt \theta )
$
k(\sqrt \theta )
be a real cyclic quartic field, k be its quadratic subfield and $
\tilde K = k(\sqrt { - \theta } )
$
\tilde K = k(\sqrt { - \theta } )
be the corresponding imaginary quartic field. Denote the class numbers of K, k and $
\tilde K
$
\tilde K
by h
K
, h
k
and {417-3} respectively. Here congruences modulo powers of 2 for h
− = h
K
/h
K
and $
\tilde h^ - = h_{\tilde K} /h_k
$
\tilde h^ - = h_{\tilde K} /h_k
are obtained via studying the p-adic L-functions of the fields. 相似文献
12.
Coenraad C. A. Labuschagne Theresa M. Offwood 《Central European Journal of Mathematics》2010,8(6):1109-1119
Let Y be a Banach space, (Ω, Σ; μ) a probability space and φ a finite Young function. It is shown that the Y-valued Orlicz heart H
φ(μ, Y) is isometrically isomorphic to the l-completed tensor product $
H_\varphi \left( \mu \right)\tilde \otimes _l Y
$
H_\varphi \left( \mu \right)\tilde \otimes _l Y
of the scalar-valued Orlicz heart Hφ(μ) and Y, in the sense of Chaney and Schaefer. As an application, a characterization is given of the equality of $
\left( {H_\varphi \left( \mu \right)\tilde \otimes _l Y} \right)*
$
\left( {H_\varphi \left( \mu \right)\tilde \otimes _l Y} \right)*
and $
H_\varphi \left( \mu \right)*\tilde \otimes _l Y*
$
H_\varphi \left( \mu \right)*\tilde \otimes _l Y*
in terms of the Radon-Nikodym property on Y. Convergence of norm-bounded martingales in H
φ(μ, Y) is characterized in terms of the Radon-Nikodym property on Y. Using the associativity of the l-norm, an alternative proof is given of the known fact that for any separable Banach lattice E and any Banach space Y, E and Y have the Radon-Nikodym property if and only if $
E\tilde \otimes _l Y
$
E\tilde \otimes _l Y
has the Radon-Nikodym property. As a corollary, the Radon-Nikodym property in H
φ(μ, Y) is described in terms of the Radon-Nikodym property on H
φ(μ) and Y. 相似文献
13.
We study some properties of sets of differences of dense sets in ℤ2 and ℤ3 and their interplay with Bohr neighbourhoods in ℤ. We obtain, inter alia, the following results.
(i) | If E ⊂ ℤ2, $
\bar d
$
\bar d
(E) > 0 and p
i
, q
i
∈ ℤ[x], i = 1, ..., m satisfy p
i
(0) = q
i
(0) = 0, then there exists B ⊂ ℤ such that $
\bar d
$
\bar d
(B) > 0 and
|
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