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1.
This paper enlarges the list of properties of the congruence sequences starting from the universal relation and successively
performing the operations of lower T and lower K. Two classes of inverse semigroups, namely Eω-Clifford semigroups and Eω-E-reflexive semigroups, are studied. ((ω
T
)
K
)
T
and (((ω
T
)
K
)
T
)
K
are found to be the least Eω-Clifford and Eω-E-reflexive congruences on S, respectively. Characterizations of the congruences ((ω
T
)
K
)
T
and (((ω
T
)
K
)
T
)
K
are developed. The lattices of all Eω-Clifford and Eω-E-reflexive congruences are also studied. 相似文献
2.
Emrah Kilic 《Proceedings Mathematical Sciences》2008,118(1):27-41
In this paper, we consider generalized Fibonacci type second order linear recurrence {u
n
}. We derive a generating matrix for both the sums of squares, ∑
i=0
n
u
i
2 and the products of the form u
n
u
n+2. We also derive explicit formulas for the sums and products by using matrix methods. Then we give a matrix method to generate
the sums of product of two consecutive terms u
n
u
n+1 as well as the product, u
n
u
n+2. Further we give generating functions and combinatorial representations of the sums of squares of terms of {u
n
} and the product, u
n
u
n+2. 相似文献
3.
Given 1≤ p,q < ∞, let BLpLq be the class of all Banach lattices X such that X is isometrically lattice isomorphic to a band in some Lp(Lq)-Banach lattice. We show that the range of a positive contractive projection on any BLpLq-Banach lattice is itself in BLpLq. It is a consequence of this theorem and previous results that BLpLq is first-order axiomatizable in the language of Banach lattices. By studying the pavings of arbitrary BLpLq-Banach lattices by finite dimensional sublattices that are themselves in this class, we give an explicit set of axioms for
BLpLq. We also consider the class of all sublattices of Lp(Lq)-Banach lattices; for this class (when p/q is not an integer) we give a set of axioms that are similar to Krivine’s well-known axioms for the subspaces of Lp-Banach spaces (when p/2 is not an integer). We also extend this result to the limiting case q = ∞. 相似文献
4.
Michael Schlosser 《The Ramanujan Journal》2008,17(3):305-319
By multidimensional matrix inversion, combined with an A
r
extension of Jackson’s 8
φ
7 summation formula by Milne, a new multivariable 8
φ
7 summation is derived. By a polynomial argument this 8
φ
7 summation is transformed to another multivariable 8
φ
7 summation which, by taking a suitable limit, is reduced to a new multivariable extension of the nonterminating 6
φ
5 summation. The latter is then extended, by analytic continuation, to a new multivariable extension of Bailey’s very-well-poised
6
ψ
6 summation formula.
Partly supported by FWF Austrian Science Fund grants P17563-N13, and S9607 (the second is part of the Austrian National Research
Network “Analytic Combinatorics and Probabilistic Number Theory”). 相似文献
5.
Soltan 《Discrete and Computational Geometry》2003,29(4):561-573
Abstract. Generalizing the characteristic intersection property of Choquet simplices, it is proved that for line-free convex bodies
B
1
and B
2
in E
d
, the following conditions are equivalent: (i) there is a line-free convex body B ⊂ E
d
such that every nonempty intersection B
1
∩ (v + B
2
) , v ∈ E
d
, is a homothetic copy of B , (ii) both B
1
and B
2
are Choquet simplices and the nonempty intersections B
1
∩ (v + B
2
) , v ∈ E
d
, are homothetic copies of a Choquet simplex B . All such triplets B
1
,B
2
,B are described. 相似文献
6.
Novikov superalgebras are related to quadratic conformal superalgebras which correspond to the Hamiltonian pairs and play
a fundamental role in completely integrable systems. In this note we show that the Novikov superalgebras with A
0 = A
1
A
1 and dim A
1 = 2 are of type N and give a class of Novikov superalgebras of type S with A
0 = A
1
A
1. 相似文献
7.
ChangJian Zhao 《中国科学A辑(英文版)》2008,51(12):2172-2188
In this paper the author first introduce a new concept of L
p
-dual mixed volumes of star bodies which extends the classical dual mixed volumes. Moreover, we extend the notions of L
p
intersection body to L
p
-mixed intersection body. Inequalities for L
p
-dual mixed volumes of L
p
-mixed intersection bodies are established and the results established here provide new estimates for these type of inequalities.
This work was supported by the Natural Science Foundation of Zhejiang Province of China (Grant No. Y605065) and the Foundation
of the Education Department of Zhejiang Province of China (Grant No. 20050392) 相似文献
8.
Milutin R. Dostanić 《Czechoslovak Mathematical Journal》2008,58(2):569-575
We give some explicit values of the constants C
1 and C
2 in the inequality C
1/sin(π/p) ⩽ |P|
p
⩽ C
2/sin(π/p) where |P|
p
denotes the norm of the Bergman projection on the L
p
space.
Partially supported by MNZZS Grant No. ON144010. 相似文献
9.
Humio Ichimura 《Archiv der Mathematik》2011,96(6):555-563
Let p be an odd prime number, and pn0{p^{n_0}} the highest power of p dividing 2
p−1 − 1. Let Kn=Q(zpn+1){K_n={\bf Q}(\zeta_{p^{n+1}})} and Ln,j=Kn+(z2j+2){L_{n,j}=K_n^+(\zeta_{2^{j+2}})} for j ≥ 0. Let hn*{h_n^*} be the relative class number of K
n
, and h
n,j
the class number of L
n,j
, respectively. Let n be an integer with n ≥ n
0. We prove that if the ratio hn*/hn-1*{h_n^*/h_{n-1}^*} is odd, then h
n,j
/h
n−1,j
is odd for any j ≥ 0. 相似文献
10.
The Petty Projection Inequality for Lp-Mixed Projection Bodies 总被引:7,自引:0,他引:7
Wei Dong WANG Gang Song LENG 《数学学报(英文版)》2007,23(8):1485-1494
Recently, Lutwak, Yang and Zhang posed the notion of Lp-projection body and established the Lp-analog of the Petty projection inequality. In this paper, the notion of Lp-mixed projection body is introduced--the Lp-projection body being a special case. The Petty projection inequality, as well as Lutwak's quermassintegrals (Lp-mixed quermassintegrals) extension of the Petty projection inequality, is established for Lp-mixed projection body. 相似文献
11.
Frank Aurzada 《Journal of Theoretical Probability》2007,20(4):843-858
We investigate the behaviour of the logarithmic small deviation probability of a sequence (σ
n
θ
n
) in l
p
, 0<p≤∞, where (θ
n
) are i.i.d. random variables and (σ
n
) is a decreasing sequence of positive numbers. In particular, the example σ
n
∼n
−μ
(1+log n)−ν
is studied thoroughly. Contrary to the existing results in the literature, the rate function and the small deviation constant
are expressed expli- citly in the present treatment. The restrictions on the distribution of θ
1 are kept to an absolute minimum. In particular, the usual variance assumption is removed. As an example, the results are
applied to stable and Gamma-distributed random variables. 相似文献
12.
For given a graph H, a graphic sequence π = (d
1, d
2,..., d
n) is said to be potentially H-graphic if there is a realization of π containing H as a subgraph. In this paper, we characterize the potentially (K
5 − e)-positive graphic sequences and give two simple necessary and sufficient conditions for a positive graphic sequence π to
be potentially K
5-graphic, where K
r is a complete graph on r vertices and K
r-e is a graph obtained from K
r by deleting one edge. Moreover, we also give a simple necessary and sufficient condition for a positive graphic sequence
π to be potentially K
6-graphic.
Project supported by National Natural Science Foundation of China (No. 10401010). 相似文献
13.
Lower estimates for the mazimal weight multiplicities in irreducible representations of algebraic groups of type D
n
in characteristic 2 are found. lf n ≥ 8, then either such a multiplicity is at least n—4— [n]4, where [n]4 is the residue of n modulo 4, or all of its weight multiplicities arc equal to 1. For groups of types B
n
and D
n
in odd characteristic and of type C
n
, in characteristics greater than 7, similar results were obtained earlier. Bibliography: 11 titles. 相似文献
14.
Jinjin Li 《Czechoslovak Mathematical Journal》2005,55(4):941-945
In this note we study the relation between k
R
-spaces and k-spaces and prove that a k
R
-space with a σ-hereditarily closure-preserving k-network consisting of compact subsets is a k-space, and that a k
R
-space with a point-countable k-network consisting of compact subsets need not be a k-space.
This work was supported by the NSF of China (10271056). 相似文献
15.
For a field F,let Gn(F) = {{a,Φn(a)} ∈ K2(F) | a,Φn(a) ∈ F*},where Φn(x) is the n-th cyclotomic polynomial.At first,by using Faltings' theorem on Mordell conjecture it is proved that if F is a number field and if n = 4,8,12 is a positive integer having a square factor then Gn(F) is not a subgroup of K2(F),and then by using the results of Manin,Grauert,Samuel and Li on Mordell conjecture theorem for function fields,a similar result is established for function fields over an algebraically closed field. 相似文献
16.
Florentina Chirte§ 《Central European Journal of Mathematics》2005,3(1):105-124
The aim of this paper is to define the localization LM
n
-algebra of an LM
n
—algebra L with respect to a topology F on L; in Section 5 we prove that the maximal LM
n
-algebra of fractions (defined in [3]) and the LM
n
-algebra of fractions relative to an Λ—closed system (defined in Section 2) are LM
n
-algebras of localization. 相似文献
17.
An f-coloring of a graph G is an edge-coloring of G such that each color appears at each vertex v V(G) at most f(v) times. The minimum number of colors needed to f-color G is called the f-chromatic index of G and is denoted by X′f(G). Any simple graph G has the f-chromatic index equal to △f(G) or △f(G) + 1, where △f(G) =max v V(G){[d(v)/f(v)]}. If X′f(G) = △f(G), then G is of f-class 1; otherwise G is of f-class 2. In this paper, a class of graphs of f-class 1 are obtained by a constructive proof. As a result, f-colorings of these graphs with △f(G) colors are given. 相似文献
18.
This paper considers some random processes of the form X
n+1=T
X
n
+B
n
(mod p) where B
n
and X
n
are random variables over (ℤ/pℤ)
d
and T is a fixed d×d integer matrix which is invertible over the complex numbers. For a particular distribution for B
n
, this paper improves results of Asci to show that if T has no complex eigenvalues of length 1, then for integers p relatively prime to det (T), order (log p)2 steps suffice to make X
n
close to uniformly distributed where X
0 is the zero vector. This paper also shows that if T has a complex eigenvalue which is a root of unity, then order p
b
steps are needed for X
n
to get close to uniformly distributed for some positive value b≤2 which may depend on T and X
0 is the zero vector. 相似文献
19.
We examine some designs and binary codes constructed from the primitive permutation representations of the groups PSL
2(8) and PSL
2(9). For PSL
2(8) of degree 36, we construct a design and its code with the automorphism groups PSL
2(8) and S
9, respectively. For PSL
2(8) of degree 36 and PSL
2(9) of degree 15, we construct some designs and its codes invariant under the groups S
9 and A
8, respectively. The weight distribution and the dual of these codes are determined. By considering the action of automorphism
groups on some of these codes, we obtain the structure of the stabilizer for every codeword and construct some designs such
that S
9 or A
8 act primitively on them.
相似文献
20.
We show that an infinite cyclic covering space M′ of a PD
n
-complex M is a PD
n-1-complex if and only if χ(M) = 0, M′ is homotopy equivalent to a complex with finite [(n−1)/2]-skeleton and π1(M′) is finitely presentable. This is best possible in terms of minimal finiteness assumptions on the covering space. We give
also a corresponding result for covering spaces M
ν with covering group a PD
r
-group under a slightly stricter finiteness condition.
相似文献