SOME RESULTS ON THE FIFTH SINGER TRANSFER

... is countably Σ uniform extending if and only if M is Σ−quasi - injective Proof If M is countably Σ uniform extending, then M ⊕ M is uniform extending Since M ⊕ M has finite uniform dimension, ... Sciene, Mathematics - Physics 25 (2009) 9 -1 4 13 l(M1 ) = l(M2 ) = = l(Mn ) < ∞, the following conditions are equivalent : (a) M is Σ−quasi - injective; (b) M is counta...

Ngày tải lên: 13/02/2014, 03:20

... index from the element in A .The conception about the shadow of a set was used efficiently by many mathematicians as: Sperner, Kruskal, Katona, Clement, ? We shall study here the shadow of segments ... that the segment [d;b] satisfys conditions of corollary 2.2, we now imitate the above proof to finish the corollary Certaintly, the last corollary is a solution for o...

Ngày tải lên: 22/03/2014, 11:20

... An, T.D Phong, Some Results on Direct Sums of Uniform Modules, Contributions in Math and Applications, ICMA, December 2005, Mahidol Uni., Bangkok, Thailan, 235 [8] L.V An, Some Results on Uniform ... London, 1994 [2] S.H Mohamed, B.J Muller, Continuous and Discrete Modules, London Math Soc Lecture Note Ser Cambridge ¨ University Press, Vol 147 (1990) [3] H.Q Dinh, D.V Huynh, Some...

Ngày tải lên: 28/03/2014, 13:20

... definitions and some properties for the q-Bernoulli, Euler numbers, and polynomials related to the bosonic and the fermionic p-adic integral on Zp In Section 3, we obtain the generating functions of the ... functions of the q-Bernoulli, q-Euler numbers, and polynomials We shall provide some basic formulas for the q-Bernoulli and q-Euler polynomials whi...

Ngày tải lên: 18/06/2014, 22:20

... definitions and some properties for the q-Bernoulli, Euler numbers, and polynomials related to the bosonic and the fermionic p-adic integral on Zp In Section 3, we obtain the generating functions of the ... functions of the q-Bernoulli, q-Euler numbers, and polynomials We shall provide some basic formulas for the q-Bernoulli and q-Euler polynomials whi...

Ngày tải lên: 20/06/2014, 04:20

... by the q-Bernoulli, q-Euler numbers, and polynomials q-Bernoulli, q-Euler numbers and polynomials related to the Bosonic and the Fermionic p-adic integral on ℤp In this section, we provide some ... definitions and some properties for the q-Bernoulli, Euler numbers, and polynomials related to the bosonic and the fermionic p-adic integral on ℤp In Sec...

Ngày tải lên: 20/06/2014, 21:20

... al Advances in Difference Equations 2012, 2012:1 http://www.advancesindifferenceequations.com/content/2012/1/1 for some constant τ Here, we also study the shift analogue of Brück conjecture, and ... Funktionen und Differentialgleichungen Birkhäuser, Basel (1985) doi:10.1186/1687-1847-2012-1 Cite this article as: Liu et al.: Some results on difference polynomials sharing values...

Ngày tải lên: 20/06/2014, 21:20

... (B*), then A + B ≤ C + D Proof The proof is trivial and therefore omitted □ Minus partial ordering In this section, we present some results on the minus orderings of the matrix product and block ... authors [7-9] The results on matrix partial orderings and reverse order law were considered by Benitez et al [10] In this paper, we focus our attention on the pa...

Ngày tải lên: 21/06/2014, 00:20

... done for nonoscillation of all solutions of nonlinear functional differential equations In this connection, Parhi 10 established some sufficient conditions for oscillation of all solutions of the ... non-oscillation of solutions of some nonlinear differential equations of third order,” ¸ Nonlinear Dynamics and Systems Theory, vol 7, no 4, pp 419–430, 2007 2...

Ngày tải lên: 22/06/2014, 02:20

... follows Beside the introduction the paper contains three sections In the second section we recall some backgrounds concerning Lf (α, )- spaces and D3 (f ) and D4 (f ) properties Some results of Apiola ... S From now on, to be brief, whenever E has D3 (f ) property (resp D4 (f )) we write E ∈ D3 (f ) (resp E ∈ D4 (f ))...

Ngày tải lên: 06/08/2014, 05:20

... plurisubharmonic on D if ϕ is upper semi-continuous and the restriction of ϕ to the intersection of D with every complex line is subharmonic The cone of plurisubharmonic functions on D is denoted ... and Phung Van Manh pluripolarity of graphs and the holomorphicity of Hartogs type and of Forelli type (see Theorems 3.2 and 4.1 below) The paper is organiz...

Ngày tải lên: 06/08/2014, 05:20

... analogous conditions for other elements of the group and to certain subgroups In Section we recall some notation along with the basic construction of the Leech lattice and the group ·0 In Section we ... have described the Curtis form of the MOG To obtain the Conway form of the MOG, also commonly found in the literature, one need only swap over the rightmost two colum...

Ngày tải lên: 08/08/2014, 11:20

... [20] N Sum, On the Peterson hit problem, Adv Math 274 (2015), 432-489, MR3318156 [21] N Sum, On the Peterson hit problem of five variables and its applications to the fifth Singer transfer, East-West ... called the weight vector if ωi = for i SOME RESULTS ON THE FIFTH SINGER TRANSFER The sets of all the weight vectors and the sigma vectors are given the...

Ngày tải lên: 12/10/2015, 10:40

... x25 ON THE PETERSON HIT PROBLEM OF FIVE VARIABLES Proof Let x be an admissible monomial of degree 15 in P5 and ω(x) = (3, 4, 1) From the proof of Lemma 3.5, x is a permutation of one of the monomials ... = The theorem is proved ON THE PETERSON HIT PROBLEM OF FIVE VARIABLES 11 Proof of Theorem 1.3 First of all, we briefy recall the definiti...

Ngày tải lên: 16/10/2015, 09:25

... SOME RESULTS OF THE NANOWIRES GROWTH ON GALIUM ARSENIC SUBSTRATE BY 229 this method has been developing for growing the nanowires on GaAs substrate [5, 6, 7] The VLS mechanism consists of ... about the growth mechanisms in VLS method One could often consider the presence of the nearly spherical nanoparticles lying-staying on the tops...

Ngày tải lên: 30/10/2015, 20:56