SOME RESULTS ON THE FIFTH SINGER TRANSFER

Tài liệu Báo cáo "Some results on countably 1 Σ− uniform - extending modules " docx

... 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 countably Σ uniform - extending Proof ... conditions are equivalent: 14 L.V An, N.S Tung / VNU Journal of Sciene, Mathematics - Physics 25 (2009) 9 -1 4 (a) M is Σ−quasi - injective; (b) M is countably Σ uniform - extending Proof By Lemma 2 .10 ,...

Báo cáo " Some problem on the shadow of segments infinite boolean rings " doc

... 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 our key questions, in the case ... and B are two consecutive segments Therefore their union: ∆[a; b] = A ∪ B = IS(d) ∪ [h; c] = IS(c) is an initial segment The proof is completed We now get some useful consequences of this lemma...

Báo cáo " Some results on (IEZ)-modules " pdf

... 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 Results on ... Anderson, K.R Furler, Ring and Categories of Modules, Springer - Verlag, NewYork - Heidelberg - Berlin, 1974 [5] K.R Goodearl, R.B Warfield, An Introduction to Noncommutative Noetherian Rings, London...

Báo cáo sinh học: " Some results for the q-Bernoulli, q-Euler numbers and polynomials" ppt

... 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 which will be used to prove the main results of this ... by the q-Bernoulli, qEuler 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...

báo cáo hóa học:" Some results for the q-Bernoulli, q-Euler numbers and polynomials" ppt

Báo cáo toán học: " Some results for the q-Bernoulli, q-Euler numbers and polynomials" doc

... 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 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 qEuler polynomials which will be used to prove the main results of this...

Báo cáo toán học: " Some results on difference polynomials sharing values" doc

... 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 Advances in Difference ... Halburd, RG, Korhonen, R: Difference analogue of the lemma on the logarithmic derivative with applications to difference equatons J Math Appl 314, 477–487 (2006) Halburd, RG, Korhonen, R: Nevanlinna...

Báo cáo hóa học: " Some results on the partial orderings of block matrices" pptx

... (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 partial orderings of block matrices ... Yang: Some results on the partial orderings of block matrices Journal of Inequalities and Applications 2011 2011:54 Submit your manuscript to a journal and beneﬁt from: Convenient online submission...

Báo cáo hóa học: " Research Article New Results on the Nonoscillation of Solutions of Some Nonlinear Differential Equations of Third Order" docx

... 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 24 C Tunc, On the nonoscillation of solutions ... conditions for the nonoscillation of solutions of 1.1 Theorem 2.1 Let q t ≤ If limt → ∞ f t /|p t | nonoscillatory ∞, then all bounded solutions of 1.1 are Proof Let y t be a bounded solution...

Báo cáo toán học: "Some Results on the Properties D3 (f ) and D4 (f )" ppsx

... 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 )) Some Auxiliary Results Proposition 3.1 Let −→ ∞ T (I)⊗Π Lf (α, ) −→ E −→ F ... also a neighborhood basis of ∈ (I)⊗Π Lf (α, ) We may assume that ( (I)⊗Π Lf (α, )) Vk = ( (I)⊗Π Lf (α, )) k Some Results on the Properties D3 (f ) and D4 (f ) for k Thus for each k 143 we have...

Báo cáo toán học: "Some Results on the Relation Between Pluripolarity of Graphs and Holomorphicity" ppt

... 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 organized as follows Beside the introduction, ... we prove the following result Some Results on the Relation Between 277 Theorem 3.1 Let p be a non-constant holomorphic function on Cm \ S, where S is a hypersurface in Cm and f is a continuous...

Báo cáo toán học: "Some design theoretic results on the Conway group ·0" pps

... 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 columns the electronic journal of ... The Leech Lattice, Λ and the Conway Group ·0 Revisited” to appear in the Transactions of the AMS [2] J.H Conway “A perfect group of order 8,315,553,613,086,720,000 and the Sporadic Simple Groups”...

SOME RESULTS ON THE FIFTH SINGER TRANSFER

... [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 left lexicographical order For a weight vector ... that if µ(n) k, then there exists uniquely a minimal spike of degree n in Pk The following is a criterion for the hit monomials in Pk Theorem 2.4 (Singer [17]) Suppose x ∈ Pk is a monomial of degree...

ON THE PETERSON HIT PROBLEM OF FIVE VARIABLES AND ITS APPLICATIONS TO THE FIFTH SINGER TRANSFER

... 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 definition of the Singer transi fer Let P1 be the submodule of ... compute (QP5 )GL 15 ON THE PETERSON HIT PROBLEM OF FIVE VARIABLES is an F2 -vector space of dimension with a basis conTheorem 1.2 (QP5 )GL 15 sisting of the classes represented by the following polynomials:...

SOME RESULTS OF THE NANOWIRES GROWTH ON GALIUM ARSENIC SUBSTRATE BY VLS METHOD SOME THEORETICAL ASPECTS OF THE GROWTH MECHANISMS AND ABNORMAL PHENOMENA

... 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 of the nanowires to be a strong evidence of the vapor-liquid-solid ... increases by an amount dh and the radius of the contact area decreases by an amount dr, then the nanowire growth continues, the inclination angle (α) at the base of the nanowires increases from the...

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