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M. Z. Garaev 《Proceedings of the American Mathematical Society》2008,136(8):2735-2739
Let be the field of prime order It is known that for any integer one can construct a subset with such that One of the results of the present paper implies that if with then
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目的是研究局部传递图的性质和分类.运用置换群和陪集图的理论,获得了关于素数立方阶群局部传递图的完全分类,证明了这些图是一些互不相交的关于素数立方阶群边传递图的并. 相似文献
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Igor E. Shparlinski José Felipe Voloch 《Bulletin of the Brazilian Mathematical Society》2008,39(3):417-425
We view an algebraic curve over ℚ as providing a one-parameter family of number fields and obtain bounds for the average value
of some standard prime ideal counting functions over these families which are better than averaging the standard estimates
for these functions.
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Arash Ghaani Farashahi 《Linear and Multilinear Algebra》2017,65(12):2508-2529
Finite wave-packet groups, which generate structured wave-packet matrices, are given by finite groups of dilations, translations and modulations on an underlying finite field. For prime fields, we develop a representation theory approach to the matrix analysis of large class of systems including wave-packet matrices. We then study basic analytic aspects of wave-packet matrices over prime fields. 相似文献
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Shai Sarussi 《代数通讯》2017,45(1):411-419
Let T be a totally ordered set and let D(T) denotes the set of all cuts of T. We prove the existence of a discrete valuation domain Ov such that T is order isomorphic to two special subsets of Spec(Ov). We prove that if A is a ring (not necessarily commutative), whose prime spectrum is totally ordered and satisfies (K2), then there exists a totally ordered set U?Spec(A) such that the prime spectrum of A is order isomorphic to D(U). We also present equivalent conditions for a totally ordered set to be a Dedekind totally ordered set. At the end, we present an algebraic geometry point of view. 相似文献
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Alan K. Kingsbury Rodney Y. Sharp 《Proceedings of the American Mathematical Society》1996,124(6):1703-1711
Let be ideals of the commutative ring , let be a Noetherian -module and let be a submodule of ; also let be an Artinian -module and let be a submodule of . It is shown that, whenever is a sequence of -tuples of non-negative integers which is non-decreasing in the sense that for all and all , then Ass is independent of for all large , and also Att is independent of for all large . These results are proved without any regularity conditions on the ideals , and so (a special case of) the first answers in the affirmative a question raised by S. McAdam.
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In this article, we study the structure of finitely ramified mixed characteristic valued fields. For any two complete discrete valued fields and of mixed characteristic with perfect residue fields, we show that if the n-th residue rings are isomorphic for each , then and are isometric and isomorphic. More generally, for , there is depending only on the ramification indices of and such that any homomorphism from the -th residue ring of to the -th residue ring of can be lifted to a homomorphism between the valuation rings. Moreover, we get a functor from the category of certain principal Artinian local rings of length n to the category of certain complete discrete valuation rings of mixed characteristic with perfect residue fields, which naturally generalizes the functorial property of unramified complete discrete valuation rings. Our lifting result improves Basarab's relative completeness theorem for finitely ramified henselian valued fields, which solves a question posed by Basarab, in the case of perfect residue fields. 相似文献
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On sums of a prime and four prime squares in short intervals 总被引:1,自引:0,他引:1
Xian-Meng Meng 《Acta Mathematica Hungarica》2004,105(4):261-283
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On sums of a prime and four prime squares in short intervals 总被引:1,自引:1,他引:0
In this paper, we prove that each sufficiently large integer N ≠1(mod 3) can be written as N=p+p1^2+p2^2+p3^2+p4^2, with
|p-N/5|≤U,|pj-√N/5|≤U,j=1,2,3,4,
where U=N^2/20+c and p,pj are primes. 相似文献
|p-N/5|≤U,|pj-√N/5|≤U,j=1,2,3,4,
where U=N^2/20+c and p,pj are primes. 相似文献
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Giancarlo Bigi 《Mathematical Methods of Operations Research》2006,63(1):77-85
A second order sufficient optimality criterion is presented for a multiobjective problem subject to a constraint given just
as a set. To this aim, we first refine known necessary conditions in such a way that the sufficient ones differ by the replacement
of inequalities by strict inequalities. Furthermore, we show that no relationship holds between this criterion and a sufficient
multipliers rule, when the constraint is described by inequalities and equalities. Finally, improvements of this criterion
for the unconstrained case are presented, stressing the differences with single-objective optimization 相似文献
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In this paper, we study the structure of the finite group G given that certain subgroups of prime power order are well-situated, which means that they are normally complemented modulo their normal core.Received: 14 October 2004; revised: 12 January 2005 相似文献
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In this paper, we will calculate the number of Galois extensions of local fields with Galois group or .
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In this note it is proved that entire functions of the form Fa(z)=H(z)-aα(z)
where H andα are entire functions, with α having at least one zero, H' and α'having no common zeros and T(r, α) = S(r, H), are prime in entire sense for most values of a. The class of these functions is seen to contain examples of both periodic and non-periodic prime entire functions found by Noda, Qiao, Urabe and by Singh and Charak. Another result due to Singh and Charak will be improved as well. 相似文献
where H andα are entire functions, with α having at least one zero, H' and α'having no common zeros and T(r, α) = S(r, H), are prime in entire sense for most values of a. The class of these functions is seen to contain examples of both periodic and non-periodic prime entire functions found by Noda, Qiao, Urabe and by Singh and Charak. Another result due to Singh and Charak will be improved as well. 相似文献