搜索结果: 1-13 共查到“代数学 prime”相关记录13条 . 查询时间(0.093 秒)
On the stratification of noncommutative prime spectra
algebraic group rational action algebraic torus rational ideal prime spectrum stratification
2012/6/6
We study rational actions of an algebraic torus G by automorphisms on an associative algebra R. The G-action on R induces a stratification of the prime spectrum of R which was introduced by Goodearl a...
On the stability of weight spaces of enveloping algebra in prime characteristic
enveloping algebra prime characteristic
2010/11/15
By the result of Dixmier, any weight space of enveloping algebra of Lie algebra L over a field of characteristic 0 is adL stable. In this paper we will show that this result need not be true, if F is...
Relatively Prime Polynomials and Nonsingular Hankel Matrices over Finite Fields
Relatively Prime Polynomials Nonsingular Hankel Matrices
2010/11/12
The probability for two monic polynomials of a positive degree n with coefficients in the finite field F_q to be relatively prime turns out to be identical with the probability for an n x n Hankel ma...
We show that the set of the numbers that are the sum of a prime and a Fibonacci number has positive lower asymptotic density
An improved sum-product inequality in fields of prime order
sum-product inequality prime order
2010/11/18
This note improves the best known exponent 1/12 in the prime field sum-product inequality (for small sets) to 1/11, modulo a logarithmic factor.
Some new super-congruences modulo prime powers
super-congruences modulo prime powers math
2010/11/22
Let $p>3$ be a prime. We show that $$\sum_{k=0}^{p-1}\binom(-1/(p+1),k)^{p+1}=0 (mod p^5).$$ For any positive integer m not divisible by p, we prove that $$\sum_{k=0}^{p-1}(-1)^{km}\binom(p/m-1,k)^m=0...
An Asymptotic for the Number of Solutions to Linear Equations in Prime Numbers from Specified Chebotarev Classes
symptotic for the Number of Solutions to Linear Equations Prime Numbers Specified Chebotarev Classes
2010/12/1
An Asymptotic for the Number of Solutions to Linear Equations in Prime Numbers from Specified Chebotarev Classes.
Set Systems with L-intersections modulo a Prime Number
Erdö s-Ko-Rado Theorem Frankl-Ray-Chaudhuri-Wilson Theorems Frankl-Füredi’s conjecture Snevily's conjecture
2014/6/3
Let p be a prime and let L = {l1, l2,..., ls} and K = {k1, k2,... kr} be two subsets of {0, 1, 2,..., p-1} satisfying max lj < min ki. We will prove the following results: If F = {F1, F2,..., Fm} is a...
Sums of five Almost Equal Prime Squares
2007/12/12
In this paper we sharpen Hua's result by proving that each sufficiently large integer $N$ congruent to 5 modulo 24 can be written as $$N=p_1^2+p_2^2+p_3^2+p_4^2+p_5^2, \mbox{ with } |p_j-\sqrt{N/5}| \...
The Exceptional Set in the Two Prime Squares and a Prime Problem
circle method Cauchy's inequality Siegel zero Dirichlet character
2007/12/11
In this paper we prove that, with at most $O(N^{\frac{5}{12}+\varepsilon})$ exceptions, all positive odd integers $n\leq N$ with $n\equiv 0 \, {\rm or} \ 1\, (\bmod\; 3) $ can be written as a sum of a...
PRIME SUBMODULES AND FLAT MODULES
flat and absolutely flat modules generalized principal ideal theorem prime submodules rank of modules
2007/12/11
In this paper, some characterizations of prime submodules in flat modules and, particularly, in free modules are given. Furthermore, the height of prime submodules and some saturated chain of prime su...
On Derivations of Prime Gamma Rings
Derivation gamma ring prime gamma ring quotient gamma ring
2010/3/1
We consider some results in a G-ring M with derivation which is related to Q, and the quotient G-ring of M.
RINGS IN WHICH STRONGLY PRIME RIGHT IDEALS ARE FINITELY GENERATED
PRIME RIGHT IDEALS FINITELY GENERATED
2010/3/17
Some properties of rings in which every strongly prime right ideal is finitely generated will be investigated, and sufficient conditions for such rings to be right noetherian will be given. Let R be a...