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In this paper, we determine the structures of the transfer ideal and its radical ideal for the ring of polynomials F p[x, y] under the action of dihedral group D2 p in the modular case. We mainly use Transfer variety, p order elements, and Hilbert’s Nullstellensatz Theorem. 相似文献
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This paper is devoted to constructing an authentication code with arbitration using subspaces of vector spaces over finite fields.Moreover,if we choose the encoding rules of the transmitter and the decoding rules of the receiver according to a uniform probability distribution,then some parameters and the probabilities of successful attacks are computed. 相似文献
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The present note determines the structure of the K2-group and of its subgroup over a finite commutative ring R by considering relations between R and
finite commutative local ring Ri (1 < i < m), where R Ri and K2(R) =
K2(Ri). We show that if charKi= p (Ki denotes the residual field of Ri), then
K2(Ri) and its subgroups must be p-groups. 相似文献
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利用有限域上非零向量的道路图结构与内积构作结合方案 总被引:2,自引:0,他引:2
Um(n,R)表示域F上n元非零向量之集.本文先确定了有限域上n≥5维非零向量的道路图结构,然后利用有限域Fq上Um(n,R)/EnR中具有相同范数的向量的道路图结构与内积构作了具有多个结合的结合方案,并计算出相应的参数. 相似文献
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本文利用有限局部环Z/pαZ上的1×n矩阵集合构作具α个结合类的方案与PBIB设计,并计算了它们的参数. 相似文献
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Let F be a field with characteristic 0, V = Fn the n-dimensional vector space over F and let G be a finite pseudo-reflection group which acts on V . Let χ : G→ F* be a 1- dimensional representation of G. In this article we show that χ(g) = (detg)α(0 ≤ α ≤ r - 1), where g ∈ G and r is the order of g. In addition, we characterize the relation between the relative invariants and the invariants of the group G, and then we use Molien’s Theorem of invariants to compute the Poincar′e series of relative invariants. 相似文献
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在本文中,我们完全刻画了模素数方幂高斯整数环上的单位凯莱图、单位图以及全图的自同构群. 相似文献
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In this paper, a new class of rings, called FIC rings, is introduced for studying quasi-zero-divisor graphs of rings. Let R be a ring. The quasi-zero-divisor graph of R, denoted by Γ_*(R), is a directed graph defined on its nonzero quasi-zero-divisors, where there is an arc from a vertex x to another vertex y if and only if x Ry = 0. We show that the following three conditions on an FIC ring R are equivalent:(1) χ(R) is finite;(2) ω(R) is finite;(3)Nil_*R is finite where Nil_*R equals the finite intersection of prime ideals. Furthermore, we also completely determine the connectedness, the diameter and the girth of Γ_*(R). 相似文献