共查询到18条相似文献,搜索用时 109 毫秒
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设D是扩充复平面R-2中的单连通Jordan真子域,D*=R-2\D-是D的外部.本文肯定并证明 了K.Hag在1999年提出的如下两个悬而未决的问题:(1)D是Cigar域当且仅当D是OLC域; (2)D是Turning域当且仅当D*是Cigar域. 相似文献
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Bezier曲面是CAD/CAM中应用最为广泛的曲面之一。它可分为两类:矩形域上张量积形式的Bezier曲面:三角域上的Bezier曲面: 相似文献
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作为H.F.Trotter[3]中一个结果的模拟,本文给出实二次函数域K中基本单位ε的范为N(ε)=g的一些充分必要条件,其中g为K的常数域Fq的非零乘法群Fq^*的生成元(2├q)。利用图论的语言,本文还给出了N(ε)=g的一些充分条件,这些条件对于数域也同样地适用,从而推广了Trotter[3]和前人工作中关于充分条件的结果。 相似文献
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本文研究了稍微广泛的一类Hartogs型域的自同构群.利用华域的自同构群,获得了一类有界对称域上的Hartogs型域的自同构群的具体形式,推广了有界对称域上的Hartogs型域的自同构群这一结果. 相似文献
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An integral domain without irreducible elements is called an antimatter domain. We give some monoid domain constructions of antimatter domains. Among other things, we show that if D is a GCD domain with quotient field K that is algebraically closed, real closed, or perfect of characteristic p > 0, then the monoid domain D[X; ?+] is an antimatter GCD domain. We also show that a GCD domain D is antimatter if and only if P?1 = D for each maximal t-ideal P of D. 相似文献
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We characterize all finite p-groups G of order p n (n ≤ 6), where p is a prime for n ≤ 5 and an odd prime for n = 6, such that the center of the inner automorphism group of G is equal to the group of central automorphisms of G. 相似文献
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This paper has demonstrated that the Schwartz alternating process must converge if D-N alternating process has converged. Its technique is that the overlapping regions in Schwartz alternating process are considered as independent domains, then Schwartz alternating process could be transformed into D-N alter-nating process. Finally the convergence estimation of Schwartz alternating process could be obtained. The results show that its convergence rate is same as that of D-N alternating process. 相似文献
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D. D. Anderson 《代数通讯》2013,41(12):4501-4513
Let D be an integral domain such that every nonzero nonunit of D is a finite product of irreducible elements. In this article, we introduce and study several unifying concepts for the theory of nonunique factorization in D. They give a new way to measure, in some sense, how far an half-factorial domain (resp., bounded factorization domain, atomic domain) D is from being a UFD (resp., finite factorization domain, Cohen–Kaplansky domain) based on equivalence relations on the set of irreducible elements of D. 相似文献
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《代数通讯》2013,41(4):1633-1642
Abstract Let D be an integral domain, S ? D a multiplicative set such that aD S ∩ D is a principal ideal for each a ∈ D and let D (S) = ? s∈S D[X/s]. It is known that if D is a Prüfer v-multiplication domain (resp., generalized GCD domain, GCD domain), then so is D (S) respectively. When D is a Noetherian domain, we obtain a similar result for the power series analog D ((S)) = ? s∈S D[[X/s]] of D (S). Our approach takes care simultaneously of both cases D (S) and D ((S)). 相似文献
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GINDIKIN Simon 《中国科学A辑(英文版)》2006,49(11):1655-1661
We discuss some problems on rigidity of canonical realizations of complex homogeneous domains at ℂn
Dedicated to Professor Sheng GONG on the occasion of his 75th birthday 相似文献