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环面上一般有根地图的计数 总被引:1,自引:0,他引:1
这篇文章给出了环面上以内面个数,根面次和非根节点个数为参数的一般有根地图的计数方程,导出了以内面个数和非根节点个数为参数的这类地图的计数方程的精确解。作为推论,推出了以边数为参数的这类地图的个数,其近似解在文献[2]中已讨论。 相似文献
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本文首先解决了有根无环欧拉地图依边数的三次计数方程的求解问题,同时提供一种有效的计数方法对先前的一些相关结果及其推导过程进行了必要的改进. 相似文献
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本文首先证明了:环为左非奇异左CS-环当且仅当它为左余非奇异Baer环,然后给出左遗传左CS-环,正则左遗传左CS-环和左遗传左连续环的某些刻划. 相似文献
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利用矩阵足码集的一个k-级划分,得出了非奇异H-矩阵的几个新的判定条件,改进和推广了一些相关结果,并用数值例子说明了结论的有效性. 相似文献
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对一般群分次环境立了弱分次周期根的概念,证明它是一个分次特殊根,给出了它的分次模刻,讲座了它与自反周期根的关系。 相似文献
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本文讨论的环,概指结合环,环 R 说是一个 MHR 环,如果 R 对主右理想有极小条件。我们知道,对于 Artin 环来说,Jacobson 根与 Baer 根在强意下一致(见[1],7.1c),而 Jacobson 根与 Z 根(即一切平凡单环决定的下根)在弱意义下一致(见[1],引理[28],本文证明,上述结果对 MHR 环也成立,作为推论,给出[2]中问题37的肯定回答:每一个 MHR 诣零环是 Z 根环。 相似文献
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利用外FC-群的结果,给出了其真商群为周期FC-群但它本身不具备这种性质的群的结构的满意描述. 相似文献
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In this paper, we prove that if R is a Min-E ring, then the following statements are equivalent: (1) Every left primitive factor ring of R is left artinian; (2) R is a -regular ring; (3) R is an Exchange ring; (4) R is a Clean ring. As an application, we obtain that if R is Min-E ring, every left primitive factor ring of R is artinian and any direct product of them is a Min-E ring, then every non-zero homomorphic image of R contains only a finite number of prime ideals. When R is Min-E ring and has no infinite set of orthogonal idempotents, a left R-module M is Min-E if and only if M is Max-E. Also, we show, if R is a strongly clean Min-E ring, then R is directly finite and has stable range 1.AMS Subject Classification (1991) 16A30 16P20The research presented is this paper by an ECF grant of Zhejiang Province, China 相似文献
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S. Tumurbat 《Acta Mathematica Hungarica》2001,93(1-2):99-108
Principally left strong radicals were introduced in [4]. Here, we continue to study such radicals. Principally left strong
radicals and their semisimple classes are characterized in Section 2. Sections 3 and 4 are devoted to the lower principally
left strong radical construction and to the upper principally left strong radical construction, respectively.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
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A subgroup H is called S-seminormal in a finite group G if H permutes with all Sylow p-subgroups of G with (p, |H| =1. The main object of this paper is to generalize some known results about finite supersolvable groups to a saturated formation containing the class of finite supersolvable groups. 相似文献
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Computational Mathematics and Mathematical Physics - There exists a large set of real symmetric matrices whose entries are linear functions in several variables such that each matrix in this set is... 相似文献
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ALiealgebraiscalledsplittableifboththesendshoplepartandthenilpotelltpartofitsinnerderivationarestillixmerderivations.OnecanprovethstaalgebraicLiealgebra(specially,acompleteLiealgebra)issplittable.Itseemsnaturaltoinvestigatefurtherpropertiesofthesplit... 相似文献
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Siberian Mathematical Journal - We prove the local finiteness of some periodic groups generated by odd transpositions. As a consequence of our results we will show that the Suzuki simple groups... 相似文献