共查询到20条相似文献,搜索用时 93 毫秒
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本文建立了并素元有限生成格的弱直积分解,并给出一个解决并素元生成的完全Heyting代数的直积分解问题的新方法;作为弱直积分解的应用,证明了并素元有限生成的完全Heyting代数必然同构于有限个既约的完全Heyting代数的直积,证明了并素元有限生成格是Boole代数的充要条件是它同构于某有限集的幂集格. 相似文献
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本文确定了具有同构于2p 阶二面体群的极大子群的全部有限单群,进而得到了对于具有素数次二面体群次成份的本原置换群的一个完全分类. 相似文献
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<正> 熟知地,满足极小条件的单纯环只与一个有限维向量空间的线性变换的完全环同构.并且此向量空间如取为左向量空间的话,那末R的任一极小右理想均可取为此左向量空间.在没有有限条件情况下,Jacobsoo用本原环来取代这种单纯环.接着Wolfson研 相似文献
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研究某些子群同构的有限p-群是很有趣的.例如,Hermann和Mann都曾研究过极大子群都同构的有限p-群,但这类群的结构非常复杂,到现在人们都没能给出其分类.研究了特定阶的子群都同构且交换的有限p-群,并给出其分类. 相似文献
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主要研究对象是强双幺半群上的确定权重有限自动机A.首先给出了A上的同态定理和同构定理;接着,构造了识别φ的一个极小自动机Aφ;最后,证明极小自动机在同构意义下是唯一的. 相似文献
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用群的共轭类个数刻画了交换群,同时用一个很简洁的方法重新证明了Frobenius G提出的一个著名问题:对于一个固定的数自然数n,共轭类数为n的有限群,在同构的意义下是有限的. 相似文献
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对于有限维C*-代数A,证明了其本质扩张的同构与酉等价是一致的,由此证明了扩张群Ext(A)中的等价类是区分该类扩张代数的完全不变量,并利用Bratteli图计算出它们的维数群. 相似文献
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A group is called extended residually finite (ERF) if every subgroup is closed in the profinite topology. The ERF-property is studied for nilpotent groups, soluble groups, locally finite groups and FC-groups. A complete characterization is given of FC-groups which are ERF. 相似文献
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Barbora Batíková 《Topology and its Applications》2009,156(12):2123-2128
A topology of a quasi-topological group is induced by several natural semi-uniformities, namely right, left, two-sided and Roelcke semi-uniformities. A quasi-topological group is called complete if every Cauchy (in some sense—we examine several generalizations of Cauchy properties) filter on the two-sided semi-uniformity converges.We use the theory of Hausdorff complete semi-uniform spaces, see [B. Batíková, Completion of semi-uniform spaces, Appl. Categor. Struct. 15 (2007) 483-491], and show that Hausdorff complete quasi-topological groups form an epireflective subcategory of Hausdorff quasi-topological groups. But the reflection arrows need not be embeddings.For several types of Cauchy-like properties we show examples of quasi-topological groups that cannot be embedded into a complete group. 相似文献
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S. Feigelstock 《Acta Mathematica Hungarica》1998,79(1-2):31-34
A ring R is unequivocal if for every radical S, either S(R) = 0 or S(R) = R. A complete classification of the additive groups of unequivocal rings, which are not reduced torsion free, is given. The almost completely decomposable torsion free groups which are additive groups of unequivocal rings are also described completely. 相似文献
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S. Ya. Grinshpon 《Mathematical Notes》1973,14(5):979-982
A complete answer is given to the question, does isomorphism of the endomorphism groups of primary Abelian groups imply isomorphism of the groups themselves ? It is presumed that the generalized continuum hypothesis is valid. 相似文献
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分析了以箱组为任务对象QCSP与以整贝为任务对象QCSP的异同,指出前者更能均衡各岸桥作业负荷,并减少船舶装卸作业时间。考虑到岸桥具有作业效率差异的特点,将其视为同类平行机调度问题,同时结合任务优先约束、岸桥作业不可相互穿越与安全距离等特有约束,建立了更加符合实际的以箱组为任务对象的岸桥作业调度混合整数规划模型,其优化目标是最小化装卸作业的makespan。针对模型求解的复杂度,设计了一种遗传算法,对算法搜索空间进行了讨论,并推导了问题的低界。实验算例表明所建立的模型能够反映岸桥作业调度过程中作业效率差异及任务优先约束现象,其算法能够在允许的运算时间内获得稳定的满意解,并且优化结果要全面优于以整贝为任务对象QCSP的调度方案。 相似文献
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V. E. Voskresenskii 《Journal of Mathematical Sciences》1981,17(4):1975-1987
R-equivalence on the unimodular group of a simple algebra is studied in detail. A rather complete characterization is obtained for the R-equivalence group of semisimple groups over the field of -adic numbers. In this case all the Manin groups are commutative, and for simply connected groups, they are trivial. It is shown how R-equivalence can be applied to the weak approximation problem.Translated from Zapiskii Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova, Vol. 86, pp. 49–65, 1979. 相似文献