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51.
Extensions of crossed modules in Lie algebras with abelian kernel are studied, particularly backward and forward induced extensions and related properties. The set Opext((U, Q, ), (R, K, )) of congruence classes of extensions of (R, K, ) by (U, Q, ) is endowed with a K-vector space structure. This K-vector space appears in a five-term natural and exact sequence associated with an extension of crossed modules.2000 Mathematics Subject Classification: 17B56, 17B99, 18G99 相似文献
52.
Zhu ZhengHe 《中国科学G辑(英文版)》2007,50(5):581-590
This work presents a new science called atomic and molecular reaction statics (AMRS). There are four parts for AMRS, i.e.
the group theoretical derivation of molecular electronic states, the principle of microscopic reversibility, the principle
of microscopic transitivity and the optimum energy process rule. AMRS has been developed for about twenty years. 相似文献
53.
We describe Novikov-Poisson algebras in which a Novikov algebra is not simple while its corresponding associative commutative
derivation algebra is differentially simple. In particular, it is proved that a Novikov algebra is simple over a field of
characteristic not 2 iff its associative commutative derivation algebra is differentially simple. The relationship is established
between Novikov-Poisson algebras and Jordan superalgebras.
Supported by RFBR (grant No. 05-01-00230), by SB RAS (Integration project No. 1.9), and by the Council for Grants (under RF
President) and State Aid of Leading Scientific Schools (project NSh-344.2008.1).
__________
Translated from Algebra i Logika, Vol. 47, No. 2, pp. 186–202, March–April, 2008. 相似文献
54.
Winfried K. Grassmann Steve Drekic 《Methodology and Computing in Applied Probability》2008,10(1):73-83
A number of authors have recently suggested solving quasi birth-and-death (QBD) processes through the use of eigenvalue-based
methods. These methods take on a special form when there are multiple eigenvalues present. We investigate this problem in
a general setting as well as in the context of a specific preemptive priority queueing model.
相似文献
55.
Hermite四点插指公式 总被引:2,自引:0,他引:2
颜宇生 《应用数学与计算数学学报》2008,22(1)
文章利用Hermite插值基函数,将求解Hermite四点插指问题转换为求解8个派生出来的多项式插值问题,证明了Hermite四点插指公式的存在唯一性,并用两种方法构造出Hermite四点插指公式,最后给出了一个算例. 相似文献
56.
设N是Banach空间X上的套,AlgN是相应的套代数。本文证明了,若套N中存在一个非平凡元在X中可补,那么AlgN上的每个可加Jordan高阶导子和每个可加三重Jordan高阶导子都是高阶导子。 相似文献
57.
求出了(n-3)-filiform李代数的极大环面,并证明了(n-3)-filiform李代数是可完备化的. 相似文献
58.
基于系统空间结构的分析 ,给出了求解系统约当规范形广义特征向量的新方法 .与 [1 ]中给出的方法相比 ,本文的方法更简单直接 .最后举例说明了方法的应用 . 相似文献
59.
Toshihiro Yamaguchi 《Czechoslovak Mathematical Journal》2005,55(4):997-1001
We give an example of a space X with the property that every orientable fibration with the fiber X is rationally totally non-cohomologous to zero, while there exists a nontrivial derivation of the rational cohomology of
X of negative degree. 相似文献
60.
Mona Khare Akhilesh Kumar Singh 《Journal of Mathematical Analysis and Applications》2008,344(1):238-252
The aim of this paper is to introduce and investigate the concept of pseudo-atoms of a real-valued function m defined on an effect algebra L; a few examples of pseudo-atoms and atoms are given in the context of null-additive, null-null-additive and pseudo-null-additive functions and also, some fundamental results for pseudo-atoms under the assumption of null-null-additivity are established. The notions of total variation |m|, positive variation m+ and negative variation m− of a real-valued function m on L are studied elaborately and it is proved for a modular measure m (which is of bounded total variation) defined on a D-lattice L that, m is pseudo-atomic (or atomic) if and only if its total variation |m| is pseudo-atomic (or atomic). Finally, a Jordan type decomposition theorem for an extended real-valued function m of bounded total variation defined on an effect algebra L is proved and some properties on decomposed parts of m such as continuity from below, pseudo-atomicity (or atomicity) and being measure, are discussed. A characterization for the function m to be of bounded total variation is established here and used in proving above-mentioned Jordan type decomposition theorem. 相似文献