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This result is a generalization of the Chevalley basis in case a simply-laced complex simple Lie algebra. Meanwhile, it generalizes also the corresponding Chevalley forms in case affine Lie algebras and 2- extended affine Lie algebras.

该结果是simply-laced复半单李代数情形下Chevalley基的推广，同时也是仿射李代数和2-扩大仿射李代数的相应Chevalley结构形式的推广。

This paper is devoted to the ultraproduct BCK-algebras and the fuzzy ultraproduct of fuzzy subsets of BCK-algebras were proposed by using the concept of ultrafilters with the corresponding properties of fuzzy ideals discussed.

通过使用超滤子的概念以及所讨论的模糊理想的相应性质，提出了超积BCK-代数和BCK-代数模糊子集的模糊超积。

Moreover, the ultraproduct lattice implication algebras and the fuzzy ultraproduct of fuzzy subsets of lattice implication algebras are proposed by using the concept of ultrafilters, with the corresponding properties of fuzzy filters, fuzzy associative filters and fuzzy lattice implication subalgebras being discussed.

另外，文中借助于超滤概念提出了格蕴涵代数簇的超积及格蕴涵代数中模糊子集的模糊超积，并进而研究了模糊滤子、模糊关联滤子及模糊子格蕴涵代数的相应性质。

For quantum mechanical control systems with structures of universal enveloping algebras, the thesis studies the enlargability of the universal enveloping algebras and the domain problems.

2对具有泛包络代数结构的量子力学控制系统，研究了泛包络代数的可扩张性和系统状态的定义域问题。

In this paper, we mainly study Lie color algebras; discuss the algebraical structure of Lie color algebras.

本文的主要目的就是研究着色李超代数，对这种代数结构进行一系列讨论。

Throughout the present paper, the author mainly discuss the complexification of n-Lie algebras and the classification of real simple n-Lie algebras.

就李代数而言，单李代数的复化和复李代数的实形是一个非常重要的问题，同时其分类也是人们关注的焦点，本文将这两个结论放在n-李代数中进行深入的研究。

They are to monadic predicate logic what Boolean algebras are to propositional logic, and what polyadic algebras are to first-order logic.

它们对应一元谓词逻辑，而布尔代数对应于命题逻辑，而多元代数对应于一阶逻辑。

The derived group series of p - semisimple BCI - algebras and the derived semigroup series of generalized a - associative BCI - algebras are given.

并给出了p-半单BCI-代数的一个导群列和广义a-结合BCI-代数的导半群列。

It is an interesting problem on realization of Lie algebras via Hall algebras.

用Hall代数的方法实现李代数是一个有趣的问题。

The theory of operator algebras' Lie structure is one of the most wealthiest fields of operator algebras from 1950's.

算子代数的Lie结构理论是上世纪50年代以来算子代数中富有成果的领域之一。

If you are unfortunate enough to the lovelorn, please tell me, I will help you out, really, please contact me!

如果你不幸失恋了，请告诉我，我会帮助你摆脱困境，真的，请联系我啦！

China's plan to cut energy intensity by 20 percent and pollutant discharges by 10 percent between 2006 and 2010 is a case in point.

中国计划在2006年到2010间降低20%的能源强度和减少10%的主要污染物排放，就是一个这样的例子。