查询词典 restricted lie algebra

The article applies the multivector algebra which is isomorphism with the real Dirac algebra in the real space-time adopted by Venzo de Sabbata to the contact number of set pair analysis, and consequently, t...

试图将VenzodeSabbata教授所采用的与Dirac代数同构的实时空中的多重向量代数应用于集对分析中的联系数，从而相应地推广了联系数的范畴。

Whenp≠0 and q is an n -th primitive root of unity,H has an n~4 -dimensionalquotient algebra H_n isomorphic to DA_n(q~(-1),which is the Drinfeldquantum double of n~2 -dimensional Taft algebra Anq~(-1. This distinguishedproperty draws people's interesting on H .

由于当p≠0，q为n次本原单位根时，H有一个n~4 -维商代数H_n同构于n~2 -维Taft代数A_nq~(-1的Drinfeld quantum double DA_n(q~(-1)，这样一个很好的性质使人们对H表现出极大的兴趣。

We study the properties of $BR_0$-algebra and the total complication triple I method on complete $BR_0$-algebra, and we apply the results to $R_0$-Unite interval $\overline{W}$. Not only we have simplified the proof of the results of $R_0$-type triple I method on $R_0$-Unite interval $\overline{W}$, but also we make the proof to combine with the formal deductive system for fuzzy propositional calculus. This work also explains that the $R_0$-type triple I method is a matching fuzzy inference with $B{\cal L}^*$ system.

研究了基础$BR_0$-代数的性质和基于完备基础$BR_0$-代数的全蕴涵三I算法，对一般蕴涵算子给出了三I算法解存在的一个充分条件，并将结果应用于$R_0$-单位区间$\overline{W}$，不但极大的简化了$R_0$-单位区间$\overline{W}$的$R_0$-型$\alpha$-三I算法结果的证明，而且使其证明过程与相应的模糊命题演算系统结合起来，说明了$R_0$-型三I算法是与$B{\cal L}^*$系统相匹配的模糊推理方法。

Without the partial ordering relation and ordering structure, a conversant algebra system Boolean algebra is analyzed with a new point of view in this paper, which makes most concepts in discrete mathematical being understood more deeply.

在不涉及偏序关系和序结构的前提下，用一种新的观点剖析了一个熟悉的代数系统———布尔代数，加深了离散数学中代数系统的有关概念的理解和认识。

This paper introduces and investigates the filter theory of pseudo NM algebra. The notions of filters, generated filters, normal filters and prime filters etc. are defined. Their basic properties are investigated, with the structures of generated filters obtained. We show that prime filters and irreducible filters are equivalent, and that maximum filters must be prime filters. The prime filter theorem of pseudo NM algebra and its some corollaries are established.

引入了伪NM代数的滤子理论，定义了滤子、生成滤子、正规滤子和素滤子等概念，研究了它们的特征性质，给出了生成滤子的结构，证明了在伪NM代数中素滤子与不可约滤子等价以及极大滤子必是素滤子，建立了伪NM代数的素滤子定理及其推论。

In the frame of deformation quantization, one deals with functions on the phase space, and the star product deforms the commutative classical algebra of observables into the noncommutative quantum algebra of observables.

在变形量子化理论中，物理量依然是函数形式，坐标以及动量的非对易性均体现在函数之间的乘积上。

We study the properties of BR0-algebra and the total complication triple I method on complete BR0-algebra, and we apply the results to R0-Unite interval W. Not only we have simplified the proof of the results of R0-type triple I method on R0-Unite interval W, but also we make the proof to combine with the formal deductive system for fuzzy propositional calculus. This work also explains that the R0-type triple I method is a matching fuzzy inference with B?

研究了基础BR0-代数的性质和基于完备基础BR0-代数的全蕴涵三I算法，对—般蕴涵算子给出了三I算法解存在的—个充分条件，并将结果应用于R0-单位区间W，不但极大的简化了R0-单位区间W的R0-型α-三I算法结果的证明，而且使其证明过程与相应的模糊命题演算系统结合起来，说明了R0-型三I算法是与B？

A quotient algebra of FI-algebra is established, whose properties are carefully studied.

给出了FI代数的简单性质及理想概念，建立了FI代数的商代数，并研究了商代数的性质，得到了一些重要的结

At last,it's proved that the equivalent class of sharp element is sharp element in the quotient algebra of a weak commutative pseudoeffect algebra gotten by normal Riesz ideals.

讨论了弱可换的伪效应代数商代数中可精确测量元与正规Riesz理想之间的关系。

It is shown that a fuzzy subset of a BCI algebra is an FSI ideal if and only if it is both an FSC ideal and a fuzzy BCI positive implicative ideal.2. A new class of quotient BCK/BCI algebras and a new class of bounded quotient BCK algebra are constructed, respectively. By investigating their applications, it is shown that these quotient structures are more reasonable than ever before and possess good properties.

构造了一类新的商BCK／BCI代数和一类新的有界商BCK代数，利用这种构造，各类型商BCK／BCI代数可以被相应的Fuzzy理想／滤子完全刻画，以往的商构造被Fuzzy理想／滤子刻画时只有充分条件而没有必要条件，因此新构造弥补了以往构造的不足，比以往的构造更加合理。

Alternatively, the con- trollers can use the synchronous rectifier itself or loss- less inductor current-sensing methods to provide overload protection with lower power dissipation.

另外，康威特罗勒斯可以使用同步整流器本身或亏损减少电感电流检测方法，以提供低功耗过载保护。

Mr. Dauber's other Schatz hangs in his home movie studio.

多伯把沙兹的另一件作品挂在家里的电影室。