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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。

First,we give some basic concepts of restricted Lie color algebra,for example,p-subalgebra,p-idea and p-nilpotent Lie color algebra.

然后,我们得到限制李color代数的Frattini子代数和Frattini p-子代数的基本性质并证得可解限制李color代数的Frattini子代数和Frattini p-子代数是两个幂零理想。

It including the pitch point electric current equation andthe return route voltage equation two parts, former pointed out that,regarding any pitch point (3 or 3 above legs points of intersection),flows in and flows out the pitch point various electric currents algebra and is zero, this is the constant condition request, latter pointed out, regarding any closed path, each part of loss of voltage algebra and is zero, this is the electrostatic field ring circuit theorem result, two constituted the complete system of equations.

它包括沥青点电流方程强大的回路电压方程由两部分组成,前者指出,对于任何节点( 3层或3条以上的腿分的交汇点),流入和流出草地点不同电流代数和是为零,这是恒定的条件要求,后者指出,对于任何封闭道路,每部分的损失电压代数和为零,这是静电场的环形电路定理的结果,构成了两个完整的系统方程式。

The semigroup algebra theory,which has a huge development under interior and exterior double Mathematical conditions form 1950"s to 1960"s,is a new branch of algebra theory.In 1990,R.Biswas gave definition of anti-fuzzy subgroup.In 1995,Shen gave definitions of anti-fuzzy subgroup and normal anti-fiizzy subgroup of group.

半群的代数理论是在数学内部和外部双重条件下,从20世纪50年代到60年代发展起来的一个崭新的代数分支。1990年,Biswas R提出了反Fuzzy子群的定义;1995年沈正维提出了一个群的反Fuzzy子群和正规反Fuzzy子群的定义。

It is proved that the set which all atoms of a BCH algebra are made up is a p semisimple BCI algebra.

证明了一个 BCH-代数的所有原子做成的集合是一个 p-半单 BCI-代数。

In this paper, we mainly study representations of strong semisimple n-Lie algebras, prove that a representation of a strong semisimple n-Lie algebra is a representation of the reductive Lie algebra LP, and the relative properties.

本文主要研究了强半单的n-李代数的表示,证明了强半单的n-李代数的表示可转化为一个约化李代数Lρ的表示,并证明了不变线性形等其它相关性质。

The solvable Lie algebra is corresponding to a cascade decomposition of the system and the semisimple Lie algebra is corresponding to a qasi-parallel decomposition such that the system has a parallel form of a cascade decomposition and a qasi-parallel decomposition.

任一李代数都可分解为一可解李代数与一半单李代数的半直和,可解李代数对应于系统的级联分解,半单李代数对应的是系统的准平行分解,将二者合并起来,就得到一般李群下的非线性系统的结构分解,这是一级联形式与一准平行形式的并联形式分解。

The so-called AT-algebras are inductive limits of finite direct sums of matrices over the extension algeras of circle algebra by K, where K is the C~*— algebra of all compact operators on a separable infinite dimensional Hilbert space.

若V_*与V_*同构,且保持单位元等价类;T与T仿射同胚,且同构映射与同胚映射相容,则存在E与E′的同构导出上述同构和同胚,所谓AT-代数即为圆代数通过κ的本质酉扩张的矩阵代数的有限直和的归纳极限,这里κ为可分的无限维复Hilbert空间上的紧算子全体,不变量中的V*为三变元Abel半群,T为迹态空间,[1]为单位元所在的Murray-von Neumann等价类,r_E为连接映射。

In this paper, the main purpose is to study completely normal separation axiom in L-topological spaces and several algebra structures on L-Fuzzy algebra.

本文主要是研究L-拓扑空间的完全正规分离性和L-Fuzzy代数中的若干代数结构。

Elements for some integer n.For example,the set algebra for the set T defined above corresponds to a Boolean algebra of 32 elements.

个元素。例如,上文定义的集合T的集合代数就对应与一个有32个元素的布尔代数。

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