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- In this paper, we define the concepts of fuzzifying subalgebras, fuzzifying ideals,and fuzzifying implicative ideals in BCK-algebras and discuss their properties and relations among them. 在BCK-代数中定义了不分明化子代数和不分明化理想的概念,讨论了它们的性质及彼此间的关系。
- fuzzifying subalgebra 不分明化子代数
- IS SUBALGEBRA GENERATED BY NILPOTENT ELEMENTS NILPOTENT_? 幂零元生成的子代数是幂零吗?
- Conclusion Every fuzzy subalgebra of a fuzzy P-semisimple BCI-alegbras is also a fuzzy P-semisimple BCI-algebras. 结论说明任一模糊P-半单BCI代数的模糊子代数,也是模糊P-半单BCI-代数。
- In this paper, we study the subalgebra structure of the general linear Lie algebras over commutative rings. 摘要本文研究了含幺可换环上一般线性李代数的子代数结构。
- Also we proved that any proper subalgebra of a standardKac-Moody algebra g(A) is standard, where A1 is any principle submatrix of A (see Theorem 2.6). 证明了典范Kac-Moody代数g(A)的任一真子代数g(A_1)也是典范的,此处A_1是A的任一主子阵(定理2.;6)。
- It is proved that the Frattini subalgebra of a complete Lie algebra with abelian nilpotent radical is the zero subalgebra. 证明了特征零代数闭域上的具有交换幂零根基的完备Lie代数的Fratini子代数为零。
- In this paper, we introduce the concepts of fuzzifying infix codes and fuzzifying outfix codes on free monoid and discuss their elementary algebraic properties. 在自由幺半群上引进模糊化内缀码和模糊化外缀码的概念;并进一步讨论它们的基本代数性质.
- Abstract: In this paper, we introduce the concepts of fuzzifying infix codes and fuzzifying outfix codes on free monoid and discuss their elementary algebraic properties. 文摘:在自由幺半群上引进模糊化内缀码和模糊化外缀码的概念;并进一步讨论它们的基本代数性质.
- Using the notion of coefficient matrix and maximal element.We prove that the Lie algebra is semi-simple and it has no abelian two dimensional subalgebra. 利用系数矩阵和极大项,证明了这类李代数是半单李代数且没有二维交换子代数。
- The basic properties of matrix subalgebra were investiaged, the matrix subalgebra was generated by a single matrix, all maximal ideals were classified, the necessary and sufficient conditions for the subalgebra to be semisimple algebra were given. 摘要研究了由一个矩阵生成的拒阵子代数的基本性质,给出了其极大理想的完全分类及这类子代数是半单代数的充要条件。
- Let A be a symmetrizable generalized Cartan matrix, g(A) thecorresponding Kac-Moody algebra, then a subalgebra h of g(A) is a split Cartan subalgebra if and only if there is a regular locally finite element x such that h=g 0(adx). 设A为一可对称化广义Cartan矩阵 ;g(A)为对应的Kac_Moody代数 ;则 g(A)的子代数h为可裂Cartan子代数的充分必要条件为存在正则局部有限元x ;使得h =g0 (adx) .
- Firstly, we prove three equivalent conditions for a solvable n-Lie algebra. Subsequently, mimicking the Borel subalgebra theory of Lie algebras, we give the definition of a Borel n-subalgebra of an n-Lie algebra, and prove two propositions about it. 第三节,证明了可解n-李代数的三个等价条件,并仿照李代数理论中的Borel子代数的定义,给出了Borel n-子代数的定义及相关性质。
- derivation of a fuzzifying functio 模糊函数的导数
- Fuzzifying Remote Neighborhood System 模糊化远域系统
- fuzzifying integral fuzzy integral 模糊积分
- fuzzifying topological linear spaces 不分明化拓扑线性空间
- derivation of a fuzzifying function 模糊函数的导数
- THE ALGEBRA IN WHICH EVERY SUBSPACE IS SUBALGEBRA 每一个子空间都是子代数的代数
- The Subalgebra Chains of s. d. g IBMs. d