Gradation Shifting Toroidal Lie Algebras and Representations for Baby-TKK Algebra 阶化平移Toroidal李代数与Baby-TKK代数的表示
In this paper we explicitly determine the derivation algebras of a class of3-step nilpotent Lie algebras, and obtain some properties of the derivation algebras. 具体确定了一类中心为二维的三步幂零李代数的导子代数,得到了导子代数的一些性质,并证明了这类幂零李代数是可完备化幂零李代数。
The relationships among Boolean algebra, set algebra, logic, and binary arithmetic have given Boolean algebras a central role in the development of electronic digital computers. 由于布尔代数、集合代数、逻辑学和二进制算术之间的内在联系,使得布尔代数的理论在电子数字计算机的开发研制中举足轻重。
Linear maps preserving Jacobi identity on the full matrix algebras 全矩阵代数上保Jacobi恒等式的线性映射
(α, β)-Multiplicative Derivation and Continuity of Maps between C~-Algebras (α,β)-可乘导子和C~-代数间映射的连续性
In this paper, the set of sharp elements in sharply dominating weak commutative pseudoeffect algebras is studied. 主要研究了由可精确测量元控制的弱可换的伪效应代数中可精确测量元。
Real Operator Algebras on a Complex Hilbert Space 复Hilbert空间上的实算子代数
The main purpose of this paper is to give a standard extension of Malcev algebras, and investigate the relationship on solvability and nilpotency between a Malcev algebra and its extension algebra. 给出了马尔策夫代数的一个标准扩张,并研究了马尔策夫代数及其扩张间的可解和幂零关系。
Crossed Modules and Third Cohomology of Triangular Lie Algebras 上三角矩阵代数的交叉模和三阶上同调群
BL algebras, R0 algebras and MTL algebras which are proposed recently are representative results in this area. 近期提出的BL代数,R0代数,MTL代数就是这个方向具有代表性的研究成果。
Algebraic Techniques; Lie Groups and Lie Algebras; Discrete Mathematics; Quantum Groups; Stochastic Methods. 代数技巧;李群和李代数;离散数学;量子群;随机方法。
In residuated lattice implication algebras, the concept of multi-fold fuzzy positive implicative filter is introduced and its properties are investigated. 在剩余格蕴涵代数中,首先提出了多重模糊正关联滤子的概念,研究了其性质。
The fundamental theory of Lie groups and Lie algebras on robotics is expatiated in brief. 对李群李代数方法在机器人中的应用做了基本的阐述,澄清了一些基本概念。
On automorphisms of linear Lie algebras of order 2 over certain commutative rings 某些交换环上2阶线性李代数的自同构
The underlying model of time appropriate to the application can range from discrete natural numbers and integers to dense linear real numbers or to algebras of intervals and trees. 为了符合应用,关于时间的模型从离散的自然数和整数,延伸到稠密的线性实数,甚至扩展到区间代数和树代数。
The concept of primary filter is proposed in residuated lattice implication algebras. 在剩余格蕴涵代数中,提出准素滤子的概念。
Simplify the axiom system of lattice implication algebras, which was given by Y. 给出的格蕴含代数的公理系统,并给出另一个公理系统。
Additive maps preserving the lattices of invariant subspaces on upper triangular matrix algebras 上三角矩阵代数上的保不变子空间格映射超不变子空间的紧摄动
All finite-dimensional path lie algebras are solvable and their Cartan subalgebras of them are obtained. 给出了有限维路李代数均可解的结论和所有的卡当子代数;
The article discuss the K-theory of operator algebras. 本文研究了算子代数的K-理论。
Functional Analysis and Operator Algebras; Quantization Methods and Path Integration; Variational Techniques. 泛函分析和算子代数;量子化方法和路径积分;变分技术。
R_0 Algebra of Fractions and Gabriel Filters on R_0 Algebras 分式R0代数及R0代数上的Gabriel滤子
Filiform Lie algebras are a class of special nilpotent Lie algebras. 线状李代数是一类重要的幂零李代数。
In this paper, we discuss the classification of3-dimensionally commutative algebras on algebraically closed field. 研究了代数闭域上三维交换代数的分类。
The authors show that the Lies Theorem holds for Lie color algebras with a torsion-free abelian group G. 作者证明了无挠群上的色李代数的李定理,同时,也给出例子说明无挠性是必要的。
Lie groups and Lie algebras were used to study the dynamics and control of robot system with active and passive joints. 采用李群李代数符号描述了含主被动关节机器人的动力学分析和控制问题。
The Derivations and Central Extensions of a Class of Lie Algebras over Quantum Torus 量子环面上一类李代数的导子和中心扩张
We give a sufficient condition for a finite dimensional symmetric self-dual Lie color algebras to be a double extension, thus we solve its classification in the sense of cohomology; 我们给出了有限维对称自对偶色李代数可以双扩张的充分条件,从而在上同调意义下解决了这类色李代数的分类问题;
Subdirectly Irreducibility and Filters in the Relative Ockham Algebras 相关Ockham代数类的次直不可约性和滤子