本文引入和研究德摩根拓扑代数的可数公理、可分性和连通性，拓宽了原有的结果。
Countability axioms, separability and connectedness are introduced and investigated for a DE Morgan algebra of topology. Thus the scope of a DE Morgan algebra of topology is extended.
在这些日子里，拓扑这个天使和抽象代数这个魔鬼为各自占有每一块数学领域而斗争着。
Hermann Weyl In these days the angel of topology and the devil of abstract algebra fight for the soul of each individual matehmatical domain.
当然，随着粗糙结构与代数结构、拓扑结构、序结构等各种结构的不断整合，必将不断涌现出新的富有生机的数学分支。
Certainly, with the integration of rough structure and algebra structure, topology structure, order structure and the other structures, some new vital mathematical branches will be emerged.
当然，随着粗糙结构与代数结构、拓扑结构、序结构等各种结构的不断整合，必将不断涌现新的富有生机的数学分支。
Certainly, with integration of rough structure and algebra structure, topology structure, order structure and the other structure, some new vital mathematical branches will be emerged.
首先在NML代数上引入MP -滤子与素滤子的概念，进而讨论了滤子和素滤子的基本性质，最后在全体素滤子之集上建立了拓扑结构。
Firstly the concepts of MP-filters and prime filter in NML algebras are introduced, and then topological structure of the set of all prime filters of NML algebras are discussed.
本文主要讨论了线性拓扑空间中集合的固有代数边界点集的性质。
The properties of the proper algebraic boundary point sets of the sets in topological linear Spaces were discussed.
代数拓扑方法用于逻辑综合得到最小覆盖，为了避免可能出现冒险，需要进行冒险问题的讨论。
Method of algebraical topology used in logic synthesis attained least covering, and in order to avoid audaciousness arising, auducious problem was discussed necessarily.
提出了一个非流形结构的表示方法——粘合边结构，其数学基础是代数拓扑中的复形理论。
An identification edge structure is put forward to represent non manifold modeling, which is built on the concepts and methods of the complex and CW complex in algebraic topology.
这有提供非常直接的代数的入口方面的优势，和对组合的拓扑，以及物理想法。
This has the advantage of providing very direct access to the algebra and to the combinatorial topology, as well as the physical ideas.
研究了MV代数的区间拓扑和序拓扑及MV代数下的拓扑紧性、连结性、完备性和全序性。
This paper researched the interval topology and order topology of MV algebra as well as the tightness, connectedness, completeness and the total-orderness of MV algebra.
同伦是代数拓扑学中的概念，同伦算法已应用于一些工程实际问题的求解。
Homotopy is a concept of algebra topology, and homotopy algorithm has been applied to solving the practical problems.
代数，演算，功能分析，几何，数论，逻辑，拓扑和其他数学专业。
It includes instruction in algebra. calculus. functional analysis. geometry. number theory. logic. topology and other mathematical specializations.
同胚映射和同伦等价是代数拓扑学中的两个重要概念。
Homeomorphic morphism and homotopy equivalence are two important concepts in the theory of algebraic topology.
利用指数对应定理，将关于商映射的一个定理推广到上诱导拓扑的情形，并给出其在代数拓扑学中的若干应用。
Used the theorem of exponential correspondence, a theorem on quotient map was generalized to the cases of coinduced topology, and some applications of it in algebraic topology were also discussed.
本文的另一个结果是获得了求节点导纳矩阵任意一个二阶代数余子式的拓扑公式。
Another result is presented a topological formula for any 2-order algebraic cofactor in passive network node admittance matrixes.
更深入的代数拓扑学以及范畴理论的知识将有更大的帮助。
Some more advanced algebraic topology may also be useful as might some knowledge of category theory.
习惯上拓扑学被分成点集拓扑、代数拓扑和微分拓扑三部分。
Topology is traditionally decomposed into three parts: General topology, Algebraic topology and Differential topology.
标准奇异点是微分代数方程系统区别于常微分方程系统的一个标志性的拓扑结构，具有重要的理论研究意义。
The standard singular point is an important structure of the differential-algebraic equation systems(DAEs), by which DAEs are differentiated from the ordinary different equation systems (ODEs).
从此，越来越多的代数拓扑学家对这一领域产生了兴趣。
From then on, more and more algebraic topologist become interested in this area.
结果得到了拓扑bci代数的拓扑子代数、拓扑理想和拓扑同态的一些相关性质。
ResultsSome related properties of topological subalgebras, topological ideals and topological homomorphisms in topological BCI-algebras are obtained.
代数学的拓扑是透过代数空间的全球特性的研究。
Algebraic topology is the study of the global properties of Spaces by means of algebra.
本文在对“王氏代数”、“k -树组”和“MINTY”这三种求有向树组的典型方法进行分析之后，提出了一种生成有向树组的拓扑方法。
Having analysed the "W-algebra", "K-tree terms" and "MINTY", the three typical methods of generating direct tree terms, the paper advances a new topological one.
建议事先知道一些关于代数拓扑和微分几何的基本知识，但不是必需的。
Knowledge of elementary algebraic topology and elementary differential geometry is recommended, but not required.
代数拓扑；辛几何与拓扑；常微分和偏微分方程。
Algebraic Topology; Symplectic Geometry and Topology; Ordinary and Partial Differential Equations.
目的为研究拓扑bci代数的拓扑子代数、拓扑理想和拓扑同态的概念。试图在代数结构中嵌入拓扑结构。
AimTo study the notions of topological subalgebras, topological ideals and topological homomorphisms in topological BCI-algebras.
为研究生开设《代数图论》、《图论中概率方法》、《图论中的拓扑方法》等课程，指导培养硕士研究生1名，培养博士研究生2名。
Graduate courses: Algebraic Graph Theory, Probabilistic Methods in Graph Theory, Topological Methods in Graph Theory. Supervised 1 Master thesis, and 2 ph.
为研究生开设《代数图论》、《图论中概率方法》、《图论中的拓扑方法》等课程，指导培养硕士研究生1名，培养博士研究生2名。
Graduate courses: Algebraic Graph Theory, Probabilistic Methods in Graph Theory, Topological Methods in Graph Theory. Supervised 1 Master thesis, and 2 ph.
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