查询词典 involutory algebra

Simliar to isomorphism and derivation, centralizer is an important transformation on algebra or ring.

像同构和导子一样，中心化子是代数或环上的一类重要的变换。

Firstly, based on the algebra case of Wus method we give a modified algorithm of differential characteristic set for differential polynomial system - algorithm′.

算法′是在代数情形吴方法的算法的基础上推广而来。

He is leading a research group 'Algebra and Coalgebra: the mathematical environments of modal logic'.

他当前正主持研究项目"代数和余代数：模态代数的数学环境"。

Chapter 1 is the introduction of this paper, which introduces the weak hopf algebra, hopf π coalgebra, and some properties of them.

另外，探讨了弱Hopf群弱余代数的一些基本性质和结论，为以后的章节奠定了一些理论基础。

The algebraic and coalgebraic methods in computer science is investigated in general, including its basic ideas, the categorical properties of algebras and coalgebras, initial algebra and final coalgebra, bisimulation and behavior equivalence, coalgebraic specifications, and coalgebraic logics.

对代数方法与共代数方法的基本概念、代数与共代数范畴的性质、初始代数与终结共代数、双模拟与行为等价、共代数规范以及共代数逻辑进行了比较全面和深入的研究。

Schauengurg[2] considered more general case and found necessary and sufficient conditions for the cosmash product coalgebra H Q to be a Hopf algebra with a Hopf subalgebra H and a weak projection !

Schauenburg在文献[2]中把Radford的研究加以推广，给出了使余smash积HQ为Hopf代数，H为HQ的子Hopf代数，且具有弱投射π：HQ→H(即π是左模余代数同态，且π|_H=id_H)的等价条件。

The Greenfield algorithm has been renewedly designed .It is a fast algorithm for solving linear algebra equation group of coefficient matrix for nubby tri-diagonal symmetrical matrix.

研究了电磁场有限元法解释的串行计算的算法和软件实现、并行计算的算法和软件实现，给出了电磁法有限元法解释计算任务并行的划分和分治，解决了有关并行计算的负载均衡技术，合理地给出了算法的粒度选取。

As a second year graduate textbook, Cohomology of Groups introduces students to cohomology theory (involving a rich interplay between algebra and topology) with a minimum of prerequisites.

作为第2本年毕业生教科书，组的Cohomology有最少的必要条件向学生介绍cohomology 理论(与在代数和拓扑之间的丰富的相关作用有关)。

In particular, we compute Hochschild homology and cohomology groups of infinitedimensional path algebras and some of their quotient algebras, and we prove that for a general monomial algebra (not necessary finite-dimensional), all Hochschild cohomology groups of positive degrees vanish if and only if its Gabriel quiver is a finite tree.

特别地，我们计算了无限维路代数以及某些商代数的Hochschild同调群和上同调群，而且给出了一般单项代数的各正次Hochschild上同调群为零的充分必要条件，即它的Gabriel箭图是有限树。

Further more,we prove that the cohomotopy groups is isomorphic to K1 -group of the continuous algebra on topological boundary of bounded domains in C.

进一步证明了：在复平面C中，任意有界域的拓扑边界上连续函数代数的K_1-群与其边界上的上同伦群同构。

He paid $5,000 for this cupcake.

他我这个纸杯蛋糕花了5000美元。

I mean, if you want to, that is

我的意思是，如果你们想吃的话。