查询词典 linear algebra

Lattice implication algebra is an algebraic system combinating lattice with implication algebra.

格蕴涵代数是徐扬教授为研究格值逻辑把格与蕴涵代数相结合提出的一个代数系统。

Lattice implication algebra is a kind of algebraic structure combined with lattice and implication algebra. It is an important method in the research of lattice-valued logic.

格蕴涵代数是将格与蕴涵代数结合起来的一种代数结构，是研究格值逻辑系统及其性质的一个重要途径。

It is shown that, any reprersentation finite special biserial algebra has a Groebner basis theory, and a finite-dimensional basic algebra over an algebraically closed field is representation finite if and only if every module over it has a right Groebner basis theory.

证明了表示有限特殊双列代数有Groebner基，从而扩大了Groebner基理论的应用范围；证明了一个代数封闭域上的有限维代数是表示有限特殊双列代数当且仅当其上每个右模都有右Groebner基理论，从而扩大了右Groebner基理论的应用范围。

From the famous Gabriel's theorem ,a basic connected finite dimensional associative algebra A over an algebraically closed field can be looked as a quotient of a path algebra decided by a connected finite quiver Q.

由Gabriel 定理，代数闭域上基的，连通的有限维结合代数A 同构于一个由连通有限箭图Q 确定的路代数的商代数。

If one of the following conditions is satisfied , then the trivial extension T of H is not a bialgebra .(1) H is not a Hopf algebra ,(2) H is a Hopf algebra , but the antipode of H is not the identity map .(3) char can not divide 2dim H .

若下述三个条件之一成立，则T不是双代数：(1) H不是Hopf代数，(2) H是Hopf代数，但其反极元S不是恒等映射，(3) char不能整除2dim H。

We investigate the centralizer of an arbitrary element of a Lie algebra of type L and obtain a sufficient condition for a Lie algebra of type L being semisimple.

在李代数方面，我们研究了L-型李代数中任一元素的中心化子，给出了L-型代数为半单代数的充分条件。

The representations of the associative algebra A play an important role in the study of the representations of the vertex algebra.

践行"三个代表"重要思想，推动高校办公室管理创新6。结合代数A的表示与顶点代数的表示密切相关。

As a branch of modern algebra , finite fields is an abstract system in algebra which satisfies operational laws such as associative law, commutative law, distributive law etc.

作为近世代数学的一个分支，有限域是一个拥有传统算术四则运算的抽象代数系统，它满足结合律、交换律、分配律、消去律等运算法则。

The study of lattice implication algebras On the basis of previous results of lattice implication algebras, we firstly studied some properties of implication filters, prime implication filters, maximal implication filters and ultrafilters. Then we laid stress on the study of two kinds of relatively general lattice implication algebras, i. e. complete and atomic lattice implication algebra and injective lattice implication algebra.

关于格蕴涵代数的研究本文在已有的格蕴涵代数研究结果基础上，首先研究了格蕴涵代数中蕴涵滤子、素蕴涵滤子、极大蕴涵滤子和超滤等的性质和相互的关系，然后重点较系统地研究了两类覆盖面较广的格蕴涵代数：完备的且原子的格蕴涵代数和内射的格蕴涵代数。

All real simple Malcev algebra,are classified according to whether or not they have a compatible complex structure and simultaneously we give all the invariant bilinear forms by the killing form of the real simple Malcev algebra or the killing form of it s complexification .

研究实单Malcev代数上的不变双线性型，仿照李代数的情形给出实Malcev代数上的容许复结构、实Malcev代数的复化以及Malcev代数上的不变双线性型等概念，并通过对实单Malcev代数上容许复结构的讨论，将实单Malcev代数上的不变双线性型分为两种情形。

Dixie itself is a nickname for the American South.

Dixie 本身是美国南部的别称。

I think John Terry epitomises that and a big reaction is what we will be looking for.

而我认为特里就是这样一个典型，他正是我们期望看到的那个领秀。