查询词典 archimedean semigroup

This paper studies the classification of two-dimensional representations of free group and free semigroup with tw...

本文研究具两个生成元的自由群和自由半群在任意域，特别是在有限域上的二维表示的分类问题。

In this paper some properties of free semigroup and the base of free monoid are discussed.

摘要本文在石辉然先生的《Free monoids and Languages》对字的组合的研究的基础上得出了自由半群的一些性质。

Firstly, it's proved that the base of free monoid is unique, and that the equation of a base, a generating set and a irreducible generating set in the semigroup with length; Secondly, it's given the relation of a primitive word and a word of indecomposable--Let and is indecomposable, then is primitive ;And by using the length's method and chart,some properties of primitive word have been proved and the solutions of the equation , are discussed; Lastly, on the base of some proposition in Free monoids and Languages ,the proofs of some properties are improved by instruction. For example: Let be a primitive word over X, where .Then is a code. And let then if and only if {} is a code.

首先，讨论了含幺半群中基的基本性质及基与最小生成元集的联系，并给出了含幺半群中基、生成元集、不可约生成元集三者之间的关系；证明了在有唯一长度的半群S中，不可约生成元集、基、最小生成元集三者之间的等价关系；其次，讨论了字的组合与分解性，得出了字的本原性与不可分解性之间的关系---若为不可分解的，则一定是本原的，反之，不一定真；并运用图示法证明了字的可补性理论，讨论了方程，的可解性；在此基础上，用归纳法进一步证明了本原字与码的有关命题--若是X上的一个本原字，其中，则是一个码；若则当且仅当{}是一个码。

The word is a core unit in free semigroup.

字是自由半群中的一个核心单元。

With the development of science technology, free semigroup takes a very important role in machine, automate, automatic operation, language,and code .

随着科学技术的迅速发展，自由半群在机器自动化及自动操控、语言、码中起到了很重要的作用。

This paper studies the classification of two-dimensional representations of free group and free semigroup with two generators over arbitrary field, especially over finite field.

本文研究具两个生成元的自由群和自由半群在任意域，特别是在有限域上的二维表示的分类问题。

This kind of problems can be described by the state-space of Co-semigroup in Hilbert space.

这样的系统可以通过Hilbert空间上的C_0算子半群作状态空间描述。

This paper proves that the maximal right quasinormal band homomorphic image of free product of right quasinormal bands in semigroup category is isomorphic to their free product in right quasinormal band category.

证明了右拟正规带在半群范畴中的自由积的极大右拟正规带同态象同构于它们在右拟正规带范畴中的自由积。

By using congruences on a Clifford semigroup, we get that, in general, the operator is not a ∩-homomorphism.

利用Clifford半群上的同余刻画，得到了该运算不是一个∩-同态。

There is the Cauchy problem of hyperbolic system with weak damping in Chapter4. In the space of dimension N=1,3, exploiting the semigroup method, the global existence and the decay behavior of the solution with small initial data to problem (about problem with small initial data) is put forward.

当空间维数N=1，3和初值充分小时，利用半群理论得到问题整体解的存在性，并对于整体解给出一致衰减估计；当空间维数N=1 时，利用试验函数方法讨论解在有限时刻爆破的条件。

You can do some assertiveness training.

你可以进行一些自信训练。

We were well on the path to making a rear-wheel-drive global platform," says Mays."

我们正致力于建立一个后轮驱动的平台，"Mays这样说道。"