利用半代数的同余来讨论半代数的同态定理及其第一，第二同构定理。
Then, with congruence of the semialgebra, we proved the homomorphic theorem of semialgebra and its first and second isomorphic theorems.
“我的行为代表了一半斑马的利益，”代数老师说。
"My behavior is on behalf of half zebras," the algebra teacher said.
“我的行为代表了一半斑马的利益，”代数老师说。
My behavior is on behalf of half zebras, "the algebra teacher said."
现在缅因州仅存70艘底层鱼捕鱼船，仅及上世纪90年代数字的一半，与几十年前比起来，相较甚远。
There are only 70 groundfishing vessels left in Maine, less than half the number in the 1990s, and a far cry from decades past. Few working waterfronts remain.
在第二部分第一篇论文中，我们系统研究了二维非交换李代数及其全形的可解性、完备性与非半单性等性质。
In the first paper of the second part , it studies two dimensional noncommutative Lie algebra and its solvability, completeness and nonsemisimplicity and so on .
结果表明代数动力学方法对于具有非半单李代数结构的线性动力系统仍然适用。
It has also been shown that the algebraic dynamics might be generalized from the linear dynamic system with a semi-simple Lie algebra to that with a general Lie algebra.
半群的研究在代数学的理论研究中占有很重要的地位。 其中格林关系在半群理论的研究中有着重要的意义。
The research of semigroup plays an important role in the research of the theory of algebra, and the Green's equivalences are especially significant in the study of semigroups.
描述许多轨道控制问题的方程通常构成非线性半显式的微分代数系统。
The equations which describe many trajectory control problems naturally form nonlinear semiexplicit differential algebraic systems.
本文通过对合交换半群概念的引入，对MV-代数建立了几组等价公理系，对原有的公理系进行了较好的简化。
In this paper, we introduce the notion of involution commutative semi-group, and give some equivalence axioms of MV - algebras.
半群平移壳理论是半群代数理论的一个重要部分，在半群的理想扩张理论中占有重要地位。
The theory of translational hull of semigroups is an important branch of the algebra theory and plays a basic role in the theory of ideal extensions of semigroups.
作为半连续格的推广，引入了拟半连续格和拟半代数格的概念，讨论了它们的一些基本性质。
As generalizations of semicontinuous lattices and semialgebraic lattices, the concepts of quasi-semicontinuous lattices and quasi-semialgebraic lattices are introduced.
讨论特殊半对称联络的黎曼流形，给出了该流形曲率张量的一个代数结构。
In the present paper, the algebra property of Riemannian manifold which is contained some special semi symmetric connection is given.
本文中，我们证明了作为泛代数的半格的定义与作为偏序集的半格的定义是等价的。
In this paper, we proved that the definition of a semilattice as a universal algebra and the definition of a semilattice as a partial ordered set are equivalent.
本文考虑关联BCK-代数的半单性，得到这类代数为半单的若干等价条件。
In this paper we consider the semisimplicity of implicative BCK-algebras and obtain several equivalent conditions which an implicative BCK-algebra is semisimple.
“我的行为代表了一半癍马的利益”代数老师说。
My behavior is on behalf of half zebras "the algebra teacher said."
给出了布尔群代数半群中的幂等元、极大子群和正则元的结构以及幂等元和正则元的个数。
The structure of the idempotent elements, regular elements and maximal subgroups and the number of the idempotent elements and regular elements in Boolean group algebra are given.
在适当地选取了半单李代数的根系之后，就可算出初等表示权的标积。
When the set of roots for a semi-simple Lie algebra have been selected appropriately, the scalar product of the weights of the elementary representation can be calculated.
除数字半色调起源外，文章也涉及数字半色调的分类和现代数字半色调技术。
Additional to the original methods of digital halftoning, classification and modern digital halftone techniques also included in this paper.
讨论了半单广义顶点代数（相应地半单广义顶点算子代数）的若干性质，例如：这些代数的分解；
In this paper, some properties of semisimple generalized vertex algebras (resp. semisimple generalized vertex operator algebras), for example the decompositions of these algebras;
本文给出了建立在含幺半群基础上的范畴语法的代数结构 ，定义了范畴方程和它的解并对范畴方程的解作了分类 ：相容性的相关性。
In this article, we showed the algebraic structure of syntactic categories based on monoid and defined categorial equation whose solutions are described by consistency and correlation .
本文给出了建立在含幺半群基础上的范畴语法的代数结构 ，定义了范畴方程和它的解并对范畴方程的解作了分类 ：相容性的相关性。
In this article, we showed the algebraic structure of syntactic categories based on monoid and defined categorial equation whose solutions are described by consistency and correlation .
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