英语释义

1. a mathematical set that is closed under an associative binary operation

片语

monogenic semigroupIn mathematics, a monogenic semigroup is a semigroup generated by a set containing only a single element. Monogenic semigroups are also called cyclic semigroup

Fuzzy semigroupFuzzy半群

delphic semigroupdelphic半群

stationary semigroup[数]

simple semigroup[数]

commutative semigroup[数]

英汉例句

• the concept of anti-principally ordered semigroup and some properties of anti-principally ordered regular semigroups are given.

  给出了反主序半群的概念，并得到了反主序正则半群的一些性质。

• especially, it also defined left and right anti-homorphism on semigroup and discussed their properties.

  特别地，还定义了半群的左右反同态并讨论了他们的性质。

• the maximum idempotent - separating congruence on a s - semigroup is characterized and a fundamental representation of a such semigroup is given.

  刻划了s-正则半群上的极大幂等元分离同余并给每个s-正则半群一个基本表示。

• in this paper, we described the green relations on matrix semigroup through the vector maximal independent subset of matrix.

  文章利用矩阵的行向量组和列向量组的极大无关组刻画了矩阵半群中的格林关系。

• in this paper, we obtained the boundedness of solution map for semilinear parabolic system with a dirichlet boundary control using semigroup theory etc.

  利用半群理论等方法讨论了半线性抛物型边界控制系统解映射的有界性。

• after some prelimenaries, we have obtained that the semigroup is further nil-extension of the matrix of groups, but the converse is not all true.

  在给出它的若干特征之后，指出这一类半群也是群的矩阵的幂零元—理想扩张，但反之未必成立。

• the latter two published a monograph on semigroup theory in 1961.

  后面二人在1961年出版了半群理论的专论。

• in this paper, we apply the semigroup theory to markov processes in which there are infinite instantaneous states and infinite stable states.

  本文利用半群理论讨论一类具有无穷多个瞬时态和无穷多个稳定的马氏过程。

• a left seminormal orthodox semigroup is an orthodox semigroup whose idempotents form a left seminormal band.

  左半正规纯正半群是幂等元集形成左半正规带的纯正半群。

• finally, by applying the semigroup theory, the existence and uniqueness of local solution are proved.

  最后，利用算子半群理论，证明了形状记忆合金模型局部解的存在唯一性。

• this paper considers the existence and uniqueness of localization of inverse semigroup s at idempotent semilattice e and the relation between the localization and the minimum group congruence of s.

  本文讨论可逆半群s在幂等元半格e上的局部化的存在和唯一，然后讨论其与s的最小群同余之间的关系。

• in this paper we introduce the notion of a normal fuzzy left(resp. right) ideal in a semigroup , and investigate some of its properties.

  本文引入了半群的正规左（右）模糊理想的概念，研究了这类模糊理想的性质。

• in this paper, it is proved that any finite semigroup can contain cycle subgroup, witn this result, some theorems in ring theory are induced easily.

  本文证明了，任意有限半群均含循环子群。利用此结果，就能容易地导出环论中的一些定理。

• in order to treat initial value problems for partial differential equations and some practical applications, mathematicians created operator semigroup theory in middle period of the last century.

  为了解决偏微分方程初值问题和一些实际问题，上世纪中叶数学家提出了算子半群理论。

• we also show that all quasi-ideal adequate transversals of an abundant semigroup which satisfies regularity condition are mutually isomorphic.

  关于富足半群我们证明了：满足正则性条件的富足半群若含有拟理想恰当断面，则其所有拟理想恰当断面均同构。

• the congruences on a regular semigroup is completely determined by its idempotent congruence classes.

  正则半群上的同余是由其幂等元同余类所完全决定的。

• this paper proves that the localization of an orthodox semigroup at the semilattice of idempotences exists and is unique which is the maximum group homomorphism image.

  本文证明了纯正么半群在其幂等元带上的局部化存在唯一，且证明了它是其最大群同态象。

• this paper analyzes the dynamic properties of semigroups generated by a family of transcendental entire functions with the semigroup operation being functional composition.

  考察了由一族超越整函数生成的半群的的动力学性质，其中半群运算是函数的复合。