结果得到了该整群环的增广理想之幂的基底，进而确定了其商群的结构。
Results A basis for the powers of the augmentation ideal is found and the structure of quotient groups is established.
本文第一节给出了广义幂级数环(特别是幺半群环)的零因子图的基本性质。
In this paper, we firstly discuss the property of zero-divisor graph of rings of generalized power series in section 1.
通常的情况是，商人(以及自由职业者)专注于孤军奋战。事实上，让自己成为不可缺少的一环的秘密就是，群策群力。
Too often, businesses (and freelancers) focus on making it on their own. In fact, the secret of being indispensable is making it together.
赛车队 -7月9日，比赛中主要的一群自行车车手，骑行在环法第六赛格尼翁的路上。
The peloton -- the main group of cyclists in a race -- rides along in stage six of the Tour de France in Gueugnon, France, on July 9.
这些对象的结构性能进行了研究的群，环，域和其他抽象的系统，其本身这样的对象的研究。
The structural properties of these objects are investigated in the study of groups, rings, fields and other abstract systems, which are themselves such objects.
鸟嘌呤：嘌呤类的有机化合物，常称为碱基，包含二个环，各含氮原子和碳原子，还有一个氨群。
Guanine: organic compound of the purine family often called a base consisting of two rings each containing both nitrogen and carbon atoms and an amino group.
胞嘧啶：嘧啶族的有机化合物。常被称为基，包含一个单环，内有氮原子和碳原子，还有氨群。
Cytosine organic compound of the pyrimidine family often called a base consisting of a single ring containing both nitrogen and carbon atoms and an amino group.
对一般群分次环建立了弱分次周期根的概念，证明它是一个分次特殊根，给出了它的分次模刻划，讨论了它与自反周期根的关系。
The weakly graded periodic radical concept for general group graded rings is established, the fact that it is a graded special radical is proved and its graded module characterization is presented.
本文讨论了有局部单位元的环的0K群，特别地，推广了关于0K群的一些经典结论。
We discuss 0K for the rings having local identities, in particular, we extend some classical results on 0K of a ring.
本文主要对几乎可换环上酉群的基本子群的正规性进行了研究。
This thesis mainly works on the normality of elementary subgroup of Unitary group over almost commutative rings.
本文进一步讨论了交换环上辛群的正规子群的标准性问题。
The standardization question of the normal subgroups over commutative rings has been further discussed.
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 this paper, it is proved that any finite semigroup can contain cycle subgroup, Witn this result, some theorems in ring theory are induced easily.
同时对盟定义了盟模，并证明了对部分半群g，所有G -盟作成的范畴与所有G -分次环作成的范畴是同构的。
It is proved that for a partial semigroup g, the category of G-unions and the category of G-graded rings are isomorphic.
本文定义了有核半群的局部幂零根，并证明了与环相近的一些性质。
In this paper, we define the local nilpotent radical of a semigroup having kernel and prove some properties which is similar to rings.
类似于群分次环和群分次模的定义，定义了部分半群分次环和部分半群分次模。
Similar to group graded rings and modules, partial semigroup graded rings and modules are defined.
利用环中的群元素刻画了环的单位正则性。
In this paper, we investigate unit regularity by virtue of group members in regular rings.
一群地勤人员冲向前去，抓住了机翼后缘上的特殊套环。
A handling party rushed forward and grabbed hold of special toggles on the trailing edges of the wings.
轰杀单体目标或小群目标相对简单，但强大存在(例如半神或更强的实体)或另一件高等神器则超出了“灭灵之环”的能力极限。
It is relatively easy to nullify a single target or a small group of targets, but a more powerful being (such as a demigod or greater entity) or another major artifact taxes the Annulus to its limits.
在北京东四环外高楼林立的建筑群当中有一片历史悠久的胡同。
Among the towering buildings beyond the East Fourth Ring Road of Beijing isa group of ancient hutongs, in which Liu Xueyuan lives.
通过仿真和测试分析了调制方波的周期、相位、占空比、光纤环的群延时以及放大电路的增益带宽对陀螺输出偏置的影响。
The effects of the square wave cycle, phase, duty cycle and the fiber coil group delay and amplifier gain bandwidth on the bias error of closed-loop FOG were analyzed by simulating and testing.
本文讨论了有局部单位元的环的K0群，特别地，推广了关于K0群的一些经典结论。
We discuss K0 for the rings having local identities, in particular, we extend some classical results on K0 of a ring.
记下的“环副本的一群”，并安排了金属抠(13e条)他们。
Make a bunch of copies of the "ring" and arrange them over the metal clasp (13e).
研究了整数环上一些典型群的二元生成问题。
In this paper, we get some results of two-element generation of symmetric and alternating groups.
研究了整数环上一些典型群的二元生成问题。
In this paper, we get some results of two-element generation of symmetric and alternating groups.
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