查询词典 rings

In this chapter, firstly, the definition of rough rings and its properties are given. Then the definition and properties of rough subrings, rough ideals and rough quotient rings are put forward and proved. Finally, homomorphism and isomorphism of rough rings is studied.

在这一章中，首先给出了粗糙环的定义及其性质，其次给出了粗糙子环、粗糙理想、粗糙商环的定义及其性质，最后研究了粗糙环的同态与同构。

The theory of rings is an important content of Modern Algebra, while the polynomial rings is an important part of the rings. Polynomial ring is similar with power series ring, and it is a subset of the power series.

摘要环论是近世代数中的重要内容，而多项式环的性质又是环论理论中的重要组成部分，多项式环是幂级数环的子环且与幂级数环形式相近。

II, Polynomial rings on a general field( on contrast of those over a number field): concepts of ring, ideals, field and several special rings as domains, principal ideal domains and unique factorization domains, the unique factorization theory of polynomial rings.

二、一般域上的多项式理论（是数域上多项式理论的推广）：学习环、域和几类特殊结构的环（整环、主理想环，唯一分解环等）的概念，多项式环的唯一分解定理；三、线性代数：讲述一般数域上的向量空间理论（是数域上向量空间理论的继续和推广），模的概念，主理想环上的模的结构及其线性变换的若当标准型等；四、一元多项式的解及域论：学习域扩张及其相关概念，伽罗瓦理论，用伽罗瓦定理判断根式解的存在性。

In this dissertation, we establish the fundamental theory and methods to study systems of linear matrix equations over regular rings and polynomial rings over finite central algebras; and investigate some significant systems of linear matrix equations over the rings mentioned above.

本文在正则环和有限维中心代数上的多项式环上初步建立了研究矩阵方程组的基本理论和方法，并在上述环上研究了具体的具有重要意义的矩阵方程组。

In the third chpter, we combine local rings with semiregular rings and strongly π-regular rings, respectively.

我们除了对这两类环的性质作了一定的研究之外，还把一部分局部环和半正则环、强π正则环的结果推广到这两类环上。

It is well known that semiregular rings and strongly π-reguar rings are both semi-π-reguar rings.

众所周知，半正则环和强π正则环都是半π正则环。

Products include a variety of castings and forging, and so on more than 1,000 pieces of products, of which shackle, the first card, blue flowers, wheels, rings, rotating ring, rings, screws, nuts rings, spring hook, hook-eye, rotating hook, Ring, D-ring, ring fast connection, U-Wire, bollard, hold the door, the living section bolts, butterfly nut products such as stainless steel rigging has been occupied with domestic and international cable industry's fixed market.

产品包括各种铸造件和锻造件等上千余种产品，其中卸扣、卡头、花兰、滑轮、套环、旋转环、吊环螺丝、吊环螺母、弹簧钩、眼型钩、旋转钩、圆环、D型环、快速连接环、U型丝、系船柱、门扣、活节螺栓、蝶型螺母等不锈钢索具产品已占领国内外索具行业的固定市场。

An instrument that measures the outer profile parameters of piston rings such as conical rings, tubbish rings by scanning is introduced.

介绍一种采用扫描方式测量锥面环、桶面环等活塞环外圆轮廓参数的测量仪。

The study of fluorescence spectrum proved that the excited phenylene-rings of amorphous PES copolymer with high density phenylene-rings in its main chain could form an excimer with the surrounding unexcited phenylene-rings, and the emission peak intensity of excimer was strengthened with the increase of aging time.

荧光光谱的研究证明，非晶态聚醚砜共聚物由于主链苯环密度较高，苯环受激处于激发态时易与周围激态苯环相互作用形成激基缔合物，缔合物发射峰的强度随老化时间增加而增强。

Caption:: Saturn's icy rings shine in scattered sunlight in this view, which looks toward the unilluminated northern side of the rings from about 15 degrees above the ringplane. The Sun currently illuminates the rings from the south.

图中的土星环是由卡西尼号探测船以环面15度高的角度拍摄，由於现时太阳光由环的南面照射到环，现在所见的环是环的北面，不是被太阳光照射的一面。

In contrast to the ubiquitous rising-sun-with-rays military flag of the Japanese, Chinese banners and ensigns feature a range of designs.

与遍地都是的太阳军旗不同，中国人的旗帜和徽章设计得各式各样。

From their small corner of Feng's Guangzhou headquarters -- a jumble of pink leashes, squeezable rubber steaks, and plastic doggy Santas for Fido's stocking -- Soleil's designers come up with at least five new products a month.

从Feng 设在广州总部的产品展示柜台上可以看到，Soleil的设计师每月至少设计出5件新产品。