查询词典 integral closure

Computing integral closure of a finite extension is not only an important problem in commutative algebra, but also in algebraic geometry and algebraic number theory.

计算有限扩张的整闭包不但是交换代数中的一个核心问题，也很受代数几何以及代数数论发展的推动。

River closure is an integral part in the course of building water conservancy projects.

施工截流是水利水电工程施工中的重要环节，关系到整个工程全局。

The ring C is called the integral closure of A in B.

环C叫作A在B中的整闭包。

In this paper,we give the representation of integral closure of a cubic extension about general Neotherian unique factorization domain (2,3 are not units). Then we give a series of integral number about a cubic extension.

本文在前人研究的基础上，去掉2，3可逆的这一条件，给出了诺特唯一分解环上的三次扩张的整闭包的描述，并由此刻画了一批该扩张下的整元。

Let OKbe the integral closure of the polynomial ring A = Fq in K, and UK be the group ofunits of OK .

设OK为多项式环A = Fq在K中的整闭包， UK为OK的单位群。

In chapter 4, Based on the orthogonality relations and duality of C-algebras, we study the decompositions of C-algebras, and give a Fourier inversion formula on C-algebras, which generalizes the Fourier inversion formula on the center of a finite group algebra over complex. As an application, we characterize the integral closure of C-algebras over the ring of integers, and show a necessary and sufficitient condition for elements of C-algbras being algbraic integral over integers.

第四章 我们应用C-代数的正交性及对偶性刻画了C-代数的一个分解，给出了C-代数上这个完全分解的Fourier反演公式，从而推广了Z分解的Fourier反演公式；作为Fourier反演公式的一个应用，我们刻画了Z在整数环Z上的整闭包，进一步我们研究了C-代数在整数环Z上的整闭包，给出了C-代数在整数环Z上为整元的一个充要条件。

Neotherian unique factorization domain; cubic extension; integral closure

诺特唯一分解环；三次扩张；整闭包

I am accused of being overreligious," she said in her quiet, frank manner,"but that does not prevent me thinking the children very cruel who obstinately commit such suicide.""

客人们在卡罗利娜·埃凯家里，举止就文雅一些，因为卡罗利娜的母亲治家很严厉。

Designed by French fashion house Herm è s, this elegant uniform was manufactured in our home, Hong Kong, and was the first without a hat.

由著名品牌 Herm è s 设计，这件高贵的制服是香港本土制造，是我们第一套不配帽子的制服。