Andere resultaten
In 1874 he submitted this doctoral dissertation on algebraic integers and was awarded the degree.
他在1874年提交本博士论文的代数整数和被授予学位。
The theory of Galois module structure of rings of algebraic integers has been developed by the author and others during the last twenty years, and the book under review contains a detailed survey of it.
理论 伽罗瓦模块结构环代数整数制定了作者和其他人在过去20年里,这本书,并根据审查包含了详细的调查它。
In 1983 he published Galois module structure of algebraic integers which is described by Browkin in a review which begins as follows
在1983年他出版了伽罗瓦模块结构的代数整数 这是描述Browkin在审查开始如下:
Continuing his research, he studied arithmetic in the ring of integers in algebraic number fields.
继续他的研究,他研究的算术整数环的代数数领域。
Dedekind formulated his theory in the ring of integers of an algebraic number field.
戴德制定了他的理论在整数环的代数数领域。
He conjectured results about the number of solutions to polynomial equations over the integers using intuition on how algebraic topology should apply in this novel situation.
他推测结果的数量解决多项式方程组的整数用直觉就如何代数拓扑结构 应适用于这种新型的情况。
An algebraic equation with two or more variables whose coefficients are integers, studied to determine all integral solutions.
丢番图方程:具有二个或二个以上其系数为整数变量的代数方程式,作为探究所有整数解的用途
Weil's work related questions about integer solutions to polynomial equations to questions in algebraic geometry.
韦伊的工作有关问题的整数解,以多项式方程组的问题在代数几何 。
Ore's early work was on algebraic number fields where he was interested in the problem of decomposing the ideal generated by a prime integer into prime ideals.
矿石的早期工作是在代数数领域,他感兴趣的问题,理想的分解所产生的一个主要的整数到总理的理想。
In 1950 he published On entire functions with algebraic derivatives at certain algebraic points and in the following year On the polynomials whose derivatives have integral values at the integers.
在1950年他出版了整函数论与代数衍生物在某些代数点和 下一年的多项式,其衍生物有积分值的整数。
The natural numbers, the integers, the rationals, and the reals are all totally ordered by their algebraic (signed) magnitude whereas the complex numbers are not.
自然数 、整数 、有理数 和实数 都关于它们代数(有符号)大小是全序的,而复数 不是。
today it is no exaggeration to say that Iwasawa's ideas have played a pivotal role in many of the finest achievements of modern arithmetical algebraic geometry on such questions as the conjecture of B Birch and H Swinnerton-Dyer on elliptic curve; the conjecture of B Birch, J Tate, and S Lichtenbaum on the orders of the K-groups of the rings of integers of number fields; and the work of A Wiles on the modularity of elliptic curves and Fermat's Last Theorem.
今天是毫不夸张地说,岩泽的思想发挥了关键作用在许多最优秀的成就现代算术代数几何等问题上的猜想的B桦树和H斯温纳顿,戴尔椭圆曲线;猜想的B白桦, J山和S Lichtenbaum的命令的K -组的整数环的一些领域和工作的 怀尔斯的模块化椭圆曲线和费马最后定理 。
undoubtedly the high point of Ali's mathematical life; it related the algebraic Galois structure of rings of integers to an analytic invariant in an entirely new and sensational way. it thrust him and his subject to the fore on the world stage; in particular he was invited to present his work at the International Congress of Mathematicians in 1974.
本文阿廷根号码和正常积分的基础四元 介绍领域 的作者为: ... 毫无疑问,高点的阿里的数学生活;它涉及 伽罗瓦代数结构的整数环的解析不变的一个全新的和耸人听闻的方式。