Algebra 作者:Siegfried Bosch 出版社:Birkhauser 副标题:From the Viewpoint of Galois Theory 出版年:2018-11-13 页数:352 丛书:Birkhäuser Advanced Texts Basler Lehrbücher ISBN:9783319951768 豆瓣评分 评价人数不足 推荐
[Birkhäuser Advanced Texts Basler Lehrbücher] Algebra (From the Viewpoint of Galois Theory) || Applications of Galois TheoryIn the previous chapters we have developed group theory, field theory, and in particular, Galois theory to a sufficiently high level, allowing us to consider applications ...
The concept of a splitting field is essential to the Galois theory of equations. After this, the necessary material from group theory needed to complete both the insolvability of the quintic and solvability by radicals in general is presented. Hence the middle part of the book, Chapters 9 ...
Courant Lecture Notes in Mathematics(共32册), 这套丛书还有 《Introduction to Pdes and Waves for the Atmosphere and Ocean》《Stochastic Processes》《Notes on Dynamical Systems》《An Introduction to Theoretical Fluid Mechanics》《A Dynamical Approach to Random Matrix Theory》 等。
From the viewpoint of higher homological algebra, a natural question to... R Ebrahimi,A Nasr-Isfahani - 《Journal of Algebra》 被引量: 0发表: 2024年 Galois theory and homology in quasi-abelian functor categories In this situation, the categories of various internal categorical structures inA, ...
minhdat296 / Foundations-of-geometric-representation-theory Star 0 Code Issues Pull requests In this project, we attempt to reformulate various notions from classical commutative algebra (such as flatness, regularity, smoothness, etc.) in an entirely categorical manner, so as to be able to ...
Differential Galois theory and tensor products The author gives a short and selfcontained proof of the fundamental theorems of differential Galois theory. The ideas of the paper build upon lecture notes from 1984 by M. van der Put (unpublished), where one also finds proofs of these t... AHM...
Galois theory See all related content group theory, inmodern algebra, the study of groups, which are systems consisting of a set of elements and abinaryoperation that can be applied to two elements of the set, which together satisfy certainaxioms. These require that thegroupbe closed under the...
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Abstract: A finite group is never the union of conjugates of a proper subgroup. Equivalently, a nontrivial finite transitive permutation group always contains a derangement (a fixed-point-free permutation). This is a theorem of Jordan (1872) and it follows from a simple counting argument. I ...