Galois Theory and Advanced Linear Algebra by Rajnikant Sinha
Author:Rajnikant Sinha
Language: eng
Format: epub, pdf
ISBN: 9789811398490
Publisher: Springer Singapore
Next,
Suppose that .
Here . Also . Since , we have , that is, is an automorphism, and hence
Thus . Now, since and , we have . Since is an automorphism, is one-to-one. Since , we have , and hence . Since , we have
Case I: . For every ,
that is, for every , we have
This shows that is equal to the identity mapping Id of K. Let us denote this by . Thus and .
Case II: . For every ,
that is, for every , we have
Let us denote this by . Thus , and for every , we have
Also .
Download
Galois Theory and Advanced Linear Algebra by Rajnikant Sinha.pdf
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.
Linear Algebra for Computational Sciences and Engineering by Ferrante Neri(460)
Numerical Linear Algebra and Matrix Factorizations by Tom Lyche(428)
Linear Algebra and Its Applications by Peter D. Lax(394)
Nonnegative Matrices and Applicable Topics in Linear Algebra by Alexander Graham(326)
Linear Algebra and Optimization for Machine Learning by Charu C. Aggarwal(312)
Introduction to Tensor Analysis and the Calculus of Moving Surfaces by Pavel Grinfeld(303)
A Matrix Algebra Approach to Artificial Intelligence by Xian-Da Zhang(303)
Introduction to Linear Algebra by Frank M. Stewart(275)
The Jossey-Bass Handbook of Nonprofit Leadership and Management by David O. Renz(272)
Linear Algebra by Jörg Liesen & Volker Mehrmann(250)
Galois Theory and Advanced Linear Algebra by Rajnikant Sinha(230)
EXCEL 2019: A Quick And Easy Guide To Master Spreadsheets And Boosting Productivity, With Tips And Tricks To Make Easier The use Of Excel Thanks To The Keyboard Commands by Jones Edward(184)
