ALGEBRA Field Theory

Starting with the basic notions and results in algebraic extensions, the authors give an exposition of the work of Galois on the solubility of equations by radicals, including Kummer and Artin-Schreier extensions. This is followed by a Chapter on algebras which contains, among other things, norms an...

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Bibliographic Details
Main Authors: Luthar, I.S (Author), Passi, I. B. S. (Author)
Format: Book
Language:English
Published: Harrow, U.K Alpha Science International 2004
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264 # 1 |a Harrow, U.K  |b Alpha Science International  |c 2004 
264 # 4 |c ©2004 
300 # # |a vi, 296 pages  |b illustrations  |c 25 cm 
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504 # # |a Includes bibliographical references and index 
520 # # |a Starting with the basic notions and results in algebraic extensions, the authors give an exposition of the work of Galois on the solubility of equations by radicals, including Kummer and Artin-Schreier extensions. This is followed by a Chapter on algebras which contains, among other things, norms and traces of algebra elements for their actions on modules, representations and their characters, and derivations in commutative algebras. The last Chapter deals with transcendence and includes Lüroth's theorem, separability and its connections with derivations 
650 # 0 |a Algebraic field 
700 1 # |a Passi, I. B. S.  |e author 
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