Algebra : Field Theory Book Information:

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 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 L?roth?s theorem, N?ether?s normalization lemma, Hilbert?s Nullstellensatz, heights and depths of prime ideals in finitely generated overdomains of fields, separability and its connections with derivations. Table Of Contents: Chapter 1. Algebraic Extensions: Extensions and algebras / Algebraic extensions / Splitting fields, algebraic closure and normal extensions / Roots of unity, finite fields / Separable and inseparable algebraic extensions / Chapter 2. Galois Theory: The Galois group and the fundamental theorem / Solubility of equations by radicals / Additional results / Chapter 3. Algebras: Algebras / Tensor product of algebras / Norms and traces / Generalities on representations and their characters / Derivations in commutative algebras / Chapter 4. Further Field Theory : Transcendence / Finitely generated overdomains of fields / Separability / Derivations and separability / Bibliography / Index Audience Postgraduate & Doctoral Students and Teachers

• Book Type/Genre :

Higher Education Textbooks

• Book Binding :

Paperback

• Language :

English

• Number of Pages :

Page count varies on each edition/reprint

• ISBN - 10 :

• Algebra : Field Theory Published On :

• Resource:

Textbooks & Study Guides, Higher Education Textbooks Book is recommended for Students, Teachers, Graduates, Professionals, and all bibliophiles

Disclaimer:

• Algebra : Field Theory Book is not for reading online or for free download in PDF or eBook format.
• Table of Contents, Index, Syllabus, summary and image of Algebra : Field Theory book may be of a different edition or of the same title.
• The Price of this product may change due to the reprinting of the book or by the publisher. For imported books, the price may change frequently due to exchange rates.
• Algebra : Field Theory by I.S. Luthar Book reviews and ratings are trustworthy and the product description given above is true to the best. The product description posted here by sellers would be updated based on the Customer's feedback, if the details are not accurate.
• The customers who have bought this product can write your best reviews and suggest the product if the item's price is low which would be helpful for the buyers interested to purchase. Read Best & Top Books related to this item
• The above Bibliographic information is specific to this book which is being listed for sale. Any Colophons printed at the end of the book is owned by book author and publisher
• Special offers, deals & discounts on this product are subject to the terms and conditions owned by the website