I. S. Luthar Algebra, Vol. 4: Field Theory

ISBN 13: 9781842651919

Algebra, Vol. 4: Field Theory

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9781842651919: Algebra, Vol. 4: Field Theory

Stating 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 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 Luroth's theorem, Noethers normalization lemma, Hilbert's Nullstellensatz, heights and depths of prime ideals in finitely generated overdomains of fields, separability and its connections with derivations.

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About the Author:

I.S. Luthar.: Formerly Professor of Mathematics Punjab University, Chandigarh, India I.B.S. Passi.: Harish-Chandra Research Institute Jhunsi, Allahabad, India

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Book Description Alpha Science International Ltd, United Kingdom, 2004. Hardback. Book Condition: New. Language: English . Brand New Book. 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 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 Luroth s theorem, Noether s normalization lemma, Hilbert s Nullstellensatz, heights and depths of prime ideals in finitely generated overdomains of fields, separability and its connections with derivations. Bookseller Inventory # AAJ9781842651919

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Book Description Alpha Science International Ltd, United Kingdom, 2004. Hardback. Book Condition: New. Language: English . Brand New Book. 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 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 Luroth s theorem, Noether s normalization lemma, Hilbert s Nullstellensatz, heights and depths of prime ideals in finitely generated overdomains of fields, separability and its connections with derivations. Bookseller Inventory # AAJ9781842651919

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