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Precize FIELD THEORY

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The entire subject matter in the present book has been arranged in a simple, systematic, graded, lucid and exhaustive manner. Each chapter begins with definitions followed by theorems with complete proofs and solved problems. A large number of notes and remarks have been added for better understanding of the subject. For UGC-CSIR NET examination, some MCQ’s from the previous years papers and other similar questions have been added at the end of the book.

Description

Field, characteristic of a field, subfield and prime field of a field, field extension, the degree of a field extension, Adjunction of roots, splitting field, finite fields, Algebraically closed fields, existence of algebraic closure, algebraically closed fields. Separable, normal and purely inseparable extensions. Perfect fields, primitive elements. Langrange’s theorem on primitive elements.
Galois extensions, the fundamental theorem of Galois theory, Cyclotomic extensions and Cyclic extensions, Applications of cyclotomic extensions and Galois theory to the constructability of regular polygons, Solvability of polynomials by radicals.

Additional information

ISBN

9788192429786

Language

English

Binding

Paperback

Year of Publication

2020

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