Cogalois Theory

1st Edition

Toma Albu

CRC Press
Published October 16, 2002
Reference - 368 Pages
ISBN 9780824709495 - CAT# DK2108
Series: Chapman & Hall/CRC Pure and Applied Mathematics

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Summary

This volume offers a systematic, comprehensive investigation of field extensions, finite or not, that possess a Cogalois correspondence. The subject is somewhat dual to the very classical Galois Theory dealing with field extensions possessing a Galois correspondence. Solidly backed by over 250 exercises and an extensive bibliography, this book presents a compact and complete review of basic field theory, considers the Vahlen-Capelli Criterion, investigates the radical, Kneser, strongly Kneser, Cogalois, and G-Cogalois extensions, discusses field extensions that are simultaneously Galois and G-Cogalois, and presents nice applications to elementary field arithmetic.

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