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Algebraic Extensions of Fields by Paul J. McCarthy. ".r, unsophisticated and direct..". — Math. This textbook is intended to prepare graduate students for the further study of fields, especially algebraic number theory and class field theory. It presumes some familiarity with topology and a solid background in abstract algebra.
Algebraic Extensions of Fields by Paul J. McCarthy | NOOK
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Algebraic Extensions of Fields: Paul J. McCarthy
Mar 19, 2016McCarthy first deals with valuation theory of fields. Then he deals with extensions of valuated fields. These two chapters are straight forward. In the last chapter he defines structures he calls "Dedekind fields", this concept is based on valuations and is a generalization of the concept of an algebraic number field.Cited by: 72Author: Paul J. McCarthy3.8/5(4)Publish Year: 1976
Algebraic Extensions of Fields, Paul J. McCarthy - Amazon
McCarthy first deals with valuation theory of fields. Then he deals with extensions of valuated fields. These two chapters are straight forward. In the last chapter he defines structures he calls "Dedekind fields", this concept is based on valuations and is a generalization of the concept of an algebraic number field.3.8/5(4)Format: KindleAuthor: Paul J. McCarthy
Algebraic Extensions of Fields by Paul J. McCarthy
Chapter 4 is concerned with extensions of valuated field, and in particular, with extensions of complete valuated fields. Chapter 5 contains a proof of the unique factorization theorum for ideals of the ring of integers of an algebraic number field. The treatment is valuation-theoretic throughout.

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