Description
Book SynopsisBased on the author's LMS lecture note volume Skew Field Constructions, the present work offers a comprehensive account of skew fields. Numerous exercises test the reader's understanding, presenting further aspects and open problems in a concise form. The notes and comments at the end of each chapter provide an historical background.
Trade ReviewReview of the hardback: '… the first book on this theme and will be the basis of any future development in this field.' J. Schoissengeier, Monatshefte für Mathematik
Review of the hardback: 'While the material is quite technical, the book is very readable.' Mathematika
Review of the hardback: '… an up-to-date account.' European Mathematical Society Newsletter
Review of the hardback: 'This is a tremendous piece of work, whose importance will grow for many years.' Bulletin of the London Mathematic Society
Table of ContentsPreface; From the preface to Skew Field Constructions; Note to the reader; Prologue; 1. Rings and their fields of fractions; 2. Skew polynomial rings and power series rings; 3. Finite skew field extensions and applications; 4. Localization; 5. Coproducts of fields; 6. General skew fields; 7. Rational relations and rational identities; 8. Equations and singularities; 9. Valuations and orderings on skew fields; Standard notations; List of special notations used throughout the text; Bibliography and author index; Subject index.
