Algebra

L. Rédei, I. N. Sneddon, M. Stark

• Publisher: Pergamon
• Year: 2014
• Print ISBN: 9781483197616
• eBook ISBN: 9781483222646
• Topic: Mathematics
• Subtopic: Mathematics General
• Index: Mathematics

Compared with the original German edition this volume contains the results of more recent research which have to some extent originated from problems raised in the previous German edition. Moreover, many minor and some important modifications have been carried out. For example paragraphs 2 — 5 were amended and their order changed. On the advice of G. Pickert, paragraph 7 has been thoroughly revised. Many improvements originate from H. J. Weinert who, by enlisting the services of a working team of the Teachers' Training College of Potsdam, has subjected large parts of this book to an exact and constructive review. This applies particularly to paragraphs 9, 50, 51, 60, 63, 66, 79, 92, 94, 97 and 100 and to the exercises. In this connection paragraphs 64 and 79 have had to be partly rewritten in consequence of the correction

Table of contents

• Front Cover
• Algebra
• Copyright Page
• Table of Contents
• PREFACE TO THE GERMAN EDITION
• PREFACE TO THE ENGLISH EDITION
• LIST OF SYMBOLS
• CHAPTER I. SET-THEORETICAL PRELIMINARIES
• CHAPTER II. STRUCTURES
• CHAPTER III. OPERATOR STRUCTURES
• CHAPTER IV. DIVISIBILITY IN RINGS
• CHAPTER V. FINITE ABELIAN GROUPS
• CHAPTER VI. OPERATOR MODULES
• CHAPTER VII. COMMUTATIVE POLYNOMIAL RINGS
• CHAPTER VIII. THEORY OF FIELDS
• CHAPTER IX. ORDERED STRUCTURES
• CHAPTER X. FIELDS WITH VALUATION
• CHAPTER XI. GALOIS THEORY
• CHAPTER XII. FINITE ONE-STEPNON-COMMUTATIVE STRUCTURES
• BIBLIOGRAPHY
• INDEX
• OTHER TITLES IN THE SERIES IN PURE AND APPLIED MATHEMATICS