From the Preface: "topics are: (a) valuation theory; (b) theory of
polynomial and power series rings (including generalizations to
graded rings and modules); (c) local algebra... the
algebro-geometric connections and applications of the purely
algebraic material are constantly stressed and abundantly scattered
throughout the exposition. Thus, this volume can be used in part as
an introduction to some basic concepts and the arithmetic
foundations of algebraic geometry."
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