The Structure of Arithmetic Fields
This chapter develops the basic structure theory for local and global fields; we follow A. Weil in stressing the topological rather than algebraic perspective, although perhaps less emphatically. Thus the more algebraically inclined will gain new insight into phenomena that have more often been treated in the context of the fraction field of a discrete valuation ring with finite residue field, or a Dedekind domain.
KeywordsPrime Ideal Local Ring Topological Vector Space Prime Ring Residue Field
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