92 S. S. BROWN Algebraically Closed Fields 35 Algebraic Set 35 Atomic Formula 3 Bound Variable 3 Cauchy Sequence 34 Complete Set of Representatives 7 Completeness of Theory 3 Completion 34 Constant Symbol 3 Decision Procedure 4 Delimit 9 Discrete Valuation 33 First Order Language 3 Formula 3 Free Variable 3 Function Symbol 3 Hensel's Lemma 51 Holds in a Theory 3 Independent 39 Integers 13 Irreducible Algebraic Set 35 Irreducible Components 35 Language 3 Limitation of Quantifiers 5 Limited Quantifier 3 INDEX Matrix 3 Newton Polygon of a Polynomial 45 Newton Polygon of a Power Series 47 Nonarchemedian Valuation 33 p-adic Numbers 34 p-adic Valuation 33 Prenex Form 3 Quantifiers 3 Radius of Convergence 43 Radius of Dominance 43 Rank One 33 Rational Numbers 9 Real Numbers 27 Relation Symbol 3 Resultant 19 Residue Class Field 34 Residue Map 34 Satisfies 3 Statement 3 Structure 3 Term 3 Truth Value 3 Ultrametric 33 Uniformizing Parameter 73 Valuation 33

Purchased from American Mathematical Society for the exclusive use of nofirst nolast (email unknown) Copyright 1978 American Mathematical Society. Duplication prohibited. Please report unauthorized use to cust-serv@ams.org. Thank You! Your purchase supports the AMS' mission, programs, and services for the mathematical community.