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Information Center for Mathematical Science

논문검색

Information Center for Mathematical Science

논문검색

Manuscripta Mathematica.
( Vol. 75 NO.2 / (1992))
Fields: Algebraically Closed and Others
Paulo Ribenboim,
Pages. 115-150
Abstract In this paper, we study fileds of generalized power series, with exponents in a subtotally ordered torsion-free group. We investigate when such fields are algebraically closed, real closed, pythagorean, euclidean, etc.
Contents 1. Preliminaries 1.1. Ordered sets 1.2. Monoids 1.3. Ordered monoids 1.4. Generalized power series 2. Fields of generalized power series 3. Powers 4. Algebraic extensions 5. Algebraically closed fields 6. Squares and real fields
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