Volume 1712 1999

Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings

Authors:

ISBN: 978-3-540-66460-4 (Print) 978-3-540-48284-0 (Online)

Table of contents (24 chapters)

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    Book Chapter

    Pages 1-19

    Introduction

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    Book Chapter

    Pages 21-33

    Preordered and partially ordered rings

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    Book Chapter

    Pages 35-42

    Reflective subcategories

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    Book Chapter

    Pages 43-44

    Totally ordered and real closed fields

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    Book Chapter

    Pages 45-49

    Real spectra of preordered rings

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    Book Chapter

    Pages 51-53

    Epimorphisms of reduced porings

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    Book Chapter

    Pages 55-61

    Functions and representable porings

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    Book Chapter

    Pages 63-77

    Semi-algebraic functions

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    Book Chapter

    Pages 79-92

    Comparing reflectors

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    Book Chapter

    Pages 93-105

    Constructing reflectors

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    Book Chapter

    Pages 107-123

    H-closed epireflectors

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    Book Chapter

    Pages 125-132

    Quotient-closed reflectors

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    Book Chapter

    Pages 133-160

    The real closure reflector

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    Book Chapter

    Pages 161-166

    Arities of reflectors and approximations by H-closed reflectors

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    Book Chapter

    Pages 167-181

    Epimorphic extensions of reduced porings

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    Book Chapter

    Pages 183-188

    Essential monoreflectors

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    Book Chapter

    Pages 189-199

    Reflections of totally ordered fields

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    Book Chapter

    Pages 201-208

    von Neumann regular f-rings

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    Book Chapter

    Pages 209-215

    Totally ordered domains

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    Book Chapter

    Pages 217-227

    Reduced f-rings

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