Sinossi
The book lays algebraic foundations for real geometry through a systematic investigation of partially ordered rings of semi-algebraic functions. Real spectra serve as primary geometric objects, the maps between them are determined by rings of functions associated with the spectra. The many different possible choices for these rings of functions are studied via reflections of partially ordered rings. Readers should feel comfortable using basic algebraic and categorical concepts. As motivational background some familiarity with real geometry will be helpful. The book aims at researchers and graduate students with an interest in real algebra and geometry, ordered algebraic structures, topology and rings of continuous functions.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
Preordered and partially ordered rings.- Reflective subcategories.- Totally ordered and real closed fields.- Real spectra of preordered rings.- Epimorphisms of reduced porings.- Functions and representable porings.- Semi-algebraic functions.- Comparing reflectors.- Constructing reflectors.- H-closed epireflectors.- Quotient-closed reflectors.- The real closure reflector.- Arities of reflectors and approximations by H-closed reflectors.- Epimorphic extensions of reduced porings.- Essential monoreflectors.- Reflections of totally ordered fields.- von Neumann regular f-rings.- Totally ordered domains.- Reduced f-rings.- Rings of continuous piecewise polynomial functions.- Rings of continuous piecewise rational functions.- Discontinuous semi-algebraic functions.- The lattice of H-closed monoreflectors.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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Semi-algebraic function rings and reflectors of partially ordered rings. Lecture Notes in Mathematics; 1712.
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Softcover. [Online-Ressource]. X, 279 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-04184 9783540664604 Sprache: Englisch Gewicht in Gramm: 550. Codice articolo 2490413
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Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings (Lecture Notes in Mathematics 1712)
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Semi-Algebraic Function Rings and Reflectors of Partially Ordered Rings
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Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings
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Springer Berlin Heidelberg Okt 1999, 1999
ISBN 10: 3540664602
ISBN 13: 9783540664604
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Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The book lays algebraic foundations for real geometry through a systematic investigation of partially ordered rings of semi-algebraic functions. Real spectra serve as primary geometric objects, the maps between them are determined by rings of functions associated with the spectra. The many different possible choices for these rings of functions are studied via reflections of partially ordered rings.Readers should feel comfortable using basic algebraic and categorical concepts. As motivational background some familiarity with real geometry will be helpful. The book aims at researchers and graduate students with an interest in real algebra and geometry, ordered algebraic structures, topology and rings of continuous functions. 300 pp. Englisch. Codice articolo 9783540664604
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Semi-Algebraic Function Rings and Reflectors of Partially Ordered Rings
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Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Includes supplementary material: sn.pub/extrasThe book lays algebraic foundations for real geometry through a systematic investigation of partially ordered rings of semi-algebraic functions. Real spectra serve as primary geometric objects, the ma. Codice articolo 4897707
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Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings
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Springer, Springer Vieweg Okt 1999, 1999
ISBN 10: 3540664602
ISBN 13: 9783540664604
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Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The book lays algebraic foundations for real geometry through a systematic investigation of partially ordered rings of semi-algebraic functions. Real spectra serve as primary geometric objects, the maps between them are determined by rings of functions associated with the spectra. The many different possible choices for these rings of functions are studied via reflections of partially ordered rings. Readers should feel comfortable using basic algebraic and categorical concepts. As motivational background some familiarity with real geometry will be helpful. The book aims at researchers and graduate students with an interest in real algebra and geometry, ordered algebraic structures, topology and rings of continuous functions.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 300 pp. Englisch. Codice articolo 9783540664604
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Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings
Editore:
Springer, Springer Vieweg, 1999
ISBN 10: 3540664602
ISBN 13: 9783540664604
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Da: AHA-BUCH GmbH, Einbeck, Germania
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - The book lays algebraic foundations for real geometry through a systematic investigation of partially ordered rings of semi-algebraic functions. Real spectra serve as primary geometric objects, the maps between them are determined by rings of functions associated with the spectra. The many different possible choices for these rings of functions are studied via reflections of partially ordered rings.Readers should feel comfortable using basic algebraic and categorical concepts. As motivational background some familiarity with real geometry will be helpful. The book aims at researchers and graduate students with an interest in real algebra and geometry, ordered algebraic structures, topology and rings of continuous functions. Codice articolo 9783540664604
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Semi-Algebraic Function Rings and Reflectors of Partially Ordered Rings
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Condizione: As New. Unread book in perfect condition. Codice articolo 918680
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Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings (Lecture Notes in Mathematics 1712)
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Paperback. Condizione: Like New. Like New. book. Codice articolo ERICA77535406646026
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