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Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings (Paperback, 1999 ed.)
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Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings (Paperback, 1999 ed.)
Series: Lecture Notes in Mathematics, 1712
Expected to ship within 10 - 15 working days
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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.
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