Author | Schwartz, Niels. author |
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Title | Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings [electronic resource] / by Niels Schwartz, James J. Madden |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1999 |
Connect to | http://dx.doi.org/10.1007/BFb0093968 |
Descript | XIII, 279 p. online resource |
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