Geodesic
Convexity, valuations and Prüfer extensions in real algebra
Documenta mathematica, Tome 10 (2005), pp. 1-109.

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Summary: We analyse the interplay between real valuations, Prüfer extensions and convexity with respect to various preorderings on a given commutative ring. We study all this first in preordered rings in general, then in $f$-rings. Most often Prüfer extensions and real valuations abound whenever a preordering is present. The next logical step, to focus on the more narrow class of real closed rings, is not yet taken, except in some examples.
Classification : 13J30, 13A18, 13F05
Keywords: valuation, Prüfer extension, real holomorphy ring, convex subring 
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     author = {Knebusch, Manfred and Zhang, Digen},
     title = {Convexity, valuations and {Pr\"ufer} extensions in real algebra},
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     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2005__10__a18/}
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Knebusch, Manfred; Zhang, Digen. Convexity, valuations and Prüfer extensions in real algebra. Documenta mathematica, Tome 10 (2005), pp. 1-109. http://geodesic.mathdoc.fr/item/DOCMA_2005__10__a18/