You are here: MIMS > EPrints
MIMS EPrints

2008.85: Elementary properties of minimal and maximal points in Zariski spectra

2008.85: Niels Schwartz and Marcus Tressl (2008) Elementary properties of minimal and maximal points in Zariski spectra.

Full text available as:

PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
438 Kb


We investigate connections between arithmetic properties of rings and topological properties of their prime spectrum. Any property that the prime spectrum of a ring may or may not have, defines the class of rings whose prime spectrum has the given property. We ask whether a class of rings defined in this way is axiomatizable in the model theoretic sense. Answers are provided for a variety of different properties of prime spectra, e.g., normality or complete normality, Hausdorffness of the space of maximal points, compactness of the space of minimal points.

Item Type:MIMS Preprint
Uncontrolled Keywords:commutative ring, prime ideal, spectral space, axiomatizability
Subjects:MSC 2000 > 08 General algebraic systems
MSC 2000 > 14 Algebraic geometry
MIMS number:2008.85
Deposited By:Dr Marcus Tressl
Deposited On:10 October 2008

Download Statistics: last 4 weeks
Repository Staff Only: edit this item