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- Publisher
- Springer Journals
- Copyright
- Copyright © 2007 by Springer-Verlag
- Subject
- Mathematics; Mathematics, general
- ISSN
- 0025-5874
- eISSN
- 1432-1823
- DOI
- 10.1007/s00209-007-0245-x
- Publisher site
- See Article on Publisher Site
Abstract
We study the commutative algebra of rings of separated power series over a ring E and that of their extensions: rings of separated (and more specifically convergent) power series from a field K with a separated E-analytic structure. Both of these collections of rings already play an important role in the model theory of non-Archimedean valued fields and we establish their algebraic properties. This will make a study of the analytic geometry over such fields through the classical methods of algebraic geometry possible.
Journal
Mathematische Zeitschrift – Springer Journals
Published: Sep 8, 2007