Algebraic properties of separated power series |
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Authors: | Y. Fırat Çelikler |
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Affiliation: | (1) Department of Mathematics, CUNY College of Technology, Brooklyn, NY 11201, USA |
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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. |
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Keywords: | Primary 13C15 Secondary 03C10 14A05 |
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