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On freely generated E-subrings

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In this paper we prove, without assuming Schanuel's conjecture, that the E-subring generated by a real number not definable without parameters in the real exponential field is freely generated. We also obtain a similar result for the complex exponential field.

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Exponential reings

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Citation

Edmundo, Mário; Terzo, G. - On freely generated E-subrings. "Journal of Pure and Applied Algebra" [Em linha]. ISSN 2-4049. Vol. 213, nº 5 (2009), p. 1-14

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