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.
On freely generated E-subrings / Edmundo, M. J.; Terzo, G.. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - 213:5(2009), pp. 690-697. [10.1016/j.jpaa.2008.09.013]
On freely generated E-subrings
Terzo G.
2009
Abstract
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.File in questo prodotto:
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