N ov 2 00 8 EXPONENTIAL ALGEBRAICITY IN EXPONENTIAL FIELDS
نویسنده
چکیده
I give an algebraic proof that the exponential algebraic closure operator in an exponential field is always a pregeometry, and show that its dimension function satisfies a weak Schanuel property. A corollary is that there are at most countably many essential counterexamples to Schanuel’s conjecture.
منابع مشابه
2 3 O ct 2 00 8 EXPONENTIAL ALGEBRAICITY IN EXPONENTIAL FIELDS
I give an algebraic proof that the exponential algebraic closure operator in an exponential field is always a pregeometry, and show that its dimension function satisfies a weak Schanuel property. A corollary is that there are at most countably many essential counterexamples to Schanuel’s conjecture.
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تاریخ انتشار 2008