Exponential algebraicity in exponential fields
نویسندگان
چکیده
منابع مشابه
N ov 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.
متن کامل2 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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ژورنال
عنوان ژورنال: Bulletin of the London Mathematical Society
سال: 2010
ISSN: 0024-6093
DOI: 10.1112/blms/bdq044