Henson and Rubel's Theorem for Zilber's Pseudoexponentiation

2009/03/08 by Shkop, Ahuva C.
#03C60 #FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.0903.1442

Abstract

This paper contains an alternate proof of the Schanuel Nullstellensatz for Zilber's Pseudoexponentiation. Furthermore, in an algebraically closed exponential field whose exponential map is surjective with standard kernel, this property follows from the field being exponentially algebraically closed.

Related

• On Zilber's field
• A special case of quasiminimality
• Excellence and uncountable categoricity of Zilber's exponential fields
• Involutions on Zilber fields
• Schanuel's Conjecture and Algebraic Roots of Exponential Polynomials