Baro González, ElíasVicente, J. deOtero, M.2023-06-172023-06-172018Baro, E., J. De Vicente, y M. Otero. «An Extension Result for Maps Admitting an Algebraic Addition Theorem». The Journal of Geometric Analysis 29, n.o 1 (enero de 2019): 316-27. https://doi.org/10.1007/s12220-018-9992-7.1559-002X10.1007/s12220-018-9992-7https://hdl.handle.net/20.500.14352/13160International Program of Excellence in Mathematics at Universidad Autónoma de MadridWe prove that if an analytic map : U [flecha] Cn, where U [incluye] C [elevado a ] n is an open neighborhood of the origin, admits an algebraic addition theorem then, there exists a meromorphic map g : C [elevado a]n [flecha] C [elevado a]n admitting an algebraic addition theorem such that each coordinate function of f is algebraic over C(g) on U (this was proved by K. Weierstrass for n = 1). Furthermore, g admits a rational addition theorem.engjournal articlehttps://link.springer.com/article/10.1007/s12220-018-9992-7open access512ÁlgebraAlgebraic addition theoremRational addition theoremNash groupsMatemáticas (Matemáticas)Álgebra12 Matemáticas1201 Álgebra