de Andrade, Antonio Aparecido [UNESP]Facini, Linara Stéfani [UNESP]Esteves, Livea Cichito [UNESP]2023-07-292023-07-292022-01-01Journal of Prime Research in Mathematics, v. 18, n. 2, p. 112-124, 2022.1818-54951817-3462http://hdl.handle.net/11449/248567Let K = Q(θ), where (Formula Presented), be a pure sextic field with d ≠ 1 a square free integer. In this paper, we characterize completely whether {1, θ,…, θ5} is an integral basis of K or do not. When d ≢ ±1,±17,±10,−15,−11,−7,−3, 5, 13(mod 36) we prove that K has a power integral basis. Furthermore, for the other cases we present an integral basis112-124engAlgebraic number fieldalgebraic number integerpure sextic extensionArtigo2-s2.0-85150884030