  This paper explores the solvability and global hypoellipticity of Vekua-type
differential operators on the n-dimensional torus, within the framework of
Denjoy-Carleman ultradifferentiability. We provide the necessary and sufficient
conditions for achieving these global properties in the case of
constant-coefficient operators, along with applications to classical operators.
Additionally, we investigate a class of variable coefficients and establish
conditions for its solvability.
