2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/174286It is well known that the real and imaginary parts of any holomorphic function are harmonic functions of two variables. In this paper we generalize this property to finite-dimensional commutative algebras. We prove that if some basis of a subspace of a commutative algebra satisfies a polynomial equation then components of a hyperholomorphic function on the subspace are solutions of the respective partial differential equation.4 pagesAnalysis of PDEsCommutative Algebra35C99; 32W50text