%0 Journal Article
%A Pogorui, A. A.
%D 2010
%F zu2:13405
%I Taylor & Francis
%J Complex Variables and Elliptic Equations
%K Hyperholomorphic function; Commutative algebra; Polynomial
%N 12
%P 1155-1159
%T Hyperholomorphic functions on commutative algebras
%U http://eprints.zu.edu.ua/13405/
%V 52
%X In this article, we study properties of hyperholomorphic functions on commutative  finite-dimensional algebras. The Cauchy–Riemann type conditions for hyperholomorphic  functions is investigated. We prove that a hyperholomorphic function on a commutative finitedimensional  algebra can be expanded in a Taylor series. We also present a technique for  computing zeros of polynomials in commutative algebras.