Abstract
In a previous paper [1] the author gave a definition of analytic function in linear associative algebras with an identity. With each such algebra there was associated a set of partial differential equations called generalized Cauchy-Riemann differential equations which serve as a criterion to determine whether a given function is analytic in that algebra. A simplification for the commutative case has been given by Wagner [2]. The purpose of this paper is to give sufficient conditions (Theorem 2) that a set of equations
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