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In this paper, we consider some three-dimensional noncommutative algebraover the field, which contains the algebra of bicomplex numbersas a subalgebra. Locally bounded and Gâteaux-differentiable mappings defined in the domains of the three-dimensional subspace of the algebraand taking values in the algebraare considered. Such mappings generalize holomorphic functions of bicomplex variable and mentioned mappings are described by means of three holomorphic functions of a complex variable.

G -monogenic mappings in a three-dimensional noncommutative algebra