Differentiable functions in a three-dimensional associative noncommutative algebra

We consider a three-dimensional associative noncommutative algebra Ae2 over the field C with the basis {I1, I2, ρ}, where I1, I2 are idempotents and ρ is nilpotent. The algebra Ae2 contains the algebra of bicomplex numbers B(C) as a subalgebra. In this paper we consider functions of the form Φ(ζ)...

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Bibliographic Details
Main Authors: Kuzmenko Tetiana, Shpakivskyi Vitalii
Format: Article
Language:English
Published: ATNAA 2022-01-01
Series:Advances in the Theory of Nonlinear Analysis and its Applications
Subjects:
Online Access:https://dergipark.org.tr/tr/download/article-file/1694620