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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Combining these gives the roots for multicomplex polynomials.
📌 3 Key Takeaways
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Objective & Hypothesis:Tricomplex numbers are a generalization of bicomplex numbers.
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Key Findings & Data:We give an example to illustrate the different situations.
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Conclusion & Impact:Combining these gives the roots for multicomplex polynomials.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:bicomplex numbers · tricomplex numbers · multicomplex numbers
Abstract
Tricomplex numbers are a generalization of bicomplex numbers. In this paper we detail a technic for finding the roots of tricomplex polynomials. We then generalize the process to multicomplex polynomials. We first consider the set of tricomplex numbers as a Bicomplex Module, then we view it as a $\mathbb{C}$-algebra and we reduce the working method to complex polynomials. We give an example to illustrate the different situations. We then calculate the set of all tricomplex $n^{th}$ roots of unity. Finally, for a multicomplex polynomial, we explain a reduction process ending to search roots in the complex field. Combining these gives the roots for multicomplex polynomials.
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Cite This Article
Achour, D., Belbachir, H., Bouyakoub, A. (2026). A study on tricomplex polynomials. Hacettepe Journal of Mathematics and Statistics, Volume: 55 Issue: 1. https://doi.org/10.15672/hujms.1663042