Academic Journal of Mathematical Sciences, 2024, 5(3); doi: 10.25236/AJMS.2024.050316.
Jinle Hu1, Kexin Yan2
1School of Mathematics and Big Data, Chaohu University, Hefei, 238024, China
2School of Mathematics, South China University of Technology, Guangzhou, Guangdong, 510641, China
This paper studies arithmetic operations sequences of split complex numbers, which form a commutative ring with zero divisors based on two real numbers. These operations are fundamental to the theory of split complex limit. Addressing the challenge of zero divisors within split complex numbers, the paper leverages their decomposition properties to devise an algorithm for the convergent separation of sequences. This development is pivotal for advancing the limit theory on the split complex numbers plane. Furthermore, the research extends its implications to the application of physical direction, providing a solid groundwork for both theoretical exploration and practical application in physics and related fields. The paper's results not only enhance our understanding of the algebraic structure of split complex numbers but also open new avenues for their utilization in modeling physical phenomena.
Arithmetic Operations, Split Complex Numbers, Zero Divisors
Jinle Hu, Kexin Yan. The Limit and the Arithmetic Operations of Sequences in Split Complex Plane. Academic Journal of Mathematical Sciences (2024) Vol. 5, Issue 3: 142-146. https://doi.org/10.25236/AJMS.2024.050316.
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