Chadaphorn.Kodsueb

Affiliation: Suranaree University of Technology, Thailand

Title Of Talk: Multiplication table with diagonal condition on the Gaussian integers

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Abstract: Multiplication table of a ring with identity $\mathbf{1}$ is said to have the diagonal condition if $\mathbf{1}$'s occur only on the main diagonal. In this work, we study the diagonal condition in the ring of Gaussian integers $\mathbb{Z}[i]$. Furthermore, we also find the Gaussian integers $\alpha$ so the ring of Gaussian integers modulo $\alpha$ have the diagonal condition.

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