“\begin{aligned} & \text { A } \mathbb{Z} \text {-BASIS OF THE } S_n \text {-INVARIANT SUBRING } \\ & \text { OF } \mathbb{Z}\left[a_i-a_j\right] \end{aligned}”. 2025. JP Journal of Algebra, Number Theory and Applications 64 (3): 251-87. https://doi.org/10.17654/0972555525015.