“\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}”, JPJANA, vol. 64, no. 3, pp. 251–287, Mar. 2025, doi: 10.17654/0972555525015.