Fix a commutative ring $\mathbf{k}$, two elements $ , \in\mathbf{k}$ and a positive integer $n$. Let $\mathcal{X}$ be the polynomial ring over $\mathbf{k}$ in the $n(n-1)/2$ indeterminates $x_{i,j}$ for all $1\leq i
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t$-Unique Reductions for M sz ros's Subdivision Algebra