Linear diophantine equations in several variables

Rachel Quinlan, Moumita Shau, Fernando Szechtman

Let $R$ be a ring and let $(a_1,\dots ,a_n)\in R^n$ be a unimodular vector, where $n\ge 2$ and each $a_i$ is in the center of $R$. Consider the linear equation $a_1X_1+\cdots+a_nX_…