Lattice-ordered matrix algebras over real GCD-domains

Fei Li, Xianlong Bai, Derong Qiu

Let $R\subset \mathbb{R}$ be a GCD-domain. In this paper, Weinberg's conjecture on the $n\times n$ matrix algebra $M_n(R)(n\ge 2)$ is proved. Moreover, all the lattice order…