Ma, Jingjing2020-09-032020-09-032013Ma, Y. Zhang, Lattice-ordered matrix algebras containing positive cycles, Positivity 17 (2013), 299-307.https://hdl.handle.net/10657.1/2453It is shown that if a lattice-ordered n × n (n ≥ 2) matrix ring over a totally ordered integral domain or division ring containing a positive n-cycle, then it is isomorphic to the lattice-ordered n × n matrix ring with entrywise lattice order.Division ring Integral domain Lattice-ordered algebra Matrix algebra Positive n-cycleArticle