Lattice-ordered matrix algebras containing positive cycles
Date
2013
Authors
Ma, Jingjing
Journal Title
Journal ISSN
Volume Title
Publisher
Positivity
Abstract
It 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.
Description
Keywords
Division ring Integral domain Lattice-ordered algebra Matrix algebra Positive n-cycle
Citation
Ma, Y. Zhang, Lattice-ordered matrix algebras containing positive cycles, Positivity 17 (2013), 299-307.