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.