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Lattice orders on matrix algebras
Authors:Jingjing Ma  Piotr J. Wojciechowski
Affiliation:(1) Department of Mathematical Sciences, University of Houston-Clear Lake, 2700 Bay Area Blvd., Houston, TX 77058, e-mail: ma@cl.uh.edu, US;(2) Department of Mathematical Sciences, The University of Texas at El Paso, El Paso, TX 79968, e-mail: piotr@math.utep.edu, US
Abstract:
We construct all the lattice orders (up to isomorphism) on a full matrix algebra over a subfield of the field of real numbers so that it becomes a lattice-ordered algebra. Received June 26, 2001; accepted in final form February 9, 2002.
Keywords:and phrases: Lattice-ordered algebra   matrix algebra.
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