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Lattice orders on matrix algebras

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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.

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Received June 26, 2001; accepted in final form February 9, 2002.

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Ma, J., Wojciechowski, P. Lattice orders on matrix algebras. Algebra univers. 47, 435–441 (2002). https://doi.org/10.1007/s00012-002-8198-8

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  • DOI: https://doi.org/10.1007/s00012-002-8198-8

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