Abstract
In this note we consider properties of unital lattice-ordered rings that are division closed and characterize unital lattice-ordered algebras that are algebraic and division closed. Extending partial orders to lattice orders that are division closed is also studied. In particular, it is shown that a field is L ∗ if and only if it is O ∗.
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Ma, J. Division Closed Lattice-Ordered Rings. Order 34, 363–368 (2017). https://doi.org/10.1007/s11083-016-9406-z
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DOI: https://doi.org/10.1007/s11083-016-9406-z