1980
DOI: 10.2307/2043227
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Elementary Functional Equations on Partially Ordered Linear Algebra

Abstract: Abstract. Suppose that a Dedekind a-complete partially ordered linear algebra A admits a function with familiar functional and order properties as possessed by the real-valued exponential, logarithm, root or power function on the real line. Then A can be characterized as an algebra of almost finite extended-real-valued continuous functions defined on some proper topological space.

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