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A Generalization of Strassen’s Theorem on Preordered Semirings

A Generalization of Strassen’s Theorem on Preordered Semirings

Abstract Given a commutative semiring with a compatible preorder satisfying a version of the Archimedean property, the asymptotic spectrum, as introduced by Strassen (J. reine angew. Math. 1988), is an essentially unique compact Hausdorff space together with a map from the semiring to the ring of continuous functions. Strassen’s theorem …