Abstract

This paper deals with the halfing morphism of CvD0,NCv_{D_0, N}-convex modules, where D0D_0 is the semiring of non-negative dyadic rationals, and its use in the explicit construction of the left adjoint to the functor OD0,N:D0 O_{D_0, N}:D_0\,-Mod ⟶CvD0,N\longrightarrow Cv_{D_0, N}- Cmod that assigns to each D0D_0-module its canonical CvD0,NCv_{D_0, N}-convex module. Furthermore it is shown that CvD0,NCv_{D_0, N}-Cmod is isomorphic to the category MP of midpoint algebras

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Helmut Röhrl

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Suggested citation

H. Röhrl. “The Category Cv_{D_0, N}-Cmod and MP.” Journal of Convex Analysis 8 (2001), No. 2, 555–568. https://doi.org/10.68381/jca08029

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Published by Heldermann Verlag, 2001. Rights now held by Banach Press LLC.