Generalized halfspaces in dimension groups

Annals of Pure and Applied Logic 154 (1):8-26 (2008)
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Abstract

In a dimension group, the projection of a finite intersection of generalized halfspaces is a finite intersection of generalized halfspaces. The dimension groups obeying a stronger version of this result, true in dense Archimedean ordered groups, are characterized algebraically and provided with a simple set of axioms

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10.1016/j.apal.2007.10.009

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Generalized Halfspaces in the Mixed-Integer Realm.Philip Scowcroft - 2009 - Notre Dame Journal of Formal Logic 50 (1):43-51.

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