The universal group of a Heyting effect algebra

Studia Logica 84 (3):407 - 424 (2006)
A Heyting effect algebra (HEA) is a lattice-ordered effect algebra that is at the same time a Heyting algebra and for which the Heyting center coincides with the effect-algebra center. Every HEA is both an MV-algebra and a Stone-Heyting algebra and is realized as the unit interval in its own universal group. We show that a necessary and sufficient condition that an effect algebra is an HEA is that its universal group has the central comparability and central Rickart properties.
Keywords Philosophy   Computational Linguistics   Mathematical Logic and Foundations   Logic
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