On the structure of rotation-invariant semigroups

Archive for Mathematical Logic 42 (5):489-514 (2003)
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Abstract

We generalize the notions of Girard algebras and MV-algebras by introducing rotation-invariant semigroups. Based on a geometrical characterization, we present five construction methods which result in rotation-invariant semigroups and in particular, Girard algebras and MV-algebras. We characterize divisibility of MV-algebras, and point out that integrality of Girard algebras follows from their other axioms.

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10.1007/s00153-002-0165-8

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Citations of this work

Varieties of BL-Algebras III: Splitting Algebras.Paolo Aglianó - 2019 - Studia Logica 107 (6):1235-1259.
On the reflection invariance of residuated chains.Sándor Jenei - 2010 - Annals of Pure and Applied Logic 161 (2):220-227.

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