Kalmbach measurability In d0-algebras
Anna Avallone, Paolo Vitolo · Mathematica Slovaca · 2022
Abstract We introduce the notion of ∧-projection in order to extend to d0-algebras the concept of Kalmbach measurable elements with respect to an outer measure μ. We prove, in case μ is faithful, that Kalmbach measurable ∧-projections are quasi-central, thus generalizing a result known for orthomodular lattices, and recently extended to D-lattices.