Semiorthomodular BZ*-lattices

roberto giuntini;claudia muresan;francesco paoli

2023-01-01

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Abstract

Paraorthomodular BZ⁎-lattices, for short PBZ⁎-lattices, were introduced in [8] as an abstraction from the lattice of effects of a complex separable Hilbert space, endowed with the spectral ordering. These structures were meant to be a first approximation to a complete description of the equational theory of such lattices of effects. A better approximation is introduced here, together with a preliminary investigation of its properties.