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math.GM2025
Implicative-ortholattices as orthogonality spaces
Lavinia Corina Ciungu
We obtain an orthogonality space by endowing an implicative-ortholattice with a suitable orthogonality relation; for such spaces, we also investigate the particular case of implica…
math.QA2025
Classification of states on certain orthomodular structures
Lavinia Corina Ciungu
We define various type of states on implicative involutive BE algebras (Jauch-Piron state, (P)-state, (B)-state, subadditive state, valuation), and we investigate the relationships…