6 papers
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…
Quantum-Wajsberg algebras
Lavinia Corina Ciungu
Starting from involutive BE algebras, we redefine the quantum-MV algebras, by introducing and studying the notion of quantum-Wajsberg algebras. We define the -commutative qua…
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…
Centers of quantum-Wajsberg algebras
Lavinia Corina Ciungu
We define the Wajsberg-center and the OML-center of a quantum-Wajsberg algebra, and study their structures. We prove that the Wajsberg-center is a Wajsberg subalgebra of a quantum-…
Generalizations of quantum-Wajsberg algebras
Lavinia Corina Ciungu
Starting from involutive BE algebras, we redefine the pre-MV and meta-MV algebras, by introducing the notion of pre-Wajsberg and meta-Wajsberg algebras, as generalizations of quant…
Quotient quantum-Wajsberg algebras
Lavinia Corina Ciungu
We define and study the notions of q-deductive systems, p-deductive systems, deductive systems, maximal and strongly maximal q-deductive systems in quantum-Wajsberg algebras. We al…