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math.LO2024
Foulis-Holland theorem for implicative-orthomodular lattices
Lavinia Corina Ciungu
We introduce the notion of distributivity for implicative-orthomodular lattices, proving an analogue result of the Foulis-Holland theorem. Based on this result, we characterize the…
math.RA2024
Implicative-orthomodular lattices
Lavinia Corina Ciungu
Based on implicative involutive BE algebras, we redefine the orthomodular lattices, by introducing the notion of implicative-orthomodular lattices, and we study their properties. W…
math.LO2024
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…