A characterization of quantic quantifiers in orthomodular lattices
Theory and applications of categories, Tome 16 (2006), pp. 206-217
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Let L be an arbitrary orthomodular lattice. There is a one to one correspondence between orthomodular sublattices of L satisfying an extra condition and quantic quantifiers. The category of orthomodular lattices is equivalent to the category of posets having two families of endofunctors satisfying six conditions.
Classification :
03G12, 06C99.
Keywords: Quantum logic, orthomodular lattice.
Keywords: Quantum logic, orthomodular lattice.
@article{TAC_2006_16_a9,
author = {Leopoldo Rom\'an},
title = {A characterization of quantic quantifiers in orthomodular lattices},
journal = {Theory and applications of categories},
pages = {206--217},
year = {2006},
volume = {16},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TAC_2006_16_a9/}
}
Leopoldo Román. A characterization of quantic quantifiers in orthomodular lattices. Theory and applications of categories, Tome 16 (2006), pp. 206-217. http://geodesic.mathdoc.fr/item/TAC_2006_16_a9/