Canonical completions of lattices and ortholattices

Rok, strany: 1998, 85 - 96

Every lattice, and ortholattice, can be represented as the closed elements of some Galois connection on a Boolean algebra. The canonical extension of this Boolean algebra yields a completion of the lattice, or ortholattice. We give a purely order theoretic characterization of this completion, and investigate its properties. While it preserves distributivity, it unfortunately preserves neither modularity nor orthomodularity.

ISO 690:

Harding, J. 1998. Canonical completions of lattices and ortholattices. In Tatra Mountains Mathematical Publications, vol. 15, no.2, pp. 85-96. 1210-3195.

APA:

Harding, J. (1998). Canonical completions of lattices and ortholattices. Tatra Mountains Mathematical Publications, 15(2), 85-96. 1210-3195.