Equivalences, Identities, Symmetric Differences, and Congruences in Orthomodular Lattices

Details Equivalences, Identities, Symmetric Differences, and Congruences in Orthomodular Lattices Equivalences, Identities, Symmetric Differences, and Congruences in Orthomodular Lattices

2003-10-09

arxiv.org/abs/quant-ph/0310063v1

International Journal of Theoretical Physics, Vol. 42, No. 12, 2797-2805 (2003).

Physics

Quantum Physics

13 pages, 1 figure, 1 table; To be published in International Journal of Theoretical Physics, Vol. 42, No. 12 (2003); Web page

Scientific paper

10.1023/B:IJTP.0000006006.18494.

It is shown that operations of equivalence cannot serve for building algebras which would induce orthomodular lattices as the operations of implication can. Several properties of equivalence operations have been investigated. Distributivity of equivalence terms and several other 3 variable expressions involving equivalence terms have been proved to hold in any orthomodular lattice. Symmetric differences have been shown to reduce to complements of equivalence terms. Some congruence relations related to equivalence operations and symmetric differences have been considered.

Affiliated with

Also associated with

No associations

Rating

Equivalences, Identities, Symmetric Differences, and Congruences in Orthomodular Lattices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Equivalences, Identities, Symmetric Differences, and Congruences in Orthomodular Lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Equivalences, Identities, Symmetric Differences, and Congruences in Orthomodular Lattices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-217165