Coreflections in Algebraic Quantum Logic
Abstract
Various generalizations of Boolean algebras are being studied in algebraic quantum logic, including orthomodular lattices, orthomodular po-sets, orthoalgebras and effect algebras. This paper contains a systematic study of the structure in and between categories of such algebras. It does so via a combination of totalization (of partially defined operations) and transfer of structure via coreflections.
- Publication:
-
Foundations of Physics
- Pub Date:
- July 2012
- DOI:
- 10.1007/s10701-012-9654-8
- Bibcode:
- 2012FoPh...42..932J
- Keywords:
-
- Effect algebra;
- Partial commutative monoid;
- Tensor product;
- Limit and colimit