Compatibility of observables on effect algebras

Anatolij Dvurečenskij

Gejza Jenča

Abstract We give a characterization of subsets of effect algebras, that can be embedded into a range of an observable. To give this characterization, we introduce a new notion of compatibility support mappings.

Gejza Jen

We give a characterization of subsets of effect algebras, that can be embedded into a range of an observable. To give this characterization, we introduce a new notion of compatibility support mappings. c 2012

Anna Jenčová, S. Pulmannová, E. Vinceková

Sylvia Pulmannová

Compatibility relations in effect algebras and their connections with refinements of the orthogonal partitions of unity are studied. Properties of blocks as maximal sets of compatible elements are discussed. Some special kinds of effect algebras are characterized using properties of compatibility. Using refinements, an additional structure on the effect test spaces is introduced and used to a characterization of different types of effect algebras.

Anatolij Dvurečenskij