37 citations · 130 across the 21 of their papers we have counts for
26 papers
Spectrality in convex sequential effect algebras
Anna Jenčová, Sylvia Pulmannová
For convex and sequential effect algebras, we study spectrality in the sense of Foulis. We show that under additional conditions (strong archimedeanity, closedness in norm and a ce…
Observables on synaptic algebras
A. Jenčová, S. Pulmannová
Synaptic algebras, introduced by D. Foulis, generalize different algebraic structures used so far as mathematical models of quantum mechanics: the traditional Hilbert space approac…
Tensor product of dimension effect algebras
Anna Jencova, Sylvia Pulmannova
Dimension effect algebras were introduced in (A. Jencova, S. Pulmannova, Rep. Math. Phys. 62 (2008), 205-218), and it was proved that they are unit intervals in dimension groups. W…
Partition Logics, Orthoalgebras and Automata
Anatolij Dvurecenskij, Sylvia Pulmannova, Karl Svozil
We investigate the orthoalgebras of certain non-Boolean models which have a classical realization. Our particular concern will be the partition logics arising from the investigatio…
Spectral order on synaptic algebras
David J. Foulis, Sylvia Pulmannova
We define and study an alternative partial order, called the spectral order, on a synaptic algebra-a generalization of the self-adjoint part of a von Neumann algebra. We prove that…
Kadison's antilattice theorem for a synaptic algebra
David J. Foulis, Sylvia Pulmannova
We prove that if A is a synaptic algebra and the orthomodular lattice P of projections in A is complete, then A is a factor iff A is an antilattice. We also generalize several othe…