In: Mathematica Slovaca, vol. 64, no. 3
David Foulis - Sylvia Pulmannová
Details:
Year, pages: 2014, 751 - 776
Keywords:
synaptic algebra, Jordan algebra, order-unit space, projection, symmetry equivalence of projections, relative center property
About article:
A synaptic algebra is a generalization of the Jordan algebra of self-adjoint elements of a von Neumann algebra. We study symmetries in synaptic algebras, i.e., elements whose square is the unit element, and we investigate the equivalence relation on the projection lattice of the algebra induced by finite sequences of symmetries. In case the projection lattice is complete, or even centrally orthocomplete, this equivalence relation is shown to possess many of the properties of a dimension equivalence relation on an orthomodular lattice.
How to cite:
ISO 690:
Foulis, D., Pulmannová, S. 2014. Symmetries in synaptic algebras. In Mathematica Slovaca, vol. 64, no.3, pp. 751-776. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0238-2
APA:
Foulis, D., Pulmannová, S. (2014). Symmetries in synaptic algebras. Mathematica Slovaca, 64(3), 751-776. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0238-2
About edition: