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A note on ideals in synaptic algebras

In: Mathematica Slovaca, vol. 62, no. 6
Sylvia Pulmannová

Details:

Year, pages: 2012, 1091 - 1104
Keywords:
synaptic algebra, order-unit space, Jordan algebra, effect, projection, orthomodular lattice, carrier projection, symmetry, quadratic ideal, p-ideal
About article:
The notion of a synaptic algebra was introduced by David Foulis. Synaptic algebras unite the notions of an order-unit normed space, a special Jordan algebra, a convex effect algebra and an orthomodular lattice. In this note we study quadratic ideals in synaptic algebras which reflect its Jordan algebra structure. We show that projections contained in a quadratic ideal from a p-ideal in the orthomodular lattice of projections in the synaptic algebra and we find a characterization of those quadratic ideals which are generated by their projections.
How to cite:
ISO 690:
Pulmannová, S. 2012. A note on ideals in synaptic algebras. In Mathematica Slovaca, vol. 62, no.6, pp. 1091-1104. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0067-0

APA:
Pulmannová, S. (2012). A note on ideals in synaptic algebras. Mathematica Slovaca, 62(6), 1091-1104. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0067-0
About edition: