Square roots and inverses in e-rings

DOI10.1016/S0034-4877(07)00005-5zbMath1132.06010MaRDI QIDQ2456618

David J. Foulis

Publication date: 19 October 2007

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

orthomodular posetsquare rootsequential producteffect operatorinterval effect algebrae-ringsemi-transparent effectSR propertyVigier property

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Ordered rings, algebras, modules (06F25) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (5)

Generalized Hermitian algebras ⋮ The logic order on a generalized Hermitian algebra ⋮ Regular elements in generalized hermitian algebras ⋮ Projections in a synaptic algebra ⋮ Synaptic algebras

Cites Work

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• Jordan algebras of self-adjoint operators
• Fuzzy sets
• Composition of binary quadratic forms

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