Uniqueness of algebraic unitizations of generalized pseudo effect algebras

DOI10.1080/09720529.2019.1661595zbMath1496.03256OpenAlexW2982566585WikidataQ126862004 ScholiaQ126862004MaRDI QIDQ5036742

Ai-Li Yang

Publication date: 23 February 2022

Published in: Journal of Discrete Mathematical Sciences and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/09720529.2019.1661595

zbMATH Keywords

isomorphismgeneralized pseudo effect algebraunitization

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12)

Cites Work

• Weak commutative pseudoeffect algebras
• Effect algebras and unsharp quantum logics.
• Observations on non-commutative fuzzy logic
• Algebras in the positive cone of po-groups
• Effect algebraic extensions of generalized effect algebras and two-valued states
• Congruences and ideals of effect algebras
• Some ideal lattices in partial abelian monoids and effect algebras
• Quotients of partial abelian monoids
• Riesz ideals in generalized pseudo effect algebras and in their unitizations
• Riesz ideals in generalized effect algebras and in their unitizations
• Congruences and ideals in pseudoeffect algebras
• Pseudoeffect algebras. I: Basic properties
• Pseudoeffect algebras. II: Group representations
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