Multi-posets in algebraic logic, group theory, and non-commutative topology

DOI10.1016/j.apal.2016.05.001zbMath1377.08002OpenAlexW2345453257MaRDI QIDQ306579

Wolfgang Rump

Publication date: 31 August 2016

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apal.2016.05.001

zbMATH Keywords

completionquantaleinjective envelopemulti-posetquantum B-algebraquantum space

Mathematics Subject Classification ID

Noncommutative topology (46L85) Quantales (06F07) Injectives, projectives (08B30) Abstract algebraic logic (03G27)

Related Items (7)

The unitality of quantum B-algebras ⋮ Locally unital quantum B-algebras ⋮ Von Neumann algebras, \(L\)-algebras, Baer*-monoids, and Garside groups ⋮ The completions of multi-posets and quantum B-algebras ⋮ A few notes on quantum \(B\)-algebras ⋮ Dual quantum B-algebras ⋮ On the injective hulls of quantum B-algebras

Cites Work

• Non-commutative logical algebras and algebraic quantales
• Effect algebras and unsharp quantum logics.
• Algebras in the positive cone of po-groups
• Braces, radical rings, and the quatum Yang-Baxter equation.
• \(L\)-algebras, self-similarity, and \(l\)-groups
• A general Glivenko theorem
• MacNeille completions of \(D\)-posets and effect algebras
• Spatial quantales
• A decomposition theorem for square-free unitary solutions of the quantum Yang-Baxter equation
• An essay on noncommutative topology
• On varieties of biresiduation algebras
• Quantum B-algebras
• Effects, observables, states, and symmetries in physics
• The category of semilattices
• Quantales and C∗-Algebras
• Constructing locales from quantales
• Pseudoeffect algebras. I: Basic properties
• Pseudoeffect algebras. II: Group representations
• On the quantisation of points
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Multi-posets in algebraic logic, group theory, and non-commutative topology