The completions of multi-posets and quantum B-algebras

DOI10.1016/j.fss.2019.04.025zbMath1465.06002OpenAlexW2943396731MaRDI QIDQ2041251

Changchun Xia, Bin Zhao

Publication date: 16 July 2021

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2019.04.025

zbMATH Keywords

completionmulti-posetquantum B-algebrapartially ordered semigroupconsistent quantic nucleus

Mathematics Subject Classification ID

Ordered semigroups and monoids (06F05) Quantum logic (03G12) Quantales (06F07) Injectives, projectives (08B30) Generalizations of ordered sets (06A75)

Related Items (1)

A categorical equivalence between logical quantale modules and quantum B‐modules

Cites Work

• Multi-posets in algebraic logic, group theory, and non-commutative topology
• Non-commutative logical algebras and algebraic quantales
• Cut elimination and strong separation for substructural logics: an algebraic approach
• Étale groupoids and their quantales
• An enriched category approach to many valued topology
• Filters on some classes of quantum B-algebras
• From quantale algebroids to topological spaces: fixed- and variable-basis approaches
• Completion and finite embeddability property for residuated ordered algebras.
• The unitality of quantum B-algebras
• Quantum B-algebras: their omnipresence in algebraic logic and beyond
• Q-filters of quantum B-algebras and basic implication algebras
• Quantum B-algebras
• Categorial characterization of the MacNeille completion
• Hüllensysteme und Erweiterung von Quasi‐Ordnungen
• Quantales and (noncommutative) linear logic
• Residuated frames with applications to decidability
• Pseudoeffect algebras. I: Basic properties
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The completions of multi-posets and quantum B-algebras