scientific article; zbMATH DE number 7687821

DOI10.22111/ijfs.2022.7210zbMath1522.06033MaRDI QIDQ6040926

Yingcang Ma, Xiao Long Xin, Xiao-Fei Yang

Publication date: 23 May 2023

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

\(\ell\)-grouppseudo hooppseudo L-algebraself-similar closure of pseudo L-algebrastructure group of pseudo L-algebra

Mathematics Subject Classification ID

BCK-algebras, BCI-algebras (06F35) Other algebras related to logic (03G25) MV-algebras (06D35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Intervals in \(l\)-groups as \(L\)-algebras
• Lattice pseudoeffect algebras as double residuated structures
• The structure group of an \(L\)-algebra is torsion-free
• Groups with a complemented presentation
• Von Neumann algebras, \(L\)-algebras, Baer*-monoids, and Garside groups
• Non-commutative Łukasiewicz propositional logic
• Braces, radical rings, and the quatum Yang-Baxter equation.
• \(L\)-algebras, self-similarity, and \(l\)-groups
• The structure group of a generalized orthomodular lattice
• A decomposition theorem for square-free unitary solutions of the quantum Yang-Baxter equation
• Set-theoretical solutions to the quantum Yang-Baxter equation
• Results in L-algebras
• Lattice-ordered effect algebras and L-algebras
• Classes of examples of pseudo-MV algebras, pseudo-BL algebras and divisible bounded non-commutative residuated lattices
• Right \(l\)-groups, geometric Garside groups, and solutions of the quantum Yang-Baxter equation
• Rechtskomplementäre Halbgruppen, Axiome, Polynome, Kongruenzen
• Implication connectives in orthomodular lattices
• Groupes de Garside
• Pseudo MV-algebras are intervals in ℓ-groups
• Komplementäre Halbgruppen. Axiomatik und Arithmetik
• Komplementäre Halbgruppen Kongruenzen und Quotienten
• Pseudoeffect algebras. I: Basic properties