The structure group of an \(L\)-algebra is torsion-free

DOI10.1515/jgth-2016-0037zbMath1367.20040OpenAlexW2522010889MaRDI QIDQ516383

Wolfgang Rump

Publication date: 14 March 2017

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgth-2016-0037

zbMATH Keywords

torsion-free groupstructure group\(L\)-algebraleft hoopleft group of fractions

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Braid groups; Artin groups (20F36) Ordered groups (06F15) Ordered groups (group-theoretic aspects) (20F60) Yang-Baxter equations (16T25)

Related Items (9)

The structure group of a non-degenerate effect algebra ⋮ The extension of L-algebras and states ⋮ \(L\)-effect algebras ⋮ Unnamed Item ⋮ Results in L-algebras ⋮ L-algebras with duality and the structure group of a set-theoretic solution to the Yang-Baxter equation ⋮ Von Neumann algebras, \(L\)-algebras, Baer*-monoids, and Garside groups ⋮ \(L\)-algebras in logic, algebra, geometry, and topology ⋮ Quantifiers on L-algebras

Cites Work

• The group of fractions of a torsion free lcm monoid is torsion free.
• \(L\)-algebras, self-similarity, and \(l\)-groups
• Groupes et anneaux reticules
• Gaussian groups are torsion free
• A decomposition theorem for square-free unitary solutions of the quantum Yang-Baxter equation
• Right \(l\)-groups, geometric Garside groups, and solutions of the quantum Yang-Baxter equation
• Set-theoretic solutions of the Yang-Baxter equation, RC-calculus, and Garside germs.
• Rechtskomplementäre Halbgruppen, Axiome, Polynome, Kongruenzen
• Garside Groups and Yang–Baxter Equation
• Groupes de Garside
• BRAIDS, ORDERINGS AND ZERO DIVISORS
• Braid Groups and Left Distributive Operations
• Gaussian Groups and Garside Groups, Two Generalisations of Artin Groups
• The Lebesgue state of a unital abelian lattice-ordered group
• Configuration Spaces.
• The Braid Groups.
• The center of thin Gaussian groups
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