YANG–BAXTER SYSTEMS AND ENTWINING STRUCTURES

DOI10.1081/AGB-200053815zbMath1142.20032OpenAlexW2001203350MaRDI QIDQ4681037

Brendan Goldsmith, Lutz H. Strüngmann

Publication date: 14 June 2005

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-200053815

zbMATH Keywords

endomorphismstorsion-free Abelian groupsautomorphismsinjective groupsfully transitive Abelian groupsheight sequencesrealizations of endomorphism ringsweakly transitive Abelian groups

Mathematics Subject Classification ID

Torsion-free groups, infinite rank (20K20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)

Related Items (14)

FULLY TRANSITIVE, TRANSITIVE ABELIAN GROUPS AND SOME THEIR GENERALIZATIONS ⋮ Universally fully and Krylov transitive torsion-free abelian groups ⋮ On transitivity-like properties for torsion-free abelian groups ⋮ Quotient-transitivity and cyclic subgroup-transitivity ⋮ Some transitivity-like concepts in abelian groups ⋮ Algebras versus coalgebras ⋮ Torsion-free weakly transitive \(E\)-Engel abelian groups. ⋮ Tropical limit of matrix solitons and entwining Yang-Baxter maps ⋮ The Hopfian exponent of an abelian group. ⋮ Corner’s Realization Theorems from the Viewpoint of Algebraic Entropy ⋮ On some properties of endomorphism rings of abelian groups ⋮ On fully quasitransitive abelian groups ⋮ On weakly transitive torsion-free abelian groups ⋮ Entwining Yang–Baxter maps related to NLS type equations

Cites Work

• On modules associated to coalgebra Galois extensions
• Coalgebra bundles
• The structure of corings: induction functors, Maschke-type theorem, and Frobenius and Galois-type properties
• A METHOD FOR OBTAINING QUANTUM DOUBLES FROM THE YANG-BAXTER R-MATRICES
• QUANTUM INTEGRABILITY OF NON-ULTRALOCAL MODELS THROUGH BAXTERIZATION OF QUANTIZED BRAIDED ALGEBRA
• Coalgebra extensions and algebra coextensions of galois type
• Glueing operation for R-matrices, quantum groups and link-invariants of Hecke type
• Yang-baxter operators arising from (co)algebra structures
• SOLUTION OF THE YANG–BAXTER SYSTEM FOR QUANTUM DOUBLES
• Construction of quantum doubles from solutions of Yang-Baxter system

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