Geodesic
Solutions of Hom-Yang--Baxter Equation from Monoidal Hom-(Co)Algebra Structures
Matematičeskie zametki, Tome 104 (2018) no. 1, pp. 131-147

Voir la notice de l'article provenant de la source Math-Net.Ru

A method for constructing solutions of the Hom-Yang–Baxter equations is presented. Thus methods yields a so-called $\alpha$-involutory solution of the Hom-Yang–Baxter equation for every monoidal Hom-(co)algebra structure on a space. Characterizations for solutions of Hom-Yang–Baxter equations arising from monoidal Hom-(co)algebra structures are given, and a monoidal Hom-(co)algebra structure which produces such a solution is constructed.
Keywords: monoidal Hom-algebra, monoidal Hom-coalgebra, Hom-Yang–Baxter equation. 
@article{MZM_2018_104_1_a11,
     author = {Zhengming Jiao and Gongyu Huang},
     title = {Solutions of {Hom-Yang--Baxter} {Equation} from {Monoidal} {Hom-(Co)Algebra} {Structures}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {131--147},
     publisher = {mathdoc},
     volume = {104},
     number = {1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_104_1_a11/}
}
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Zhengming Jiao; Gongyu Huang. Solutions of Hom-Yang--Baxter Equation from Monoidal Hom-(Co)Algebra Structures. Matematičeskie zametki, Tome 104 (2018) no. 1, pp. 131-147. http://geodesic.mathdoc.fr/item/MZM_2018_104_1_a11/