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Matematicheskie Zametki, 2018, Volume 104, Issue 1, Pages 131–147
DOI: https://doi.org/10.4213/mzm11075 (Mi mzm11075) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Solutions of Hom-Yang–Baxter Equation from Monoidal Hom-(Co)Algebra Structures

Zhengming Jiao, Gongyu Huang

Henan Normal University
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DOI: https://doi.org/10.4213/mzm11075
Abstract: 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.
Funding agency Grant number
National Natural Science Foundation of China 132300410052
The work was supported by the Natural Science Foundation of Henan Province under grant no. 132300410052.
Received: 03.12.2015
Revised: 27.01.2017
English version:
Mathematical Notes, 2018, Volume 104, Issue 1, Pages 121–134
DOI: https://doi.org/10.1134/S0001434618070131
Bibliographic databases:
Document Type: Article
UDC: 512.554.517.9
Language: Russian
Citation: Zhengming Jiao, Gongyu Huang, “Solutions of Hom-Yang–Baxter Equation from Monoidal Hom-(Co)Algebra Structures”, Mat. Zametki, 104:1 (2018), 131–147; Math. Notes, 104:1 (2018), 121–134
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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