• Title of article

    FREE MODIFIED ROTA-BAXTER ALGEBRAS an‎d HOPF ALGEBRAS

  • Author/Authors

    Zhang, Xigou College of Mathematics and Information Science - Jiangxi Normal University, China , Gao, Xing School of Mathematics and Statistics - Key Laboratory of Applied Mathematics and Complex Systems - Lanzhou University, china , Guo, Li Department of Mathematics and Computer Science - Rutgers University - Newark, USA

  • Pages
    23
  • From page
    12
  • To page
    34
  • Abstract
    The notion of a modified Rota-Baxter algebra comes from the combination of those of a Rota-Baxter algebra and a modified Yang-Baxter equation. In this paper, we first construct free modified Rota-Baxter algebras. We then equip a free modified Rota-Baxter algebra with a bialgebra structure by a cocycle construction. Under the assumption that the generating algebra is a connected bialgebra, we further equip the free modified Rota-Baxter algebra with a Hopf algebra structure.
  • Keywords
    Modified Rota-Baxter algebra , Rota-Baxter algebra , Hopf algebra , bracketed word , cocycle
  • Journal title
    International Electronic Journal of Algebra
  • Serial Year
    2019
  • Full Text URL
    dergipark.org.tr/en/download/article-file/613171
  • Record number

    2599892

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2599892