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Lazy 2-cocycles over monoidal Hom-Hopf algebras

Volume 142 / 2016

Xiaofan Zhao, Xiaohui Zhang Colloquium Mathematicum 142 (2016), 61-81 MSC: Primary 16T05. DOI: 10.4064/cm142-1-3


We introduce the notion of a lazy $2$-cocycle over a monoidal Hom-Hopf algebra and determine all lazy $2$-cocycles for a class of monoidal Hom-Hopf algebras. We also study the extension of lazy $2$-cocycles to a Radford Hom-biproduct.


  • Xiaofan ZhaoCollege of Mathematics and Information Science
    Henan Normal University
    Xinxiang, China
  • Xiaohui ZhangSchool of Mathematical Sciences
    Qufu Normal University
    Qufu, China

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