A quantum analogue of generalized cluster algebras
  We define a quantum analogue of a class of generalized cluster algebras which can be viewed as a generalization of quantum cluster algebras defined in \cite{berzel}. In the case of rank two, we extend some structural results from the classical theory of generalized cluster algebras obtained in \cite{CS}\cite{rupel} to the quantum case. 
Liqian Bai, Xueqing Chen, Ming Ding and Fan Xu
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