Homotopy DG algebras induce homotopy BV algebras
  Let TA denote the space underlying the tensor algebra of a vector space A. In this short note, we show that if A is a differential graded algebra, then TA is a differential Batalin-Vilkovisky algebra. Moreover, if A is an A-infinity algebra, then TA is a commutative BV-infinity algebra. 
John Terilla, Thomas Tradler, Scott O. Wilson
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